TSTP Solution File: SWV643-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV643-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 : Wed Jul 20 16:27:24 EDT 2022
% Result : Timeout 300.02s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV643-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.11 % Command : bliksem %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % DateTime : Tue Jun 14 18:21:13 EDT 2022
% 0.10/0.31 % CPUTime :
% 1.44/1.82 *** allocated 10000 integers for termspace/termends
% 1.44/1.82 *** allocated 10000 integers for clauses
% 1.44/1.82 *** allocated 10000 integers for justifications
% 1.44/1.82 *** allocated 15000 integers for termspace/termends
% 1.44/1.82 *** allocated 22500 integers for termspace/termends
% 1.44/1.82 *** allocated 33750 integers for termspace/termends
% 1.44/1.82 *** allocated 50625 integers for termspace/termends
% 1.44/1.82 *** allocated 75937 integers for termspace/termends
% 1.44/1.82 Bliksem 1.12
% 1.44/1.82
% 1.44/1.82
% 1.44/1.82 Automatic Strategy Selection
% 1.44/1.82
% 1.44/1.82 Clauses:
% 1.44/1.82 [
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), hAPP( U, W
% 1.44/1.82 ) ), V0 ) ), hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), W
% 1.44/1.82 ), V0 ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( V1, U, V2, V3, V4,
% 1.44/1.82 V5, X, Y, Z, V6, T ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.44/1.82 'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.44/1.82 'tc_nat' ) ) ) ],
% 1.44/1.82 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2,
% 1.44/1.82 V3, V4 ) ), hBOOL( hAPP( hAPP( W, Z ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( V1, V2, V4 ), hAPP( V0, V5 ) ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y,
% 1.44/1.82 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.44/1.82 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ), ~( 'c_lessequals'( Y, X,
% 1.44/1.82 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.44/1.82 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 T, X ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.44/1.82 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.44/1.82 Y, X ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.44/1.82 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 T, X ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.44/1.82 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.44/1.82 Y, X ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Int_OMin', 'c_Int_OMin', 'tc_Int_Oint' ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), U ), W ) )
% 1.44/1.82 , hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), hAPP( X, U ) ), W ) ),
% 1.44/1.82 ~( 'c_Ring__and__Field_Oordered__idom'( V0, V1, V2, V3, V4, V5, X, Y, Z,
% 1.44/1.82 V6, T ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ), Z ) ), Z ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.82 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.82 ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X
% 1.44/1.82 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), W ) ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.82 X, Y, Z ), T ), U ) ), W ) ), ~( 'c_OrderedGroup_Omonoid__mult'( X, Y, Z
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.82 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ),
% 1.44/1.82 'tc_nat' ), Z, 'tc_nat', 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.82 , T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.82 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.82 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.82 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.82 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.44/1.82 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.82 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.44/1.82 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.44/1.82 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.82 , U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.44/1.82 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 'tc_nat' ), X ), 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z,
% 1.44/1.82 'tc_nat' ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), X ), T ), X ), ~(
% 1.44/1.82 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Z, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Z, T, X ) ) ],
% 1.44/1.82 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 1.44/1.82 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 1.44/1.82 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.82 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) )
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( 'c_Suc', Y ) )
% 1.44/1.82 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.82 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'(
% 1.44/1.82 X ), T ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.44/1.82 ), =( Z, Y ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.44/1.82 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.82 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.44/1.82 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.44/1.82 , Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_Int_Oint' ) ), ~(
% 1.44/1.82 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.44/1.82 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.44/1.82 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.44/1.82 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.44/1.82 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.82 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.44/1.82 Z, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y ), T, Y, Y, Y ), Y, X, Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~(
% 1.44/1.82 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.82 [ =( 'c_Set_Oimage'( 'c_Suc', 'c_SetInterval_Oord__class_OatLeastAtMost'(
% 1.44/1.82 X, Y, 'tc_nat' ), 'tc_nat', 'tc_nat' ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( 'c_Suc', X ), hAPP(
% 1.44/1.82 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.82 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.82 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.44/1.82 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( Y, Z, 'tc_Int_Oint' ),
% 1.44/1.82 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 'c_lessequals'( Y, Z
% 1.44/1.82 , 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.82 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.44/1.82 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.44/1.82 T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.82 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 1.44/1.82 , ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ) ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 1.44/1.82 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.44/1.82 Z, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.44/1.82 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), Y ) ],
% 1.44/1.82 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.44/1.82 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.44/1.82 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 1.44/1.82 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), W ) ), hAPP( hAPP( Y, hAPP(
% 1.44/1.82 hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( X, Y, Z ), T ), W ) ) ), ~(
% 1.44/1.82 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.44/1.82 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.82 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.44/1.82 ~( 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X )
% 1.44/1.82 , Z, X, 'tc_fun'( X, X ), Y ), U, Y, X, X ), T,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.82 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.82 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.82 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.82 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.44/1.82 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.44/1.82 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.82 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.82 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.44/1.82 hAPP( X, T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.44/1.82 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.44/1.82 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.44/1.82 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Y ), 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ), Z ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.44/1.82 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.44/1.82 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( X, Y ), ~(
% 1.44/1.82 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.44/1.82 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.44/1.82 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.44/1.82 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.44/1.82 , 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.44/1.82 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.44/1.82 , 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.44/1.82 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.44/1.82 [ ~( 'c_lessequals'( 'c_Int_OPls', 'c_Int_OMin', 'tc_Int_Oint' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.82 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.82 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Z
% 1.44/1.82 , T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.44/1.82 , U ) ), hAPP( hAPP( Y, hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T
% 1.44/1.82 ), U ) ), T ) ), ~( 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.82 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.82 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), Y ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.44/1.82 Z, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Z, 'tc_nat' ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 'tc_nat' ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), T ), Z ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~(
% 1.44/1.82 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.44/1.82 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.44/1.82 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.44/1.82 'tc_nat', X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, Z ) ), hAPP(
% 1.44/1.82 Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ), ~( 'c_lessequals'( Z, T,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.82 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.44/1.82 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.82 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'(
% 1.44/1.82 Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.44/1.82 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.82 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'(
% 1.44/1.82 Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.44/1.82 ), Y ), Z, X ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP( X, Z ), Y ) ),
% 1.44/1.82 =( Z, Y ), ~( 'c_Ring__and__Field_Oordered__idom'( T, U, W, V0, V1, X, V2
% 1.44/1.82 , V3, V4, V5, V6 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, Z ) ), hAPP( hAPP( X, Z ),
% 1.44/1.82 Z ) ), ~( 'c_Ring__and__Field_Oordered__idom'( T, U, W, V0, V1, V2, Y, V3
% 1.44/1.82 , X, V4, V5 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( T, Z ) ), Z ), ~(
% 1.44/1.82 'c_Ring__and__Field_Oordered__idom'( U, W, V0, V1, V2, V3, T, V4, X, Y,
% 1.44/1.82 V5 ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, hAPP( X, Z ) ),
% 1.44/1.82 hAPP( X, T ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, V0, V1,
% 1.44/1.82 V2, V3, V4, V5, Y, X, V6 ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, hAPP( X, Z ) ),
% 1.44/1.82 hAPP( X, T ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, V0, V1,
% 1.44/1.82 V2, V3, X, V4, Y, V5, V6 ) ) ],
% 1.44/1.82 [ =( hAPP( X, hAPP( X, Y ) ), hAPP( X, Y ) ), ~(
% 1.44/1.82 'c_Ring__and__Field_Oordered__idom'( Z, T, U, W, V0, V1, V2, V3, V4, X,
% 1.44/1.82 V5 ) ) ],
% 1.44/1.82 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2,
% 1.44/1.82 V3, V4 ) ), =( hAPP( V3, Z ), Z ) ],
% 1.44/1.82 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, hAPP( Z, T ), U, W, V0,
% 1.44/1.82 V1, V2, V3, Z, V4 ) ), =( T, hAPP( Z, T ) ) ],
% 1.44/1.82 [ =( hAPP( X, Y ), hAPP( hAPP( Z, Y ), hAPP( T, Y ) ) ), ~(
% 1.44/1.82 'c_Ring__and__Field_Oordered__idom'( U, W, V0, V1, V2, V3, X, V4, Z, T,
% 1.44/1.82 V5 ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), Y ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z,
% 1.44/1.82 T, U ), hAPP( W, Y ) ), V0 ) ) ) ), ~(
% 1.44/1.82 'c_Ring__and__Field_Oordered__idom'( V1, V2, Y, V3, V4, X, W, Z, T, V5, U
% 1.44/1.82 ) ), =( V0, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~(
% 1.44/1.82 'c_lessequals'( X, T, 'tc_nat' ) ), =( Z, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~(
% 1.44/1.82 'c_lessequals'( T, X, 'tc_nat' ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ), U ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat'
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( X, Y
% 1.44/1.82 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.44/1.82 ~( hBOOL( hAPP( X, T ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), hAPP( 'c_Suc', T ) ),
% 1.44/1.82 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 'tc_nat' ), Z ), T ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.44/1.82 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ), X ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.44/1.82 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.44/1.82 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.44/1.82 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.44/1.82 Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.44/1.82 , Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.44/1.82 ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.44/1.82 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), Y,
% 1.44/1.82 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.82 , hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.44/1.82 ) ), hAPP( Y, hAPP( 'c_Suc', T ) ) ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 'c_Suc', T ), Z, 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.44/1.82 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ) ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.82 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.44/1.82 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.82 , X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ) ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Z ), U ) ), W ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.44/1.82 ), W, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Z ), T ) ), W ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.82 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ) ],
% 1.44/1.82 [ 'c_lessequals'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP(
% 1.44/1.82 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP(
% 1.44/1.82 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.82 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), 'tc_fun'(
% 1.44/1.82 'tc_nat', 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.82 ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Int_OMin', 'c_Int_OBit0'( X ), 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_lessequals'( 'c_Int_OMin', 'c_Int_OBit0'( X ), 'tc_Int_Oint' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.44/1.82 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.44/1.82 ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.82 ), Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Int_OMin', 'c_Int_OBit1'( X ), 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_lessequals'( 'c_Int_OMin', X, 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.82 'c_Int_OMin', 'c_Int_OBit1'( X ), 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.44/1.82 ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.44/1.82 ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ),
% 1.44/1.82 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ),
% 1.44/1.82 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ), 'tc_nat' ) ),
% 1.44/1.82 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.44/1.82 ) ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.44/1.82 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ), U
% 1.44/1.82 , 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ), U
% 1.44/1.82 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ), 'tc_nat' ) ),
% 1.44/1.82 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), T ), Z ) ), U ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.82 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 1.44/1.82 U, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.44/1.82 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.44/1.82 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 'tc_nat' ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.82 'c_Int_OBit1'( X ), 'c_Int_OMin', 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.82 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.44/1.82 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.44/1.82 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.44/1.82 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.44/1.82 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 Z, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.44/1.82 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 T, Z, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( Z, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.44/1.82 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 Z, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.44/1.82 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 T, Z, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.82 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.82 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'(
% 1.44/1.82 Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.44/1.82 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.44/1.82 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.44/1.82 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.44/1.82 , V0, U, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.44/1.82 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.44/1.82 , V0, U, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.44/1.82 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 X, T, U, Y, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 X, T, U, Z, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.44/1.82 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, Y, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, Z, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, W, Y, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, W, Z, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.44/1.82 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.44/1.82 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.44/1.82 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.44/1.82 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.44/1.82 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.44/1.82 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.44/1.82 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.44/1.82 W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.44/1.82 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.44/1.82 W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.44/1.82 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.44/1.82 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.44/1.82 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.44/1.82 W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.44/1.82 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.44/1.82 W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 X, T, U, Y, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, Y, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, W, Y, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.44/1.82 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.44/1.82 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.44/1.82 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ =( 'c_Set_Oimage'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.82 X, 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, 'tc_nat' ), 'tc_nat',
