TSTP Solution File: SWV666-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV666-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 16:27:37 EDT 2022
% Result : Timeout 300.06s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV666-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 11:23:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.23/1.60 *** allocated 10000 integers for termspace/termends
% 1.23/1.60 *** allocated 10000 integers for clauses
% 1.23/1.60 *** allocated 10000 integers for justifications
% 1.23/1.60 *** allocated 15000 integers for termspace/termends
% 1.23/1.60 *** allocated 22500 integers for termspace/termends
% 1.23/1.60 *** allocated 33750 integers for termspace/termends
% 1.23/1.60 *** allocated 50625 integers for termspace/termends
% 1.23/1.60 Bliksem 1.12
% 1.23/1.60
% 1.23/1.60
% 1.23/1.60 Automatic Strategy Selection
% 1.23/1.60
% 1.23/1.60 Clauses:
% 1.23/1.60 [
% 1.23/1.60 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.23/1.60 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.60 'tc_nat' ) ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.60 'tc_nat' ) ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.23/1.60 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.60 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.23/1.60 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.23/1.60 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.23/1.60 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.60 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.23/1.60 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.23/1.60 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.60 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.60 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.23/1.60 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.23/1.60 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.23/1.60 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.60 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.23/1.60 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.23/1.60 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.23/1.60 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.23/1.60 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.23/1.60 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, X, X ), Z, hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.60 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), U, X
% 1.23/1.60 ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.23/1.60 Y ), T, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.23/1.60 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 X ), Y ), Z ) ), X ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.23/1.60 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.23/1.60 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.23/1.60 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.23/1.60 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.23/1.60 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.23/1.60 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.23/1.60 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.23/1.60 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( X, Y
% 1.23/1.60 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.60 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.23/1.60 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.23/1.60 ), Y ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.23/1.60 ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.60 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.23/1.60 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.23/1.60 T, X ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.23/1.60 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.23/1.60 Z, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y ), T, Y, Y, Y ), Y, X, Y ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~(
% 1.23/1.60 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.23/1.60 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.23/1.60 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.60 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.23/1.60 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.23/1.60 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.23/1.60 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.23/1.60 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.23/1.60 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.23/1.60 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.23/1.60 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.60 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.23/1.60 ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.23/1.60 ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.23/1.60 ), =( Z, Y ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.60 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.60 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'(
% 1.23/1.60 X ), T ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.60 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBC'( 'c_COMBB'(
% 1.23/1.60 'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ),
% 1.23/1.60 'tc_nat' ), Z, 'tc_nat', 'tc_nat', X ), hAPP( hAPP(
% 1.23/1.60 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.23/1.60 , T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X
% 1.23/1.60 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.60 ), Y ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.23/1.60 ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y,
% 1.23/1.60 'tc_nat' ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.60 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.23/1.60 ~( 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X )
% 1.23/1.60 , Z, X, 'tc_fun'( X, X ), Y ), U, Y, X, X ), T,
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.60 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.23/1.60 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.23/1.60 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.60 'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.60 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.23/1.60 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.23/1.60 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.23/1.60 , X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.60 , X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.23/1.60 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.23/1.60 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.23/1.60 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.23/1.60 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.23/1.60 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.23/1.60 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.23/1.60 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.23/1.60 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.60 , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.23/1.60 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.23/1.60 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.60 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.23/1.60 Z, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.60 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Z, 'tc_nat' ) ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 'tc_nat' ) ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.23/1.60 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.23/1.60 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.23/1.60 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.23/1.60 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.23/1.60 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.23/1.60 , V0, U, V1 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.23/1.60 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.23/1.60 , V0, U, V1 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.23/1.60 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.23/1.60 X, T, U, Y, W, V0 ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.60 , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.23/1.60 , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.60 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.23/1.60 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 X ), T ), Y ) ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.60 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.23/1.60 , Y, 'tc_nat' ) ) ],
% 1.23/1.60 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T, X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.60 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.23/1.60 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.60 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.23/1.60 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.60 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.60 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.23/1.60 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.60 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ),
% 1.23/1.60 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Odiv'( hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.23/1.60 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.60 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.23/1.60 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.60 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.60 ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.23/1.60 ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.60 X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.60 X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.23/1.60 , Y ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.60 X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.60 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.60 X ) ) ), =( Y, Z ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.60 X ) ) ), =( Y, Z ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.60 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.60 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.23/1.60 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.23/1.60 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.23/1.60 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.60 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.23/1.60 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.23/1.60 ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.60 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.23/1.60 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.60 T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.60 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.60 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.60 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.23/1.60 