% 1.44/1.82 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.82 ), Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.44/1.82 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.44/1.82 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.44/1.82 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.82 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.82 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.82 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'(
% 1.44/1.82 Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.44/1.82 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T,
% 1.44/1.82 U ), hAPP( W, V0 ) ), V1 ) ) ), =( V0, Y ), ~(
% 1.44/1.82 'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, V4, V5, X, W, Z, T, V6, U
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.44/1.82 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.44/1.82 X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.44/1.82 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.44/1.82 , X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.44/1.82 Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.44/1.82 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.44/1.82 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, X, Z ), T )
% 1.44/1.82 , U ) ), T ), hAPP( hAPP( X, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y
% 1.44/1.82 , X, Z ), T ), U ) ) ), ~( 'c_OrderedGroup_Omonoid__mult'( Y, X, Z ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), Z )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X
% 1.44/1.82 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ),
% 1.44/1.82 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.82 'c_Int_OBit0'( X ), 'c_Int_OMin', 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.82 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.82 ) ), Z ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.82 Y, X ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), X,
% 1.44/1.82 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.44/1.82 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 X ), Y ), Z ) ), X ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), T ), ~(
% 1.44/1.82 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), U, X
% 1.44/1.82 ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.44/1.82 Y ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 X ), Y ), Z ) ), Z ), Y ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.82 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.44/1.82 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.82 , Z, X ), ~( 'c_SEQ_OZseq'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z
% 1.44/1.82 , 'tc_nat', X, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.44/1.82 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, X, X ), Z, hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.82 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.44/1.82 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.44/1.82 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), T ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), T ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.82 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.44/1.82 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.44/1.82 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.82 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.82 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.82 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.82 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.44/1.82 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.44/1.82 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.44/1.82 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.82 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.44/1.82 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.44/1.82 , X ) ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.44/1.82 ), Z ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.44/1.82 ],
% 1.44/1.82 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.82 X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y )
% 1.44/1.82 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y
% 1.44/1.82 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.82 X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y )
% 1.44/1.82 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.82 X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z )
% 1.44/1.82 , 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) )
% 1.44/1.82 , =( X, Z ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.44/1.82 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.44/1.82 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.44/1.82 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.44/1.82 ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ =( 'c_Set_Oimage'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.82 X, 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, 'tc_nat' ), 'tc_nat'
% 1.44/1.82 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.82 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.82 ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.82 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.44/1.82 ), T ) ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.44/1.82 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.44/1.82 hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.44/1.82 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.44/1.82 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.44/1.82 , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.82 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.44/1.82 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.44/1.82 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.82 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.44/1.82 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 1.44/1.82 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.44/1.82 Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.44/1.82 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.44/1.82 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.44/1.82 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ) ), U ) )
% 1.44/1.82 , ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ), ~(
% 1.44/1.82 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.44/1.82 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.44/1.82 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.44/1.82 Y, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_nat' ) ), Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.44/1.82 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.44/1.83 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.44/1.83 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.44/1.83 ],
% 1.44/1.83 [ 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OMin',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OMin',
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_lessequals'( X, 'c_Int_OMin', 'tc_Int_Oint' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.83 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( X, Y ), hAPP( Z, T ) ), ~( hBOOL( hAPP( hAPP( U, Y ), W ) ) )
% 1.44/1.83 , ~( 'c_Ring__and__Field_Oordered__idom'( V0, Z, W, V1, V2, U, V3, T, V4
% 1.44/1.83 , X, V5 ) ) ],
% 1.44/1.83 [ =( hAPP( X, Y ), Z ), ~( hBOOL( hAPP( hAPP( T, U ), Y ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( W, V0, U, V1, V2, T, V3, Z, V4, X,
% 1.44/1.83 V5 ) ) ],
% 1.44/1.83 [ ~( =( hAPP( X, Y ), hAPP( Z, T ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( U, Z, W, V0, V1, V2, V3, T, V4, X,
% 1.44/1.83 V5 ) ), hBOOL( hAPP( hAPP( V2, Y ), W ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 1.44/1.83 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.44/1.83 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.44/1.83 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.44/1.83 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.44/1.83 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.44/1.83 ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.44/1.83 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.44/1.83 Y ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), W
% 1.44/1.83 ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.44/1.83 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 'c_Divides_Odiv__class_Omod'(
% 1.44/1.83 Z, Y, X ) ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.44/1.83 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X
% 1.44/1.83 , Y, 'tc_nat' ) ), Y ) ) ) ],
% 1.44/1.83 [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.44/1.83 , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y
% 1.44/1.83 , 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), X, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 X, T, 'tc_nat' ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.83 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.44/1.83 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.44/1.83 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.44/1.83 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 T ), Z, X ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.44/1.83 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.44/1.83 Y ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.44/1.83 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.44/1.83 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.44/1.83 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.83 X ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.44/1.83 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.44/1.83 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.44/1.83 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 , Y, X ) ) ],
% 1.44/1.83 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.83 X ), Y ), X, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T,
% 1.44/1.83 Z, 'tc_nat' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( 'c_lessequals'(
% 1.44/1.83 Y, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.83 ), Z ), Y ), 'tc_nat' ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.44/1.83 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.44/1.83 , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_OrderedGroup_Omonoid__mult'( Z
% 1.44/1.83 , X, T ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_OrderedGroup_Omonoid__mult'( Y
% 1.44/1.83 , X, T ) ) ],
% 1.44/1.83 [ 'c_lessequals'( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ) ],
% 1.44/1.83 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), Z ),
% 1.44/1.83 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.44/1.83 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 X ), T ), Y ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.44/1.83 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.44/1.83 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.44/1.83 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.44/1.83 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.44/1.83 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.44/1.83 , Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, T ), W ) ), ~( hBOOL( hAPP( hAPP( X, Z ), V0 ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, U, X, V4, V0, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, U ), Z ) ) ), hBOOL( hAPP( hAPP( W, V0 ), T ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, W, X, V4, U, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Y ), W ) ), ~( hBOOL( hAPP( hAPP( X, V0 ), T ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, U, X, V4, V0, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, T ), U ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Y ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, W, X, V4, U, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Z ), W ) ), ~( hBOOL( hAPP( hAPP( X, T ), V0 ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, U, X, V4, V0, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, U ), T ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Z ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, W, X, V4, U, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Y ), W ) ), ~( hBOOL( hAPP( hAPP( X, V0 ), T ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, U, X, V4, V0, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, T ), U ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Y ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, W, X, V4, U, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, T ), W ) ), ~( hBOOL( hAPP( hAPP( X, Z ), V0 ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, U, V4, V0, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, U ), Z ) ) ), hBOOL( hAPP( hAPP( W, V0 ), T ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, X, W, V4, U, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Y ), W ) ), ~( hBOOL( hAPP( hAPP( X, V0 ), T ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, U, V4, V0, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, T ), U ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Y ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, X, W, V4, U, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Z ), W ) ), ~( hBOOL( hAPP( hAPP( X, T ), V0 ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, U, V4, V0, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, U ), T ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Z ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, X, W, V4, U, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Y ), W ) ), ~( hBOOL( hAPP( hAPP( X, V0 ), T ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, U, V4, V0, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, T ), U ) ) ), hBOOL( hAPP( hAPP( W, V0 ), Y ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3, X, W, V4, U, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.44/1.83 Y ), T ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, Y, V0, V1, X
% 1.44/1.83 , V2, V3, V4, Z, V5 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP(
% 1.44/1.83 T, Z ) ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, Y, V0, V1, X
% 1.44/1.83 , V2, V3, V4, T, V5 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.44/1.83 Z ), T ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, T, V0, V1, X
% 1.44/1.83 , V2, V3, V4, Y, V5 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Y
% 1.44/1.83 ) ), Z ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( U, W, Z, V0, V1, X
% 1.44/1.83 , V2, V3, V4, T, V5 ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.44/1.83 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.44/1.83 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.44/1.83 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.44/1.83 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.83 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.83 ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), Y ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T,
% 1.44/1.83 U ), hAPP( W, V0 ) ), V1 ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'(
% 1.44/1.83 V2, V3, Y, V4, X, V5, W, Z, T, V6, U ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.44/1.83 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.44/1.83 , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.44/1.83 , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), Z, T ) ) ],
% 1.44/1.83 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), Z, T ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.83 , T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.83 ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( 'c_Suc', Z ), T,
% 1.44/1.83 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Y ), Z ) ), Z ), Y ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Y ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), U ), 'tc_nat'
% 1.44/1.83 ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.83 , T, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), U
% 1.44/1.83 ), 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ), U,
% 1.44/1.83 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z
% 1.44/1.83 ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ), 'tc_nat' ) ),
% 1.44/1.83 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.44/1.83 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ), U,
% 1.44/1.83 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ),
% 1.44/1.83 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T
% 1.44/1.83 ) ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ), 'tc_nat' ) ),
% 1.44/1.83 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.44/1.83 ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ),
% 1.44/1.83 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.44/1.83 Y ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ) ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, X, 'tc_nat' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 ) ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~(
% 1.44/1.83 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.44/1.83 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 1.44/1.83 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.83 , Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.83 , Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.83 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.83 [ ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.44/1.83 ), Y ), X ), 'tc_nat' ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X )
% 1.44/1.83 ), X ), Y ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , X ), Y ), 'tc_nat' ) ],
% 1.44/1.83 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , X ), Y ), 'tc_nat' ) ],
% 1.44/1.83 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , Y ), X ), 'tc_nat' ) ],
% 1.44/1.83 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , X ), Y ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 1.44/1.83 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.44/1.83 , 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X )
% 1.44/1.83 , Z, X, 'tc_fun'( 'tc_nat', X ), Y ), T, Y, 'tc_nat', X ), U, hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 1.44/1.83 , U, W, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.44/1.83 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.44/1.83 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), W ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ =( X, hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.44/1.83 , X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.83 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.44/1.83 , Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.83 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.44/1.83 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.44/1.83 'c_lessequals'( Y, Z, X ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.44/1.83 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.44/1.83 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.44/1.83 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.44/1.83 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), X ), ~(
% 1.44/1.83 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), ~(
% 1.44/1.83 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.44/1.83 'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.44/1.83 'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~(
% 1.44/1.83 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~(
% 1.44/1.83 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.44/1.83 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 1.44/1.83 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.44/1.83 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.44/1.83 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OMin',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.44/1.83 , T ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.44/1.83 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.44/1.83 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_Series_Osums'( Y, Z
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.83 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y, X, X, 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z,
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.83 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.44/1.83 ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.83 ), Y ), Z ), 'tc_nat' ) ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.44/1.83 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.44/1.83 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_Complex_Ocomplex' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.83 ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.83 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.44/1.83 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.44/1.83 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.44/1.83 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.83 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.44/1.83 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.44/1.83 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.83 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.83 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.83 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.83 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.44/1.83 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.44/1.83 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Odiv'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.44/1.83 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.44/1.83 'tc_nat', X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.44/1.83 ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Z, T, 'tc_nat' ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.44/1.83 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.83 , Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.44/1.83 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.83 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ), =( Y, Z ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ), =( Y, Z ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.44/1.83 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.44/1.83 ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.44/1.83 Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.44/1.83 , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 1.44/1.83 ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.44/1.83 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.83 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.44/1.83 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.44/1.83 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.44/1.83 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.44/1.83 ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.44/1.83 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.44/1.83 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.44/1.83 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.44/1.83 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.44/1.83 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.83 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.44/1.83 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat'
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.44/1.83 ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.44/1.83 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.44/1.83 X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.44/1.83 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.44/1.83 , T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.44/1.83 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.44/1.83 , X ) ],
% 1.44/1.83 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, hAPP( V1
% 1.44/1.83 , V2 ), V3, V1, V4 ) ), hBOOL( hAPP( hAPP( W, Z ), V2 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, W ), hAPP( hAPP( V0, W ), Z ) ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, X, T, V4, Y, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, U ), hAPP( hAPP( V0, U ), Y ) ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, T, V4, Z, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Y ), W ) ), hBOOL( hAPP( hAPP( U, W ), Y ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, X, U, V3, V4, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, X, V3, V4, U, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, W ), Y ) ), W ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, X, T, V4, Z, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, U ), Z ) ), U ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, T, V4, Y, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Z ), W ) ), hBOOL( hAPP( hAPP( U, W ), Z ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, X, U, V3, V4, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, X, V3, V4, U, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, W ), hAPP( hAPP( V0, Z ), W ) ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, X, T, V4, Y, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, U ), hAPP( hAPP( V0, Y ), U ) ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, T, V4, Z, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Y ), W ) ), hBOOL( hAPP( hAPP( U, W ), Y ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, X, U, V3, V4, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, X, V3, V4, U, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, Y ), W ) ), W ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, X, T, V4, Z, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, Z ), U ) ), U ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, X, T, V4, Y, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, T ), W ) ), hBOOL( hAPP( hAPP( U, W ), T ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, X, U, V3, V4, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, X, V3, V4, U, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, W ), hAPP( hAPP( V0, W ), Z ) ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, T, X, V4, Y, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, U ), hAPP( hAPP( V0, U ), Y ) ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, T, X, V4, Z, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Y ), W ) ), hBOOL( hAPP( hAPP( U, W ), Y ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, U, X, V3, V4, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, X, V4, U, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, W ), Y ) ), W ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, T, X, V4, Z, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, U ), Z ) ), U ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, T, X, V4, Y, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Z ), W ) ), hBOOL( hAPP( hAPP( U, W ), Z ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, U, X, V3, V4, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, U ), T ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, X, V4, U, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, W ), hAPP( hAPP( V0, Z ), W ) ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, T, X, V4, Y, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, U ), hAPP( hAPP( V0, Y ), U ) ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, T, X, V4, Z, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, Y ), W ) ), hBOOL( hAPP( hAPP( U, W ), Y ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, U, X, V3, V4, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, T ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, U ), T ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, X, V4, U, Z, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, Y ), W ) ), W ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, U, V3, T, X, V4, Z, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( T, U ), W ) )
% 1.44/1.83 ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( V0, Z ), U ) ), U ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V1, V2, W, V3, T, X, V4, Y, V0, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), hBOOL( hAPP(
% 1.44/1.83 hAPP( U, T ), W ) ), hBOOL( hAPP( hAPP( U, W ), T ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, U, X, V3, V4, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ) ), ~( hBOOL( hAPP(
% 1.44/1.83 hAPP( X, U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), U ) ) ), ~(
% 1.44/1.83 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, X, V4, U, Y, V5,
% 1.44/1.83 V6 ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OMin',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.44/1.83 'tc_bool' ) ), X ) ],
% 1.44/1.83 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.44/1.83 ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , Z ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.83 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.83 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.44/1.83 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.83 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.83 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.44/1.83 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.44/1.83 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.44/1.83 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'( Z, Y,
% 1.44/1.83 'tc_Int_Oint' ) ), ~( 'c_lessequals'( X, Z, 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.44/1.83 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_lessequals'( X, X, 'tc_Int_Oint' ) ],
% 1.44/1.83 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.83 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.83 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.44/1.83 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.44/1.83 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.83 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.44/1.83 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.44/1.83 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.44/1.83 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X )
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 ), Y ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 X ), Y ), Z ) ), T, X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 X, 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ), Y,
% 1.44/1.83 'tc_nat' ) ],
% 1.44/1.83 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.44/1.83 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.44/1.83 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 1.44/1.83 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.83 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.44/1.83 'c_lessequals'( Z, Y, X ) ],
% 1.44/1.83 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), 'c_lessequals'( Y, X,
% 1.44/1.83 'tc_Int_Oint' ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.83 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.83 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.44/1.83 ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.44/1.83 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.44/1.83 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.44/1.83 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.44/1.83 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.44/1.83 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.44/1.83 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.44/1.83 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.44/1.83 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.44/1.83 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.44/1.83 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 1.44/1.83 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.44/1.83 , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.83 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.44/1.83 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.83 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.83 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.44/1.83 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.83 ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.83 ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.83 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.83 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.83 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.83 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.44/1.83 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.44/1.83 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.44/1.83 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.44/1.83 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.44/1.83 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.44/1.83 ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.44/1.83 Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z,
% 1.44/1.83 T, X ) ), T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.44/1.83 ) ), Z ), T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.83 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), T ) ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), Y ) ), ~(
% 1.44/1.83 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.83 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), T
% 1.44/1.83 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.83 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), T, X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.44/1.83 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.83 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 1.44/1.83 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.83 , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 'c_Suc',
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ) ), 'tc_nat' ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.44/1.83 , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.44/1.83 ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( Y, hAPP( hAPP( Y, T ), T ) )
% 1.44/1.83 , T ) ), ~( 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.83 , hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_Suc', T ), Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.44/1.83 Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'(
% 1.44/1.83 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.44/1.83 , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.44/1.83 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.44/1.83 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.44/1.83 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.44/1.83 Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'(
% 1.44/1.83 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.44/1.83 ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.44/1.83 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.44/1.83 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.44/1.83 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.44/1.83 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.44/1.83 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Z ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Z ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.44/1.83 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.44/1.83 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.44/1.83 ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.44/1.84 ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 ), Y ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.84 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 1.44/1.84 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.44/1.84 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.44/1.84 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.44/1.84 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), T, X, X, Y ), Y, X, X ),
% 1.44/1.84 U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), hAPP(
% 1.44/1.84 'c_HOL_Ouminus__class_Ouminus'( X ), V0 ) ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.44/1.84 U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.84 , Y ) ), Z ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.84 Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.84 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.84 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.84 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.44/1.84 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.84 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.44/1.84 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.84 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.44/1.84 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.44/1.84 T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 ),
% 1.44/1.84 Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y
% 1.44/1.84 , X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.84 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), W ), V0
% 1.44/1.84 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.44/1.84 , Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.84 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.84 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.44/1.84 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.44/1.84 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.84 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.84 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.44/1.84 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.44/1.84 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.44/1.84 , T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.44/1.84 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.44/1.84 , T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.84 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.44/1.84 T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.84 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Y, X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.84 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Y, X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.44/1.84 , Y ) ) ],
% 1.44/1.84 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL(
% 1.44/1.84 hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.44/1.84 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.44/1.84 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.44/1.84 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.44/1.84 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.44/1.84 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.44/1.84 ],
% 1.44/1.84 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.84 ), Z ) ), T ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.84 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.44/1.84 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.44/1.84 X, X ), Z, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.44/1.84 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.44/1.84 X, X ), Z, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.84 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.84 , X ), ~( 'c_lessequals'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint'
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( Y, 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ), 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.84 , X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.84 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y,