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.60 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.60 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.60 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.23/1.60 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.60 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.23/1.60 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.60 T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.60 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.60 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.23/1.60 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.60 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.23/1.60 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.60 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.60 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.60 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.60 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.60 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.60 'tc_nat' ) ), Y ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.60 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.23/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.23/1.60 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.23/1.60 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 1.23/1.60 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.23/1.60 , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.60 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.60 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.60 ), X ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.60 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.23/1.60 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.60 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.23/1.60 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.23/1.60 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.60 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.23/1.60 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.60 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.23/1.60 ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.23/1.60 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.23/1.60 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.60 , Z ) ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.23/1.60 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.60 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.60 ), Y ), T ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.60 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z,
% 1.23/1.60 T, X ) ), T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.60 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.23/1.60 ) ), Z ), T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X )
% 1.23/1.60 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), Y ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.60 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 'c_Divides_Odiv__class_Omod'(
% 1.23/1.60 Z, Y, X ) ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.23/1.60 ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.60 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), Y ), 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ), Z ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Y ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.23/1.60 ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.23/1.60 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.23/1.60 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), Z ), U ) ), W ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.23/1.60 ), W, X ) ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.23/1.60 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.60 X ), Z ), T ) ), W ), X ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.60 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.23/1.60 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.23/1.60 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 1.23/1.60 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.60 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.23/1.60 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.60 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.60 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.23/1.60 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.60 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.60 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.60 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.23/1.60 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.60 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.23/1.60 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.23/1.60 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.60 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.60 T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.23/1.60 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.23/1.60 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Y ), T ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Y ), Z ), T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.60 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.23/1.60 X, T, U, Z, W, V0 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.23/1.60 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.23/1.60 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.23/1.60 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.23/1.60 T, X, U, Y, W, V0 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.23/1.60 T, X, U, Z, W, V0 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.23/1.60 T, X, U, W, Y, V0 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.23/1.60 T, X, U, W, Z, V0 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.23/1.60 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.23/1.60 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.23/1.60 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.23/1.60 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.23/1.60 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.23/1.60 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.23/1.60 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.23/1.60 , V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.23/1.60 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.23/1.60 W, V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.23/1.60 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.23/1.60 , V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.23/1.60 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.23/1.60 W, V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.23/1.60 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.23/1.60 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.23/1.60 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.23/1.60 W, V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.23/1.60 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.23/1.60 W, V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.23/1.60 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.23/1.60 , V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.23/1.60 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.23/1.60 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.23/1.60 , V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.23/1.60 X, T, U, Y, W, V0 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.23/1.60 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.23/1.60 , V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.23/1.60 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.23/1.60 T, X, U, Y, W, V0 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.23/1.60 T, X, U, W, Y, V0 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.23/1.60 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.23/1.60 , V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.23/1.60 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.23/1.60 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.23/1.60 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.23/1.60 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.23/1.60 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.23/1.60 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.23/1.60 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.23/1.60 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.23/1.60 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.23/1.60 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ), T, X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.23/1.60 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.23/1.60 ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.23/1.60 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.60 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.23/1.60 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.23/1.60 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.60 X ) ) ],
% 1.23/1.60 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X
% 1.23/1.60 , Y, 'tc_nat' ) ), Y ) ) ) ],
% 1.23/1.60 [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.23/1.60 , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.23/1.60 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.60 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), X, 'tc_nat' ),
% 1.23/1.60 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.23/1.60 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 1.23/1.60 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.23/1.60 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ) ), Y ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.23/1.60 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, X, 'tc_nat' ) ) ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.23/1.60 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.23/1.60 , X ) ) ],
% 1.23/1.60 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.23/1.60 , Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.23/1.60 , Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.60 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.23/1.60 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 1.23/1.60 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.23/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.60 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.23/1.60 , 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X )
% 1.23/1.60 , Z, X, 'tc_fun'( 'tc_nat', X ), Y ), T, Y, 'tc_nat', X ), U, hAPP( hAPP(
% 1.23/1.60 'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 1.23/1.60 , U, W, Y, X ) ) ],
% 1.23/1.60 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.23/1.60 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.23/1.60 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.23/1.60 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), W ), T ), Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.23/1.60 ,
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.60 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.60 X ), X ) ) ],
% 1.23/1.60 [ =( X, hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.60 'tc_nat' ) ) ],
% 1.23/1.60 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.23/1.60 , X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.60 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.23/1.60 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.23/1.60 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), Y,
% 1.23/1.60 'tc_nat' ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.23/1.60 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.23/1.60 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.23/1.60 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.23/1.60 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.60 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.23/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.60 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.60 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.23/1.60 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.23/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.23/1.60 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.23/1.60 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.23/1.60 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.23/1.60 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.60 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.60 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat'
% 1.23/1.61 ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.23/1.61 , X ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.61 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.23/1.61 , X ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.23/1.61 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.23/1.61 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.23/1.61 ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.23/1.61 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.23/1.61 ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.23/1.61 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.23/1.61 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.23/1.61 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.61 X ), Y ), Z ) ), T, X ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.61 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.23/1.61 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.23/1.61 'c_lessequals'( Z, Y, X ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.23/1.61 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.23/1.61 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.23/1.61 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.61 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), Y ) ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.61 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.61 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.61 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.23/1.61 'c_lessequals'( Z, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.61 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.23/1.61 'c_lessequals'( Z, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.61 X ), Y ), Z ) ), Z ), Y ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.23/1.61 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.23/1.61 , X ) ), T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.23/1.61 ), Z ), T, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.23/1.61 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 X ), Y ), Z ) ), Z ), Y ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.61 , Y ) ), Z ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.23/1.61 Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.23/1.61 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.61 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.61 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.23/1.61 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.61 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.61 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.23/1.61 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.61 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.61 X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.23/1.61 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.61 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.23/1.61 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.61 , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.23/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.23/1.61 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.61 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.23/1.61 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.23/1.61 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.23/1.61 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.23/1.61 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.23/1.61 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), W ), V0
% 1.23/1.61 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.23/1.61 , Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.23/1.61 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.23/1.61 T, X ) ) ],
% 1.23/1.61 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.23/1.61 , Y ) ) ],
% 1.23/1.61 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 'tc_nat' ) ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.23/1.61 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.23/1.61 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.61 [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL(
% 1.23/1.61 hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.23/1.61 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.23/1.61 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.23/1.61 ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.23/1.61 ), 'tc_nat' ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.23/1.61 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.23/1.61 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.23/1.61 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.23/1.61 , X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.23/1.61 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.23/1.61 Y ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), W
% 1.23/1.61 ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.23/1.61 'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'(
% 1.23/1.61 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.23/1.61 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.23/1.61 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.23/1.61 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.61 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.23/1.61 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.61 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.23/1.61 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.23/1.61 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP(
% 1.23/1.61 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.61 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.23/1.61 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.23/1.61 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.23/1.61 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'(
% 1.23/1.61 X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.23/1.61 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 1.23/1.61 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.23/1.61 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.23/1.61 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.23/1.61 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.61 'tc_nat' ), X ), Y ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.23/1.61 , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.23/1.61 ), T ), U ) ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.23/1.61 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.23/1.61 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.23/1.61 ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.61 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.61 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.23/1.61 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.23/1.61 , Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.23/1.61 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), T
% 1.23/1.61 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.23/1.61 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), T, X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.23/1.61 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.23/1.61 Y, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ) ), Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.23/1.61 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.23/1.61 , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 'c_Suc',
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ) ), 'tc_nat' ) ],
% 1.23/1.61 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.23/1.61 , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.23/1.61 ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ) ), T ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.23/1.61 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, X ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.23/1.61 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.61 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.61 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.61 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.61 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.61 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.23/1.61 , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.23/1.61 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.23/1.61 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.23/1.61 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.61 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.61 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Z ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Z ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.23/1.61 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.23/1.61 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.23/1.61 ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.23/1.61 ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.61 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.61 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.61 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.23/1.61 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.61 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.61 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.61 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.23/1.61 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.23/1.61 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.23/1.61 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.23/1.61 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.23/1.61 V0, V1 ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.23/1.61 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.23/1.61 V0, V1 ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.23/1.61 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.23/1.61 , V0, V1 ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.23/1.61 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.23/1.61 , V0, V1 ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.23/1.61 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =(