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.84 , X ), ~( 'c_lessequals'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint'
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.84 , X ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.84 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.44/1.84 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.44/1.84 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.84 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.44/1.84 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.44/1.84 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP(
% 1.44/1.84 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.84 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.44/1.84 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.44/1.84 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.84 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), ~( 'c_lessequals'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc', X
% 1.44/1.84 ), hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.44/1.84 ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'(
% 1.44/1.84 X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'c_lessequals'( hAPP( 'c_Suc', X ), X, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc', X
% 1.44/1.84 ), Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~( 'c_lessequals'(
% 1.44/1.84 X, Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.44/1.84 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.84 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.84 'tc_nat' ), X ), Y ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.44/1.84 , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.44/1.84 ), T ), U ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.84 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.84 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.84 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.84 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.44/1.84 U, W, Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.44/1.84 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ) ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.44/1.84 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.44/1.84 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.44/1.84 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.84 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.84 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.44/1.84 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.84 , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.84 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.44/1.84 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.84 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.44/1.84 'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.44/1.84 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.44/1.84 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.84 , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.44/1.84 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.44/1.84 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.84 , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.84 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.84 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.44/1.84 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.84 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.44/1.84 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.84 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.84 'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ),
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X,
% 1.44/1.84 X, Z ), T, Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OPls', X ) ), Y ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.84 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.44/1.84 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( =( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) )
% 1.44/1.84 , Y ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat'
% 1.44/1.84 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.84 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.44/1.84 ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.44/1.84 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.44/1.84 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.44/1.84 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.44/1.84 ],
% 1.44/1.84 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.44/1.84 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.44/1.84 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OPls', 'c_Int_OBit1'( X ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OPls', 'c_Int_OBit1'( X ), 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint'
% 1.44/1.84 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint'
% 1.44/1.84 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OPls', 'c_Int_OBit0'( X ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OPls', 'c_Int_OBit0'( X ), 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X,
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OBit0'( X ), 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_lessequals'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.84 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.84 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.84 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.84 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.84 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.84 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.84 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.84 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2,
% 1.44/1.84 V3, V4 ) ), =( hAPP( hAPP( 'c_Power_Opower_Opower'( V1, V2, V4 ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ],
% 1.44/1.84 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, hAPP( hAPP( T, hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( U, W, V0 ), X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( U
% 1.44/1.84 , W, V0 ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), Y ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, T, Z, V4, V5, U, W, V6,
% 1.44/1.84 V0 ) ) ],
% 1.44/1.84 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( Z, hAPP( hAPP( T, hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( U, W, V0 ), V1 ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( U
% 1.44/1.84 , W, V0 ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), Y ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, T, Z, V4, V5, U, W, V6,
% 1.44/1.84 V0 ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, U ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y
% 1.44/1.84 , Z ), U ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Ocomm__ring__1'( X, Y, W, T, V0, V1, Z ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.84 'c_Suc', Y ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.44/1.84 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.84 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.44/1.84 ) ],
% 1.44/1.84 [ =( X, hAPP( 'c_Suc', Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_lessequals'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.44/1.84 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.44/1.84 V0, V1 ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.44/1.84 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.44/1.84 V0, V1 ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.44/1.84 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.44/1.84 , V0, V1 ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.44/1.84 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.44/1.84 , V0, V1 ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.44/1.84 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =(
% 1.44/1.84 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 1.44/1.84 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_lessequals'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), 'c_lessequals'( Y,
% 1.44/1.84 X, 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP(
% 1.44/1.84 'c_Suc', Y ), X, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', X ), 'tc_nat' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.44/1.84 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.44/1.84 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint'
% 1.44/1.84 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint'
% 1.44/1.84 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit1'( X ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit1'( X ),
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 'tc_Int_Oint' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.44/1.84 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls',
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OPls', 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint'
% 1.44/1.84 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint'
% 1.44/1.84 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.84 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.84 X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.44/1.84 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint'
% 1.44/1.84 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint'
% 1.44/1.84 ), ~( 'c_lessequals'( X, Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_Int_Oint' ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.84 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ =( X, 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), Z ), hAPP( 'c_Suc', X ) ), 'tc_nat' ) ), ~( 'c_lessequals'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), Y,
% 1.44/1.84 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.84 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.44/1.84 , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ),
% 1.44/1.84 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ),
% 1.44/1.84 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.44/1.84 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y )
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Y, 'tc_nat' ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.44/1.84 , 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z )
% 1.44/1.84 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ),
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X )
% 1.44/1.84 , Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ),
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.44/1.84 'c_lessequals'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, 'c_Int_OPls', 'tc_Int_Oint' ), 'c_lessequals'( X, Y
% 1.44/1.84 , 'tc_Int_Oint' ), ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 X, 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.44/1.84 , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.84 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.84 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.84 , X ), 'tc_nat' ), 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X,
% 1.44/1.84 X, 'tc_nat' ), 'tc_nat', X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), T ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), U ) ), X ), ~(
% 1.44/1.84 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.44/1.84 ), 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', Z ), Y, 'tc_nat' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.84 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z, U
% 1.44/1.84 , X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.44/1.84 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.84 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 1.44/1.84 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Z, X ) )
% 1.44/1.84 , ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z
% 1.44/1.84 , U, X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.84 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ),
% 1.44/1.84 ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.84 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z,
% 1.44/1.84 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.44/1.84 'tc_nat' ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.84 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.84 ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, hAPP( hAPP( Z, hAPP(
% 1.44/1.84 hAPP( 'c_Power_Opower_Opower'( T, U, W ), V0 ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.44/1.84 , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), Z, V2, V3, V4, T, U, V5
% 1.44/1.84 , W ) ), =( V0, hAPP( hAPP( Z, hAPP( hAPP( 'c_Power_Opower_Opower'( T, U
% 1.44/1.84 , W ), V0 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( T, U, W ), V1 ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.44/1.84 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, hAPP( hAPP( Z, hAPP(
% 1.44/1.84 hAPP( 'c_Power_Opower_Opower'( T, U, W ), V0 ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.44/1.84 , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), Z, V2, V3, V4, T, U, V5
% 1.44/1.84 , W ) ), =( V1, hAPP( hAPP( Z, hAPP( hAPP( 'c_Power_Opower_Opower'( T, U
% 1.44/1.84 , W ), V0 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( T, U, W ), V1 ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.44/1.84 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( T, U, W ), V0 ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.44/1.84 , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, Z, X, V4, V5, T, U, V6, W
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2,
% 1.44/1.84 V3, V4 ) ), hBOOL( hAPP( hAPP( U, hAPP( hAPP( T, hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( V1, V2, V4 ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( V1
% 1.44/1.84 , V2, V4 ), Z ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), Z ) ) ],
% 1.44/1.84 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T,
% 1.44/1.84 U ), W ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V0, V1, Y, V2, X, V3, V4, Z, T, V5,
% 1.44/1.84 U ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( Y, T ), T ) ), ~(
% 1.44/1.84 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.44/1.84 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( Z, T, U ), W ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), V0, V1, V2, V3, Z, T, V4, U ) ), =( W,
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T, U ), W ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ), U ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( Y
% 1.44/1.84 , Z, T ), U ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, V4, X, Y, Z, V5,
% 1.44/1.84 T ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, U ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y
% 1.44/1.84 , Z ), U ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( W, V0, V1, V2, V3, V4, T, X, Y, V5,
% 1.44/1.84 Z ) ) ],
% 1.44/1.84 [ ~( 'c_Ring__and__Field_Oordered__idom'( X, Y, Z, T, U, W, V0, V1, V2,
% 1.44/1.84 V3, V4 ) ), =( hAPP( hAPP( T, hAPP( hAPP( 'c_Power_Opower_Opower'( V1, V2
% 1.44/1.84 , V4 ), Z ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( V1, V2, V4 ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), Z ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T
% 1.44/1.84 ), U ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), W ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V0, V1, W, V2, V3, X, V4, Y, Z, V5,
% 1.44/1.84 T ) ) ],
% 1.44/1.84 [ ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z,
% 1.44/1.84 T, U ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( W, V0, Y, V1, V2, X, V3, Z, T, V4, U
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( Z, T, U ), W ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z
% 1.44/1.84 , T, U ), V0 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), V1 ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V2, V3, V1, Y, V4, X, V5, Z, T, V6,
% 1.44/1.84 U ) ) ],
% 1.44/1.84 [ ~( hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( T, U, W ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.44/1.84 , U, W ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V0, V1, Y, Z, V2, X, V3, T, U, V4, W
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.44/1.84 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( T, U, W ), V0 ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.44/1.84 , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), =( V0, Y ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, Z, V4, X, V5, T, U, V6, W
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( T, U, W ), V0 ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( T
% 1.44/1.84 , U, W ), V1 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ), =( V1, Y ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V2, V3, Y, Z, V4, X, V5, T, U, V6, W
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T,
% 1.44/1.84 U ), W ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( W, Y ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V0, V1, Y, V2, V3, X, V4, Z, T, V5,
% 1.44/1.84 U ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.44/1.84 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.84 , Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.44/1.84 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.84 , X, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.44/1.84 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.84 , X, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.44/1.84 ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.44/1.84 ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ) ), =( Y, Z ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.44/1.84 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.84 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.44/1.84 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.44/1.84 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ), 'tc_nat' ), ~( 'c_lessequals'( Y,
% 1.44/1.84 Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y )
% 1.44/1.84 , 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 1.44/1.84 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.84 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.44/1.84 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.44/1.84 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBS'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.44/1.84 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.44/1.84 , Y ), 'tc_nat', X, X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), T ), 'tc_nat', X, X ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.84 , 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBB'(
% 1.44/1.84 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.44/1.84 , 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'tc_nat', X, X ), 'tc_nat', X, X ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.44/1.84 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.44/1.84 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.44/1.84 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.44/1.84 , X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.84 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~(
% 1.44/1.84 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.44/1.84 [ =( 'c_Set_Oimage'( 'c_Suc',
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc'
% 1.44/1.84 , X ), hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', Y )
% 1.44/1.84 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( X, Y, 'tc_nat'
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.84 ), Y ), Y ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), =(
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), U ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.84 X, Y, Z ), T ), U ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~(
% 1.44/1.84 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.44/1.84 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( Z, T,
% 1.44/1.84 U ), W ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), V0 ) ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V1, V2, Y, V3, X, V4, V5, Z, T, V6,
% 1.44/1.84 U ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, U ) ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), W ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( X, Y, Z ), U ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), W ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Ocomm__ring__1'( X, Y, V0, T, V1, V2, Z ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, X ) ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), U ) ), X ), ~(
% 1.44/1.84 'c_Ring__and__Field_Ocomm__ring__1'( X, Y, W, T, V0, V1, Z ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ) ), Z ) ), Z ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.84 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.84 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.44/1.84 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.84 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), V0
% 1.44/1.84 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.44/1.84 , Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.44/1.84 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.84 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.84 , X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.44/1.84 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.44/1.84 X ), Z, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.44/1.84 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.44/1.84 X ), Z, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.84 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.44/1.84 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.44/1.84 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.84 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.44/1.84 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.44/1.84 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.84 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.44/1.84 , Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.44/1.84 , Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.44/1.84 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.44/1.84 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.44/1.84 , X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.44/1.84 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.44/1.84 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.44/1.84 , Z ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.44/1.84 , Z ) ],
% 1.44/1.84 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.44/1.84 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) )
% 1.44/1.84 , 'tc_nat' ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T )
% 1.44/1.84 , 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.44/1.84 , Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y )
% 1.44/1.84 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.44/1.84 , 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.44/1.84 , 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y )
% 1.44/1.84 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.44/1.84 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), X ), X ), 'tc_nat' ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ),
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ),
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.84 ), X ), Z ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', Y )
% 1.44/1.84 , 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat',
% 1.44/1.84 'tc_bool' ) ) ), 'c_lessequals'( X, Y, 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.84 , hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.44/1.84 ) ) ), 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', T ), Z, 'tc_nat' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.44/1.84 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.44/1.84 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), T ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), X ), ~( 'c_Series_Osums'( Y,
% 1.44/1.84 T, X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , X ) ), ~( 'c_lessequals'( T, U, 'tc_nat' ) ), ~( 'c_lessequals'( Z, T,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , X ) ), ~( 'c_lessequals'( U, T, 'tc_nat' ) ), ~( 'c_lessequals'( Z, U,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.44/1.84 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.84 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_Complex_Ocomplex' ) ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.44/1.84 ~( 'c_Lim_OLIM'( W, T, U, Y, X ) ), ~( 'c_Lim_OLIM'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ), 'c_COMBB'(
% 1.44/1.84 'c_HOL_Ouminus__class_Ouminus'( X ), W, X, X, Y ), Y, X, X ), T,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.44/1.84 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.44/1.84 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.44/1.84 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.44/1.84 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.44/1.84 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.44/1.84 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.84 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.84 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.84 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.84 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.44/1.84 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.44/1.84 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.84 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.84 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.84 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.84 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.84 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.44/1.84 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.84 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.84 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.44/1.84 T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'(
% 1.44/1.84 T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.84 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.44/1.84 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.84 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.84 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ), X ), ~( 'c_lessequals'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( Y, 'c_Int_OPls',
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.84 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.44/1.84 , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.84 ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.84 ), X ), ~( 'c_lessequals'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'class_Int_Onumber__ring'( X ) ), 'c_lessequals'( 'c_Int_OPls', Y,
% 1.44/1.84 'tc_Int_Oint' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.44/1.84 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.44/1.84 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.44/1.84 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.44/1.84 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.84 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.84 ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.44/1.84 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ) ), 'c_lessequals'( X
% 1.44/1.84 , 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.44/1.84 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.44/1.84 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X,
% 1.44/1.84 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Z, X ) )
% 1.44/1.84 , ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.84 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.44/1.84 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.84 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.84 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.84 ), X, 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.84 ), X, 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.84 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.84 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.84 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.84 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( T, X ) ),
% 1.44/1.84 hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), U ) ) ), hAPP( T, X ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Ocomm__ring__1'( X, Y, W, T, V0, V1, Z ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.44/1.84 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), U ) ) ), hAPP( hAPP( Y, T ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( X, Y, Z ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.84 X, Y, Z ), T ), U ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), ~(
% 1.44/1.84 'c_OrderedGroup_Omonoid__mult'( X, Y, Z ) ) ],
% 1.44/1.84 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( 'c_Power_Opower_Opower'( Y, Z, T ),
% 1.44/1.84 U ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), W ) ) ) ), V0 ) ), ~( hBOOL( hAPP( hAPP(
% 1.44/1.84 X, U ), V0 ) ) ), ~( 'c_Ring__and__Field_Oordered__idom'( V1, V2, V0, V3
% 1.44/1.84 , V4, X, V5, Y, Z, V6, T ) ) ],
% 1.44/1.84 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Y ), hAPP(
% 1.44/1.84 hAPP( 'c_Power_Opower_Opower'( T, U, W ), Z ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), V0 ) ) ) ) ) ), ~(
% 1.44/1.84 'c_Ring__and__Field_Oordered__idom'( V1, V2, Y, V3, X, V4, V5, T, U, V6,
% 1.44/1.84 W ) ) ],
% 1.44/1.84 [ =( X, hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ),
% 1.44/1.84 'c_Parity_Osko__Parity__Xodd__Suc__mult__two__ex__1__1'( X ) ) ) ),
% 1.44/1.84 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.84 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( 'c_Finite__Set_Osetsum'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), Y ) ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'(
% 1.44/1.84 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oimage'( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_nat' ), 'c_Set_Oimage'(
% 1.44/1.84 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_nat' ), 'tc_fun'( 'tc_nat',
% 1.44/1.84 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat',
% 1.44/1.84 'tc_bool' ) ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.84 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.44/1.84 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.44/1.84 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.84 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.44/1.84 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.44/1.84 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.84 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.84 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.84 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.84 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.84 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.84 ) ), 'c_Series_Osums'( Y, Z, X ), ~( 'c_Series_Osums'( 'c_COMBB'( Y,
% 1.44/1.84 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.44/1.84 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.44/1.84 , X, Z, U, W, V0 ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), Z ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.44/1.84 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.44/1.84 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'v_a',
% 1.44/1.84 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'tc_nat' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.44/1.84 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.44/1.84 ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.44/1.84 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.44/1.84 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.44/1.84 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.44/1.84 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.44/1.84 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.44/1.84 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.84 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.44/1.84 'tc_nat', X ) ) ) ],
% 1.44/1.84 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ),
% 1.44/1.84 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_nat' ), 'c_Set_Oimage'(
% 1.44/1.84 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_nat' ), 'tc_fun'( 'tc_nat',
% 1.44/1.84 'tc_bool' ) ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.44/1.84 , Y ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.44/1.84 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.44/1.84 ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.84 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.84 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.84 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.84 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.84 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 'tc_nat' ), X ), X ) ) ],
% 1.44/1.84 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.44/1.84 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.44/1.84 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.44/1.84 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.44/1.84 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.44/1.84 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.84 ) ), 'c_Complex_Oii' ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.44/1.84 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.84 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.44/1.84 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.44/1.84 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.84 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.44/1.84 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.84 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.84 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.44/1.84 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.44/1.84 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.44/1.84 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.84 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.44/1.84 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.44/1.84 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.44/1.84 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.84 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.44/1.84 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 1.44/1.84 'tc_nat', 'tc_nat' ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.84 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.44/1.84 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.84 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.44/1.84 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.84 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.44/1.84 'tc_nat', X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.44/1.84 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.84 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.44/1.84 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.44/1.84 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.44/1.84 , Z ), 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.44/1.84 'tc_nat', X ) ) ],
% 1.44/1.84 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.44/1.84 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.44/1.84 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.44/1.84 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.44/1.84 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.84 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.84 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.84 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.84 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.44/1.84 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.44/1.84 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.44/1.84 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.44/1.84 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.44/1.84 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.44/1.84 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.44/1.84 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.85 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.85 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.85 X ), Y ), Y ) ) ],
% 1.44/1.85 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.44/1.85 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.44/1.85 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.44/1.85 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.85 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.85 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.44/1.85 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.44/1.85 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.44/1.85 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.44/1.85 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.44/1.85 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.44/1.85 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.85 'tc_nat' ) ), Y ) ) ],
% 1.44/1.85 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.85 'tc_nat' ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.85 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.44/1.85 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.85 'tc_nat' ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.85 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.85 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.44/1.85 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.85 ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.85 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.85 ) ) ],
% 1.44/1.85 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.44/1.85 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.85 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.44/1.85 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.85 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.44/1.85 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.85 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.44/1.85 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.85 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.85 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.85 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.85 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.44/1.85 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.44/1.85 , Y ) ],
% 1.44/1.85 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.85 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.44/1.85 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.85 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.85 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.44/1.85 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.85 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.85 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.85 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.85 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.85 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.85 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.85 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.44/1.85 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.85 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.85 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.44/1.85 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.85 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.85 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.85 ) ) ],
% 1.44/1.85 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.44/1.85 , W ) ) ) ],
% 1.44/1.85 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.44/1.85 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.85 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.44/1.85 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.85 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.85 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.85 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.85 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.85 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.44/1.85 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.85 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.85 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.44/1.85 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.85 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.85 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.85 ) ) ],
% 1.44/1.85 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.85 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.85 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.85 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_i' ) ),
% 1.44/1.85 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.44/1.85 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.85 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.85 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.44/1.85 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.85 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.44/1.85 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex',
% 1.44/1.85 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.85 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.44/1.85 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.44/1.85 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.85 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.44/1.85 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.44/1.85 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.44/1.85 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.44/1.85 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.85 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.85 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.85 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_i' ) ),
% 1.44/1.85 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.44/1.85 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.85 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP(
% 1.44/1.85 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.44/1.85 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.85 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.44/1.85 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.44/1.85 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.85 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.44/1.85 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.44/1.85 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex',
% 1.44/1.85 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.85 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.44/1.85 'tc_Complex_Ocomplex' ) ) ) ],
% 1.44/1.85 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.85 'class_Lattices_Olattice'( Y ) ) ],
% 1.44/1.85 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.85 'class_Lattices_Olattice'( Y ) ) ],
% 1.44/1.85 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.85 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.44/1.85 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.85 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.44/1.85 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.85 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.44/1.85 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.85 'class_Orderings_Opreorder'( Y ) ) ],
% 1.44/1.85 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.85 'class_Lattices_Olattice'( Y ) ) ],
% 1.44/1.85 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.85 'class_Orderings_Oorder'( Y ) ) ],
% 1.44/1.85 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.44/1.85 Y ) ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.44/1.85 ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.44/1.85 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.44/1.85 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.44/1.85 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.44/1.85 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.44/1.85 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.44/1.85 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.44/1.85 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.44/1.85 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.44/1.85 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.44/1.85 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.44/1.85 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.44/1.85 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'( 'tc_Int_Oint' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_OrderedGroup_Olordered__ab__group__add__join'( 'tc_Int_Oint' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Lattices_Oupper__semilattice'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Lattices_Olower__semilattice'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Lattices_Odistrib__lattice'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Lattices_Olattice'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.44/1.85 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.44/1.85 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.44/1.85 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.44/1.85 , W ) ) ) ],
% 1.44/1.85 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'c_fequal'( X, X, Y ) ],
% 1.44/1.85 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.44/1.85 ] .
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 percentage equality = 0.227947, percentage horn = 0.864313
% 1.44/1.85 This is a problem with some equality
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Options Used:
% 1.44/1.85
% 1.44/1.85 useres = 1
% 1.44/1.85 useparamod = 1
% 1.44/1.85 useeqrefl = 1
% 1.44/1.85 useeqfact = 1
% 1.44/1.85 usefactor = 1
% 1.44/1.85 usesimpsplitting = 0
% 1.44/1.85 usesimpdemod = 5
% 1.44/1.85 usesimpres = 3
% 1.44/1.85
% 1.44/1.85 resimpinuse = 1000
% 1.44/1.85 resimpclauses = 20000
% 1.44/1.85 substype = eqrewr
% 1.44/1.85 backwardsubs = 1
% 1.44/1.85 selectoldest = 5
% 1.44/1.85
% 1.44/1.85 litorderings [0] = split
% 1.44/1.85 litorderings [1] = extend the termordering, first sorting on arguments
% 1.44/1.85
% 1.44/1.85 termordering = kbo
% 1.44/1.85
% 1.44/1.85 litapriori = 0
% 1.44/1.85 termapriori = 1
% 1.44/1.85 litaposteriori = 0
% 1.44/1.85 termaposteriori = 0
% 1.44/1.85 demodaposteriori = 0
% 1.44/1.85 ordereqreflfact = 0
% 1.44/1.85
% 1.44/1.85 litselect = negord
% 1.44/1.85
% 1.44/1.85 maxweight = 15
% 1.44/1.85 maxdepth = 30000
% 1.44/1.85 maxlength = 115
% 1.44/1.85 maxnrvars = 195
% 1.44/1.85 excuselevel = 1
% 1.44/1.85 increasemaxweight = 1
% 1.44/1.85
% 1.44/1.85 maxselected = 10000000
% 1.44/1.85 maxnrclauses = 10000000
% 1.44/1.85
% 1.44/1.85 showgenerated = 0
% 1.44/1.85 showkept = 0
% 1.44/1.85 showselected = 0
% 1.44/1.85 showdeleted = 0
% 1.44/1.85 showresimp = 1
% 1.44/1.85 showstatus = 2000
% 1.44/1.85
% 1.44/1.85 prologoutput = 1
% 1.44/1.85 nrgoals = 5000000
% 1.44/1.85 totalproof = 1
% 1.44/1.85
% 1.44/1.85 Symbols occurring in the translation:
% 1.44/1.85
% 1.44/1.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.44/1.85 . [1, 2] (w:1, o:188, a:1, s:1, b:0),
% 1.44/1.85 ! [4, 1] (w:0, o:91, a:1, s:1, b:0),
% 1.44/1.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.85 'c_Power_Opower_Opower' [43, 3] (w:1, o:220, a:1, s:1, b:0),
% 1.44/1.85 hAPP [46, 2] (w:1, o:213, a:1, s:1, b:0),
% 1.44/1.85 'c_Ring__and__Field_Oordered__idom' [54, 11] (w:1, o:243, a:1, s:1
% 1.44/1.85 , b:0),
% 1.44/1.85 'class_Ring__and__Field_Oordered__semidom' [55, 1] (w:1, o:98, a:1
% 1.44/1.85 , s:1, b:0),
% 1.44/1.85 'c_HOL_Oplus__class_Oplus' [57, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Oord__class_Oless' [59, 3] (w:1, o:221, a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero' [60, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.44/1.85 'tc_nat' [61, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Otimes__class_Otimes' [62, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.44/1.85 'c_Divides_Odiv__class_Omod' [63, 3] (w:1, o:222, a:1, s:1, b:0),
% 1.44/1.85 'c_Divides_Odiv__class_Odiv' [64, 3] (w:1, o:223, a:1, s:1, b:0),
% 1.44/1.85 hBOOL [65, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Ominus__class_Ominus' [69, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.44/1.85 'class_Orderings_Olinorder' [70, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.44/1.85 'class_OrderedGroup_Olordered__ab__group__add' [71, 1] (w:1, o:106
% 1.44/1.85 , a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Ouminus__class_Ouminus' [72, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.44/1.85 'c_Lattices_Oupper__semilattice__class_Osup' [73, 3] (w:1, o:224, a:1
% 1.44/1.85 , s:1, b:0),
% 1.44/1.85 'c_Suc' [74, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.44/1.85 'c_lessequals' [75, 3] (w:1, o:225, a:1, s:1, b:0),
% 1.44/1.85 'class_Lattices_Oupper__semilattice' [76, 1] (w:1, o:108, a:1, s:1
% 1.44/1.85 , b:0),
% 1.44/1.85 'class_Orderings_Oorder' [80, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.44/1.85 'c_SetInterval_Oord__class_OatLeastLessThan' [81, 3] (w:1, o:226, a:1
% 1.44/1.85 , s:1, b:0),
% 1.44/1.85 'tc_bool' [82, 0] (w:1, o:61, a:1, s:1, b:0),
% 1.44/1.85 'tc_fun' [83, 2] (w:1, o:214, a:1, s:1, b:0),
% 1.44/1.85 'c_Orderings_Obot__class_Obot' [84, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.44/1.85 'c_Int_OMin' [85, 0] (w:1, o:62, a:1, s:1, b:0),
% 1.44/1.85 'tc_Int_Oint' [86, 0] (w:1, o:63, a:1, s:1, b:0),
% 1.44/1.85 'class_Ring__and__Field_Oordered__idom' [87, 1] (w:1, o:111, a:1, s:1
% 1.44/1.85 , b:0),
% 1.44/1.85 'class_Int_Onumber__ring' [88, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Oabs__class_Oabs' [89, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of' [90, 2] (w:1, o:215, a:1, s:1, b:0
% 1.44/1.85 ),
% 1.44/1.85 'c_HOL_Oone__class_Oone' [91, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.44/1.85 'class_Lattices_Odistrib__lattice' [92, 1] (w:1, o:114, a:1, s:1, b:0
% 1.44/1.85 ),
% 1.44/1.85 'c_Lattices_Olower__semilattice__class_Oinf' [93, 3] (w:1, o:227, a:1
% 1.44/1.85 , s:1, b:0),
% 1.44/1.85 'class_OrderedGroup_Ogroup__add' [97, 1] (w:1, o:115, a:1, s:1, b:0)
% 1.44/1.85 ,
% 1.44/1.85 'class_OrderedGroup_Ocomm__monoid__add' [98, 1] (w:1, o:116, a:1, s:1
% 1.44/1.85 , b:0),
% 1.44/1.85 'class_OrderedGroup_Opordered__ab__group__add__abs' [99, 1] (w:1, o:
% 1.44/1.85 118, a:1, s:1, b:0),
% 1.44/1.85 'class_Divides_Osemiring__div' [100, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.44/1.85
% 1.44/1.85 'c_OrderedGroup_Omonoid__mult' [101, 3] (w:1, o:219, a:1, s:1, b:0),
% 1.44/1.85
% 1.44/1.85 'class_RealVector_Oreal__normed__algebra' [102, 1] (w:1, o:121, a:1
% 1.44/1.85 , s:1, b:0),
% 1.44/1.85 'class_Power_Opower' [103, 1] (w:1, o:141, a:1, s:1, b:0),
% 1.44/2.17 'c_Power_Opower__class_Opower' [104, 1] (w:1, o:142, a:1, s:1, b:0),
% 1.44/2.17
% 1.44/2.17 'c_COMBB' [106, 5] (w:1, o:237, a:1, s:1, b:0),
% 1.44/2.17 'c_COMBC' [107, 5] (w:1, o:238, a:1, s:1, b:0),
% 1.44/2.17 'c_SEQ_OLIMSEQ' [108, 3] (w:1, o:228, a:1, s:1, b:0),
% 1.44/2.17 'class_Lattices_Olower__semilattice' [109, 1] (w:1, o:143, a:1, s:1
% 1.44/2.17 , b:0),
% 1.44/2.17 'class_Lattices_Olattice' [110, 1] (w:1, o:144, a:1, s:1, b:0),
% 1.44/2.17 'class_Ring__and__Field_Oordered__field' [111, 1] (w:1, o:145, a:1
% 1.44/2.17 , s:1, b:0),
% 1.44/2.17 'class_Ring__and__Field_Odivision__by__zero' [112, 1] (w:1, o:151, a:
% 1.44/2.17 1, s:1, b:0),
% 1.44/2.17 'class_Int_Onumber' [113, 1] (w:1, o:152, a:1, s:1, b:0),
% 1.44/2.17 'c_HOL_Oinverse__class_Odivide' [114, 1] (w:1, o:153, a:1, s:1, b:0)
% 1.44/2.17 ,
% 1.44/2.17 'class_OrderedGroup_Opordered__ab__group__add' [116, 1] (w:1, o:122
% 1.44/2.17 , a:1, s:1, b:0),
% 1.44/2.17 'c_SetInterval_Oord__class_OatLeastAtMost' [119, 3] (w:1, o:229, a:1
% 1.44/2.17 , s:1, b:0),
% 1.44/2.17 'c_Finite__Set_Osetsum' [120, 4] (w:1, o:234, a:1, s:1, b:0),
% 1.44/2.17 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [121, 1]
% 1.44/2.17 (w:1, o:123, a:1, s:1, b:0),
% 1.44/2.17 'class_OrderedGroup_Opordered__ab__semigroup__add' [122, 1] (w:1, o:
% 1.44/2.17 124, a:1, s:1, b:0),
% 1.44/2.17 'c_Parity_Oeven__odd__class_Oeven' [125, 2] (w:1, o:216, a:1, s:1, b:
% 1.44/2.17 0),
% 1.44/2.17 'class_RealVector_Ometric__space' [127, 1] (w:1, o:154, a:1, s:1, b:0
% 1.44/2.17 ),
% 1.44/2.17 'class_RealVector_Oreal__normed__algebra__1' [128, 1] (w:1, o:155, a:
% 1.44/2.17 1, s:1, b:0),
% 1.44/2.17 'c_Lim_OLIM' [131, 5] (w:1, o:239, a:1, s:1, b:0),
% 1.44/2.17 'class_Lattices_Oboolean__algebra' [133, 1] (w:1, o:156, a:1, s:1, b:
% 1.44/2.17 0),
% 1.44/2.17 'class_OrderedGroup_Olordered__ab__group__add__abs' [134, 1] (w:1, o:
% 1.44/2.17 125, a:1, s:1, b:0),
% 1.44/2.17 'class_RealVector_Oreal__normed__vector' [135, 1] (w:1, o:157, a:1
% 1.44/2.17 , s:1, b:0),
% 1.44/2.17 'c_Set_Oimage' [136, 4] (w:1, o:235, a:1, s:1, b:0),
% 1.44/2.17 'c_SEQ_OZseq' [139, 2] (w:1, o:217, a:1, s:1, b:0),
% 1.44/2.17 'class_OrderedGroup_Opordered__comm__monoid__add' [142, 1] (w:1, o:
% 1.44/2.17 126, a:1, s:1, b:0),
% 1.44/2.17 'class_Lattices_Obounded__lattice' [143, 1] (w:1, o:158, a:1, s:1, b:
% 1.44/2.17 0),
% 1.44/2.17 'class_Ring__and__Field_Ofield' [146, 1] (w:1, o:159, a:1, s:1, b:0)
% 1.44/2.17 ,
% 1.44/2.17 'c_Int_OPls' [147, 0] (w:1, o:77, a:1, s:1, b:0),
% 1.44/2.17 'class_Divides_Oring__div' [148, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.44/2.17 'class_OrderedGroup_Oab__group__add' [149, 1] (w:1, o:127, a:1, s:1
% 1.44/2.17 , b:0),
% 1.44/2.17 'c_COMBS' [150, 5] (w:1, o:240, a:1, s:1, b:0),
% 1.44/2.17 'class_RealVector_Oreal__normed__field' [151, 1] (w:1, o:160, a:1, s:
% 1.44/2.17 1, b:0),
% 1.44/2.17 'c_Series_Osums' [152, 3] (w:1, o:230, a:1, s:1, b:0),
% 1.44/2.17 'class_Ring__and__Field_Ocomm__semiring__1' [153, 1] (w:1, o:149, a:1
% 1.44/2.17 , s:1, b:0),
% 1.44/2.17 'class_Ring__and__Field_Oabs__if' [156, 1] (w:1, o:161, a:1, s:1, b:0
% 1.44/2.17 ),
% 1.44/2.17 'c_Fun_Oinj__on' [157, 4] (w:1, o:236, a:1, s:1, b:0),
% 1.44/2.17 'class_Ring__and__Field_Opordered__ring' [158, 1] (w:1, o:165, a:1
% 1.44/2.17 , s:1, b:0),
% 1.44/2.17 'c_Int_OBit0' [160, 1] (w:1, o:166, a:1, s:1, b:0),
% 1.44/2.17 'class_Orderings_Obot' [161, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.44/2.17 'c_Int_OBit1' [162, 1] (w:1, o:167, a:1, s:1, b:0),
% 1.44/2.17 'class_Ring__and__Field_Oring' [163, 1] (w:1, o:168, a:1, s:1, b:0),
% 1.44/2.17
% 1.44/2.17 'class_Ring__and__Field_Olordered__ring' [164, 1] (w:1, o:169, a:1
% 1.44/2.17 , s:1, b:0),
% 1.44/2.17 'c_Groebner__Basis_Ogb__semiring' [170, 6] (w:1, o:241, a:1, s:1, b:0
% 1.44/2.17 ),
% 1.44/2.17 'class_Ring__and__Field_Oidom' [175, 1] (w:1, o:170, a:1, s:1, b:0),
% 1.44/2.17
% 1.44/2.17 'class_OrderedGroup_Ocancel__ab__semigroup__add' [176, 1] (w:1, o:129
% 1.44/2.17 , a:1, s:1, b:0),
% 1.44/2.17 'class_OrderedGroup_Ocancel__semigroup__add' [177, 1] (w:1, o:130, a:
% 1.44/2.17 1, s:1, b:0),
% 1.44/2.17 'class_Ring__and__Field_Ocomm__ring__1' [178, 1] (w:1, o:146, a:1, s:
% 1.44/2.17 1, b:0),
% 1.44/2.17 'class_OrderedGroup_Olordered__ab__group__add__meet' [180, 1] (w:1
% 1.44/2.17 , o:131, a:1, s:1, b:0),
% 1.44/2.17 'class_OrderedGroup_Olordered__ab__group__add__join' [181, 1] (w:1
% 1.44/2.17 , o:132, a:1, s:1, b:0),
% 1.44/2.17 'class_Orderings_Opreorder' [182, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.44/2.17 'class_OrderedGroup_Oab__semigroup__add' [183, 1] (w:1, o:134, a:1
% 9.67/10.03 , s:1, b:0),
% 9.67/10.03 'class_RealVector_Oreal__field' [188, 1] (w:1, o:171, a:1, s:1, b:0)
% 9.67/10.03 ,
% 9.67/10.03 'class_OrderedGroup_Oordered__ab__group__add' [190, 1] (w:1, o:117
% 9.67/10.03 , a:1, s:1, b:0),
% 9.67/10.03 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [195, 1]
% 9.67/10.03 (w:1, o:135, a:1, s:1, b:0),
% 9.67/10.03 'c_Series_Osuminf' [197, 2] (w:1, o:218, a:1, s:1, b:0),
% 9.67/10.03 'c_Complex_Oii' [199, 0] (w:1, o:83, a:1, s:1, b:0),
% 9.67/10.03 'tc_Complex_Ocomplex' [200, 0] (w:1, o:84, a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Ozero__neq__one' [201, 1] (w:1, o:172, a:1
% 9.67/10.03 , s:1, b:0),
% 9.67/10.03 'class_OrderedGroup_Omonoid__add' [202, 1] (w:1, o:136, a:1, s:1, b:0
% 9.67/10.03 ),
% 9.67/10.03 'class_Ring__and__Field_Oordered__semiring__strict' [203, 1] (w:1, o:
% 9.67/10.03 162, a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Oordered__ring__strict' [204, 1] (w:1, o:97
% 9.67/10.03 , a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Opordered__ring__abs' [205, 1] (w:1, o:173
% 9.67/10.03 , a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Oordered__semiring' [206, 1] (w:1, o:163, a:1
% 9.67/10.03 , s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Ocomm__semiring' [207, 1] (w:1, o:150, a:1
% 9.67/10.03 , s:1, b:0),
% 9.67/10.03 'class_OrderedGroup_Omonoid__mult' [208, 1] (w:1, o:137, a:1, s:1, b:
% 9.67/10.03 0),
% 9.67/10.03 'class_OrderedGroup_Ocomm__monoid__mult' [209, 1] (w:1, o:138, a:1
% 9.67/10.03 , s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Osemiring' [210, 1] (w:1, o:177, a:1, s:1, b:
% 9.67/10.03 0),
% 9.67/10.03 'class_Ring__and__Field_Oordered__comm__semiring__strict' [212, 1]
% 9.67/10.03 (w:1, o:164, a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Omult__mono1' [213, 1] (w:1, o:178, a:1, s:1
% 9.67/10.03 , b:0),
% 9.67/10.03 'class_Ring__and__Field_Omult__mono' [214, 1] (w:1, o:179, a:1, s:1
% 9.67/10.03 , b:0),
% 9.67/10.03 'class_Ring__and__Field_Opordered__cancel__semiring' [215, 1] (w:1
% 9.67/10.03 , o:180, a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Opordered__semiring' [216, 1] (w:1, o:181, a:
% 9.67/10.03 1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Oring__1' [217, 1] (w:1, o:174, a:1, s:1, b:0
% 9.67/10.03 ),
% 9.67/10.03 'c_Ring__and__Field_Ocomm__ring__1' [220, 7] (w:1, o:242, a:1, s:1
% 9.67/10.03 , b:0),
% 9.67/10.03 'class_Ring__and__Field_Ocomm__ring' [221, 1] (w:1, o:147, a:1, s:1
% 9.67/10.03 , b:0),
% 9.67/10.03 'class_Ring__and__Field_Osemiring__0' [222, 1] (w:1, o:182, a:1, s:1
% 9.67/10.03 , b:0),
% 9.67/10.03 'c_FFT__Mirabelle_Oroot' [223, 1] (w:1, o:183, a:1, s:1, b:0),
% 9.67/10.03 'c_Parity_Osko__Parity__Xodd__Suc__mult__two__ex__1__1' [224, 1] (w:1
% 9.67/10.03 , o:184, a:1, s:1, b:0),
% 9.67/10.03 'v_m' [225, 0] (w:1, o:86, a:1, s:1, b:0),
% 9.67/10.03 'v_i' [226, 0] (w:1, o:87, a:1, s:1, b:0),
% 9.67/10.03 'v_a' [227, 0] (w:1, o:88, a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Osemiring__1' [228, 1] (w:1, o:185, a:1, s:1
% 9.67/10.03 , b:0),
% 9.67/10.03 'c_FFT__Mirabelle_OIDFT' [229, 3] (w:1, o:231, a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Ocomm__semiring__0' [230, 1] (w:1, o:148, a:1
% 9.67/10.03 , s:1, b:0),
% 9.67/10.03 'c_FFT__Mirabelle_ODFT' [231, 3] (w:1, o:232, a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Oring__no__zero__divisors' [233, 1] (w:1, o:
% 9.67/10.03 175, a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Omult__zero' [234, 1] (w:1, o:186, a:1, s:1
% 9.67/10.03 , b:0),
% 9.67/10.03 'class_Ring__and__Field_Ono__zero__divisors' [235, 1] (w:1, o:96, a:1
% 9.67/10.03 , s:1, b:0),
% 9.67/10.03 'class_OrderedGroup_Oab__semigroup__mult' [237, 1] (w:1, o:139, a:1
% 9.67/10.03 , s:1, b:0),
% 9.67/10.03 'class_OrderedGroup_Oab__semigroup__idem__mult' [238, 1] (w:1, o:140
% 9.67/10.03 , a:1, s:1, b:0),
% 9.67/10.03 'class_Ring__and__Field_Oring__1__no__zero__divisors' [239, 1] (w:1
% 9.67/10.03 , o:176, a:1, s:1, b:0),
% 9.67/10.03 'class_Int_Oring__char__0' [240, 1] (w:1, o:187, a:1, s:1, b:0),
% 9.67/10.03 'c_fequal' [243, 3] (w:1, o:233, a:1, s:1, b:0).
% 9.67/10.03
% 9.67/10.03
% 9.67/10.03 Starting Search:
% 9.67/10.03
% 9.67/10.03 Resimplifying inuse:
% 9.67/10.03 Done
% 9.67/10.03
% 9.67/10.03
% 9.67/10.03 Intermediate Status:
% 9.67/10.03 Generated: 2945
% 9.67/10.03 Kept: 2012
% 9.67/10.03 Inuse: 84
% 9.67/10.03 Deleted: 2
% 9.67/10.03 Deletedinuse: 0
% 9.67/10.03
% 9.67/10.03 Resimplifying inuse:
% 9.67/10.03 Done
% 9.67/10.03
% 9.67/10.03 Resimplifying inuse:
% 9.67/10.03 Done
% 9.67/10.03
% 9.67/10.03
% 9.67/10.03 Intermediate Status:
% 9.67/10.03 Generated: 9715
% 9.67/10.03 Kept: 4013
% 9.67/10.03 Inuse: 318
% 9.67/10.03 Deleted: 10
% 9.67/10.03 Deletedinuse: 0
% 9.67/10.03
% 9.67/10.03 Resimplifying inuse:
% 9.67/10.03 Done
% 9.67/10.03
% 9.67/10.03
% 9.67/10.03 Intermediate Status:
% 9.67/10.03 Generated: 18096
% 9.67/10.03 Kept: 6071
% 9.67/10.03 Inuse: 336
% 9.67/10.03 Deleted: 10
% 9.67/10.03 Deletedinuse: 0
% 9.67/10.03
% 9.67/10.03 Resimplifying inuse:
% 9.67/10.03 Done
% 9.67/10.03
% 9.67/10.03 Resimplifying inuse:
% 9.67/10.03 Done
% 9.67/10.03
% 9.67/10.03
% 9.67/10.03 Intermediate Status:
% 9.67/10.03 Generated: 27057
% 9.67/10.03 Kept: 8238
% 24.34/24.71 Inuse: 356
% 24.34/24.71 Deleted: 10
% 24.34/24.71 Deletedinuse: 0
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71
% 24.34/24.71 Intermediate Status:
% 24.34/24.71 Generated: 35386
% 24.34/24.71 Kept: 10299
% 24.34/24.71 Inuse: 426
% 24.34/24.71 Deleted: 10
% 24.34/24.71 Deletedinuse: 0
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71
% 24.34/24.71 Intermediate Status:
% 24.34/24.71 Generated: 40621
% 24.34/24.71 Kept: 12342
% 24.34/24.71 Inuse: 461
% 24.34/24.71 Deleted: 10
% 24.34/24.71 Deletedinuse: 0
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71
% 24.34/24.71 Intermediate Status:
% 24.34/24.71 Generated: 47420
% 24.34/24.71 Kept: 14918
% 24.34/24.71 Inuse: 497
% 24.34/24.71 Deleted: 10
% 24.34/24.71 Deletedinuse: 0
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71
% 24.34/24.71 Intermediate Status:
% 24.34/24.71 Generated: 53924
% 24.34/24.71 Kept: 16995
% 24.34/24.71 Inuse: 546
% 24.34/24.71 Deleted: 10
% 24.34/24.71 Deletedinuse: 0
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71
% 24.34/24.71 Intermediate Status:
% 24.34/24.71 Generated: 61079
% 24.34/24.71 Kept: 19069
% 24.34/24.71 Inuse: 616
% 24.34/24.71 Deleted: 10
% 24.34/24.71 Deletedinuse: 0
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71 Resimplifying clauses:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71 Resimplifying inuse:
% 24.34/24.71 Done
% 24.34/24.71
% 24.34/24.71
% 24.34/24.71 Intermediate Status:
% 24.34/24.71 Generated: 68384
% 24.34/24.71 Kept: 21997
% 24.34/24.71 Inuse: 651
% 24.34/24.72 Deleted: 292
% 24.34/24.72 Deletedinuse: 2
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 72307
% 24.34/24.72 Kept: 24190
% 24.34/24.72 Inuse: 656
% 24.34/24.72 Deleted: 292
% 24.34/24.72 Deletedinuse: 2
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 76228
% 24.34/24.72 Kept: 26429
% 24.34/24.72 Inuse: 661
% 24.34/24.72 Deleted: 292
% 24.34/24.72 Deletedinuse: 2
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 81097
% 24.34/24.72 Kept: 28598
% 24.34/24.72 Inuse: 671
% 24.34/24.72 Deleted: 292
% 24.34/24.72 Deletedinuse: 2
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 89718
% 24.34/24.72 Kept: 31195
% 24.34/24.72 Inuse: 681
% 24.34/24.72 Deleted: 292
% 24.34/24.72 Deletedinuse: 2
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 96827
% 24.34/24.72 Kept: 33532
% 24.34/24.72 Inuse: 716
% 24.34/24.72 Deleted: 292
% 24.34/24.72 Deletedinuse: 2
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 103519
% 24.34/24.72 Kept: 35873
% 24.34/24.72 Inuse: 746
% 24.34/24.72 Deleted: 293
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 110356
% 24.34/24.72 Kept: 38069
% 24.34/24.72 Inuse: 776
% 24.34/24.72 Deleted: 293
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 118974
% 24.34/24.72 Kept: 40169
% 24.34/24.72 Inuse: 826
% 24.34/24.72 Deleted: 293
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying clauses:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 125440
% 24.34/24.72 Kept: 42175
% 24.34/24.72 Inuse: 873
% 24.34/24.72 Deleted: 799
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 133508
% 24.34/24.72 Kept: 44198
% 24.34/24.72 Inuse: 899
% 24.34/24.72 Deleted: 799
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 139170
% 24.34/24.72 Kept: 46202
% 24.34/24.72 Inuse: 924
% 24.34/24.72 Deleted: 799
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 148429
% 24.34/24.72 Kept: 49448
% 24.34/24.72 Inuse: 946
% 24.34/24.72 Deleted: 799
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 160191
% 24.34/24.72 Kept: 52500
% 24.34/24.72 Inuse: 971
% 24.34/24.72 Deleted: 799
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 169962
% 24.34/24.72 Kept: 55029
% 24.34/24.72 Inuse: 991
% 24.34/24.72 Deleted: 799
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 178350
% 24.34/24.72 Kept: 57044
% 24.34/24.72 Inuse: 1002
% 24.34/24.72 Deleted: 799
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 185187
% 24.34/24.72 Kept: 59046
% 24.34/24.72 Inuse: 1031
% 24.34/24.72 Deleted: 799
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying clauses:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 192360
% 24.34/24.72 Kept: 61066
% 24.34/24.72 Inuse: 1062
% 24.34/24.72 Deleted: 958
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 24.34/24.72 Generated: 201736
% 24.34/24.72 Kept: 64412
% 24.34/24.72 Inuse: 1089
% 24.34/24.72 Deleted: 959
% 24.34/24.72 Deletedinuse: 3
% 24.34/24.72
% 24.34/24.72 Resimplifying inuse:
% 24.34/24.72 Done
% 24.34/24.72
% 24.34/24.72
% 24.34/24.72 Intermediate Status:
% 57.51/57.91 Generated: 210378
% 57.51/57.91 Kept: 66795
% 57.51/57.91 Inuse: 1090
% 57.51/57.91 Deleted: 959
% 57.51/57.91 Deletedinuse: 3
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 216591
% 57.51/57.91 Kept: 69313
% 57.51/57.91 Inuse: 1105
% 57.51/57.91 Deleted: 959
% 57.51/57.91 Deletedinuse: 3
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 221482
% 57.51/57.91 Kept: 71371
% 57.51/57.91 Inuse: 1115
% 57.51/57.91 Deleted: 959
% 57.51/57.91 Deletedinuse: 3
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 228888
% 57.51/57.91 Kept: 73591
% 57.51/57.91 Inuse: 1140
% 57.51/57.91 Deleted: 959
% 57.51/57.91 Deletedinuse: 3
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 235652
% 57.51/57.91 Kept: 75648
% 57.51/57.91 Inuse: 1165
% 57.51/57.91 Deleted: 963
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 242388
% 57.51/57.91 Kept: 77670
% 57.51/57.91 Inuse: 1189
% 57.51/57.91 Deleted: 963
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 249019
% 57.51/57.91 Kept: 79751
% 57.51/57.91 Inuse: 1210
% 57.51/57.91 Deleted: 963
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying clauses:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 255078
% 57.51/57.91 Kept: 81770
% 57.51/57.91 Inuse: 1226
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 261229
% 57.51/57.91 Kept: 83830
% 57.51/57.91 Inuse: 1235
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 267011
% 57.51/57.91 Kept: 85842
% 57.51/57.91 Inuse: 1248
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 272824
% 57.51/57.91 Kept: 87842
% 57.51/57.91 Inuse: 1270
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 279624
% 57.51/57.91 Kept: 89851
% 57.51/57.91 Inuse: 1293
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 287575
% 57.51/57.91 Kept: 91941
% 57.51/57.91 Inuse: 1320
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 296013
% 57.51/57.91 Kept: 93941
% 57.51/57.91 Inuse: 1352
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 302696
% 57.51/57.91 Kept: 95955
% 57.51/57.91 Inuse: 1370
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 307798
% 57.51/57.91 Kept: 98372
% 57.51/57.91 Inuse: 1380
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 313368
% 57.51/57.91 Kept: 100478
% 57.51/57.91 Inuse: 1395
% 57.51/57.91 Deleted: 1341
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying clauses:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 320329
% 57.51/57.91 Kept: 102569
% 57.51/57.91 Inuse: 1415
% 57.51/57.91 Deleted: 1427
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 327423
% 57.51/57.91 Kept: 104572
% 57.51/57.91 Inuse: 1430
% 57.51/57.91 Deleted: 1427
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 335012
% 57.51/57.91 Kept: 106710
% 57.51/57.91 Inuse: 1445
% 57.51/57.91 Deleted: 1427
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 342522
% 57.51/57.91 Kept: 108712
% 57.51/57.91 Inuse: 1461
% 57.51/57.91 Deleted: 1427
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 349319
% 57.51/57.91 Kept: 111051
% 57.51/57.91 Inuse: 1475
% 57.51/57.91 Deleted: 1427
% 57.51/57.91 Deletedinuse: 7
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 357885
% 57.51/57.91 Kept: 113209
% 57.51/57.91 Inuse: 1500
% 57.51/57.91 Deleted: 1428
% 57.51/57.91 Deletedinuse: 8
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 371575
% 57.51/57.91 Kept: 115376
% 57.51/57.91 Inuse: 1510
% 57.51/57.91 Deleted: 1428
% 57.51/57.91 Deletedinuse: 8
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91 Resimplifying inuse:
% 57.51/57.91 Done
% 57.51/57.91
% 57.51/57.91
% 57.51/57.91 Intermediate Status:
% 57.51/57.91 Generated: 396678
% 57.51/57.91 Kept: 119076
% 111.37/111.88 Inuse: 1520
% 111.37/111.88 Deleted: 1428
% 111.37/111.88 Deletedinuse: 8
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying clauses:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 422542
% 111.37/111.88 Kept: 122768
% 111.37/111.88 Inuse: 1530
% 111.37/111.88 Deleted: 2029
% 111.37/111.88 Deletedinuse: 8
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 437250
% 111.37/111.88 Kept: 125085
% 111.37/111.88 Inuse: 1540
% 111.37/111.88 Deleted: 2029
% 111.37/111.88 Deletedinuse: 8
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 447074
% 111.37/111.88 Kept: 127253
% 111.37/111.88 Inuse: 1570
% 111.37/111.88 Deleted: 2029
% 111.37/111.88 Deletedinuse: 8
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 462007
% 111.37/111.88 Kept: 131441
% 111.37/111.88 Inuse: 1585
% 111.37/111.88 Deleted: 2029
% 111.37/111.88 Deletedinuse: 8
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 469736
% 111.37/111.88 Kept: 133639
% 111.37/111.88 Inuse: 1600
% 111.37/111.88 Deleted: 2029
% 111.37/111.88 Deletedinuse: 8
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 478760
% 111.37/111.88 Kept: 135839
% 111.37/111.88 Inuse: 1620
% 111.37/111.88 Deleted: 2029
% 111.37/111.88 Deletedinuse: 8
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 495741
% 111.37/111.88 Kept: 139887
% 111.37/111.88 Inuse: 1650
% 111.37/111.88 Deleted: 2030
% 111.37/111.88 Deletedinuse: 9
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying clauses:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 505264
% 111.37/111.88 Kept: 141907
% 111.37/111.88 Inuse: 1673
% 111.37/111.88 Deleted: 2123
% 111.37/111.88 Deletedinuse: 9
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 514622
% 111.37/111.88 Kept: 143974
% 111.37/111.88 Inuse: 1690
% 111.37/111.88 Deleted: 2123
% 111.37/111.88 Deletedinuse: 9
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 529418
% 111.37/111.88 Kept: 147172
% 111.37/111.88 Inuse: 1701
% 111.37/111.88 Deleted: 2123
% 111.37/111.88 Deletedinuse: 9
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 535828
% 111.37/111.88 Kept: 149206
% 111.37/111.88 Inuse: 1719
% 111.37/111.88 Deleted: 2124
% 111.37/111.88 Deletedinuse: 9
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 543119
% 111.37/111.88 Kept: 151230
% 111.37/111.88 Inuse: 1743
% 111.37/111.88 Deleted: 2124
% 111.37/111.88 Deletedinuse: 9
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 551458
% 111.37/111.88 Kept: 153272
% 111.37/111.88 Inuse: 1768
% 111.37/111.88 Deleted: 2124
% 111.37/111.88 Deletedinuse: 9
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 557898
% 111.37/111.88 Kept: 155307
% 111.37/111.88 Inuse: 1785
% 111.37/111.88 Deleted: 2124
% 111.37/111.88 Deletedinuse: 9
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 566924
% 111.37/111.88 Kept: 157513
% 111.37/111.88 Inuse: 1814
% 111.37/111.88 Deleted: 2124
% 111.37/111.88 Deletedinuse: 9
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 577247
% 111.37/111.88 Kept: 159544
% 111.37/111.88 Inuse: 1836
% 111.37/111.88 Deleted: 2126
% 111.37/111.88 Deletedinuse: 11
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 587207
% 111.37/111.88 Kept: 161556
% 111.37/111.88 Inuse: 1854
% 111.37/111.88 Deleted: 2126
% 111.37/111.88 Deletedinuse: 11
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying clauses:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 594558
% 111.37/111.88 Kept: 163594
% 111.37/111.88 Inuse: 1876
% 111.37/111.88 Deleted: 3073
% 111.37/111.88 Deletedinuse: 12
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 608230
% 111.37/111.88 Kept: 167317
% 111.37/111.88 Inuse: 1899
% 111.37/111.88 Deleted: 3074
% 111.37/111.88 Deletedinuse: 13
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 616995
% 111.37/111.88 Kept: 169679
% 111.37/111.88 Inuse: 1919
% 111.37/111.88 Deleted: 3074
% 111.37/111.88 Deletedinuse: 13
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 625419
% 111.37/111.88 Kept: 171717
% 111.37/111.88 Inuse: 1936
% 111.37/111.88 Deleted: 3074
% 111.37/111.88 Deletedinuse: 13
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 650491
% 111.37/111.88 Kept: 175183
% 111.37/111.88 Inuse: 1949
% 111.37/111.88 Deleted: 3074
% 111.37/111.88 Deletedinuse: 13
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 664316
% 111.37/111.88 Kept: 177253
% 111.37/111.88 Inuse: 1989
% 111.37/111.88 Deleted: 3074
% 111.37/111.88 Deletedinuse: 13
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88 Resimplifying inuse:
% 111.37/111.88 Done
% 111.37/111.88
% 111.37/111.88
% 111.37/111.88 Intermediate Status:
% 111.37/111.88 Generated: 675388
% 111.37/111.88 Kept: 179289
% 111.37/111.88 Inuse: 2019
% 111.37/111.88 Deleted: 3074
% 214.09/214.60 Deletedinuse: 13
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 686527
% 214.09/214.60 Kept: 182085
% 214.09/214.60 Inuse: 2024
% 214.09/214.60 Deleted: 3074
% 214.09/214.60 Deletedinuse: 13
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying clauses:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 697318
% 214.09/214.60 Kept: 184542
% 214.09/214.60 Inuse: 2044
% 214.09/214.60 Deleted: 3423
% 214.09/214.60 Deletedinuse: 13
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 707884
% 214.09/214.60 Kept: 186661
% 214.09/214.60 Inuse: 2069
% 214.09/214.60 Deleted: 3423
% 214.09/214.60 Deletedinuse: 13
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 723297
% 214.09/214.60 Kept: 188672
% 214.09/214.60 Inuse: 2095
% 214.09/214.60 Deleted: 3423
% 214.09/214.60 Deletedinuse: 13
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 732253
% 214.09/214.60 Kept: 191007
% 214.09/214.60 Inuse: 2099
% 214.09/214.60 Deleted: 3423
% 214.09/214.60 Deletedinuse: 13
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 742244
% 214.09/214.60 Kept: 193218
% 214.09/214.60 Inuse: 2124
% 214.09/214.60 Deleted: 3423
% 214.09/214.60 Deletedinuse: 13
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 757197
% 214.09/214.60 Kept: 197344
% 214.09/214.60 Inuse: 2139
% 214.09/214.60 Deleted: 3423
% 214.09/214.60 Deletedinuse: 13
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 766675
% 214.09/214.60 Kept: 199519
% 214.09/214.60 Inuse: 2159
% 214.09/214.60 Deleted: 3423
% 214.09/214.60 Deletedinuse: 13
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 774218
% 214.09/214.60 Kept: 202630
% 214.09/214.60 Inuse: 2169
% 214.09/214.60 Deleted: 3424
% 214.09/214.60 Deletedinuse: 14
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying clauses:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 785693
% 214.09/214.60 Kept: 206105
% 214.09/214.60 Inuse: 2174
% 214.09/214.60 Deleted: 3586
% 214.09/214.60 Deletedinuse: 14
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 794819
% 214.09/214.60 Kept: 208120
% 214.09/214.60 Inuse: 2195
% 214.09/214.60 Deleted: 3586
% 214.09/214.60 Deletedinuse: 14
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 805757
% 214.09/214.60 Kept: 210306
% 214.09/214.60 Inuse: 2224
% 214.09/214.60 Deleted: 3586
% 214.09/214.60 Deletedinuse: 14
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 815631
% 214.09/214.60 Kept: 212552
% 214.09/214.60 Inuse: 2249
% 214.09/214.60 Deleted: 3586
% 214.09/214.60 Deletedinuse: 14
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 835707
% 214.09/214.60 Kept: 217081
% 214.09/214.60 Inuse: 2264
% 214.09/214.60 Deleted: 3586
% 214.09/214.60 Deletedinuse: 14
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 845897
% 214.09/214.60 Kept: 219708
% 214.09/214.60 Inuse: 2269
% 214.09/214.60 Deleted: 3586
% 214.09/214.60 Deletedinuse: 14
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 857335
% 214.09/214.60 Kept: 221776
% 214.09/214.60 Inuse: 2294
% 214.09/214.60 Deleted: 3586
% 214.09/214.60 Deletedinuse: 14
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying clauses:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 875959
% 214.09/214.60 Kept: 224161
% 214.09/214.60 Inuse: 2314
% 214.09/214.60 Deleted: 3722
% 214.09/214.60 Deletedinuse: 15
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 886863
% 214.09/214.60 Kept: 226207
% 214.09/214.60 Inuse: 2330
% 214.09/214.60 Deleted: 3726
% 214.09/214.60 Deletedinuse: 15
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 897730
% 214.09/214.60 Kept: 228588
% 214.09/214.60 Inuse: 2350
% 214.09/214.60 Deleted: 3726
% 214.09/214.60 Deletedinuse: 15
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 910780
% 214.09/214.60 Kept: 231339
% 214.09/214.60 Inuse: 2375
% 214.09/214.60 Deleted: 3727
% 214.09/214.60 Deletedinuse: 16
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 917621
% 214.09/214.60 Kept: 233386
% 214.09/214.60 Inuse: 2390
% 214.09/214.60 Deleted: 3727
% 214.09/214.60 Deletedinuse: 16
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 926211
% 214.09/214.60 Kept: 236511
% 214.09/214.60 Inuse: 2400
% 214.09/214.60 Deleted: 3727
% 214.09/214.60 Deletedinuse: 16
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 933798
% 214.09/214.60 Kept: 239635
% 214.09/214.60 Inuse: 2410
% 214.09/214.60 Deleted: 3727
% 214.09/214.60 Deletedinuse: 16
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60 Resimplifying inuse:
% 214.09/214.60 Done
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 Generated: 943656
% 214.09/214.60 Kept: 241706
% 214.09/214.60 Inuse: 2425
% 214.09/214.60 Deleted: 3727
% 214.09/214.60 Deletedinuse: 16
% 214.09/214.60
% 214.09/214.60
% 214.09/214.60 Intermediate Status:
% 214.09/214.60 GeneratCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------