% 1.23/1.61 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 1.23/1.61 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.23/1.61 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.23/1.61 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.23/1.61 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ), Y ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ), Y ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.61 X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.23/1.61 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ),
% 1.23/1.61 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ),
% 1.23/1.61 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.61 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.23/1.61 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.61 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.23/1.61 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.23/1.61 T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.23/1.61 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.23/1.61 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.23/1.61 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.23/1.61 ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.23/1.61 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.23/1.61 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.23/1.61 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.23/1.61 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.23/1.61 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.23/1.61 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.23/1.61 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.23/1.61 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.61 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.23/1.61 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.23/1.61 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.23/1.61 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.23/1.61 ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.23/1.61 , Z ), Y ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.23/1.61 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.23/1.61 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.23/1.61 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.23/1.61 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.23/1.61 ) ) ],
% 1.23/1.61 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 X, T, 'tc_nat' ) ],
% 1.23/1.61 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.23/1.61 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.23/1.61 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.23/1.61 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.23/1.61 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.23/1.61 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.23/1.61 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.61 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z,
% 1.23/1.61 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.23/1.61 'tc_nat' ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.23/1.61 'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.23/1.61 'tc_nat' ) ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), X ), 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z,
% 1.23/1.61 'tc_nat' ) ) ) ],
% 1.23/1.61 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.23/1.61 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.23/1.61 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.23/1.61 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.23/1.61 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.23/1.61 ), T ) ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.61 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.23/1.61 U, W, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.23/1.61 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.23/1.61 , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.23/1.61 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), T ), Z ) ), U ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.23/1.61 ) ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.23/1.61 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.61 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.23/1.61 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.61 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.61 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.61 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.23/1.61 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.23/1.61 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.23/1.61 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.23/1.61 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.61 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.23/1.61 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.61 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.23/1.61 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.23/1.61 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.23/1.61 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.23/1.61 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.23/1.61 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.23/1.61 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.23/1.61 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.23/1.61 Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.23/1.61 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.23/1.61 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.23/1.61 , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.23/1.61 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), X ), Z ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.23/1.61 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.23/1.61 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.23/1.61 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.23/1.61 , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.23/1.61 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.23/1.61 ) ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.23/1.61 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.23/1.61 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.23/1.61 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.23/1.61 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.23/1.61 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.23/1.61 , X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.23/1.61 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.23/1.61 , T ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.23/1.61 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.23/1.61 ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.23/1.61 Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.23/1.61 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.23/1.61 , X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.23/1.61 ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.23/1.61 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.23/1.61 X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.23/1.61 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Y ), T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.23/1.61 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.23/1.61 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.23/1.61 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.23/1.61 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.61 , Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.23/1.61 Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.23/1.61 , Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.23/1.61 ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.23/1.61 ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.23/1.61 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.23/1.61 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.23/1.61 Y ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.61 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'(
% 1.23/1.61 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.61 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 Y, X ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.23/1.61 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.23/1.61 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.61 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.23/1.61 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.23/1.61 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.23/1.61 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.23/1.61 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.61 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.23/1.61 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.23/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.23/1.61 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.23/1.61 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.23/1.61 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.23/1.61 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.23/1.61 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ),
% 1.23/1.61 'c_Complex_Oii' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_Complex_Ocomplex' ), 'c_Complex_Oii' ), X ) ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( 'tc_Complex_Ocomplex' ), X ) ) ],
% 1.23/1.61 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.23/1.61 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.23/1.61 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.23/1.61 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.23/1.61 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.23/1.61 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.23/1.61 [ =( 'c_FFT__Mirabelle_OIDFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.61 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.23/1.61 'c_FFT__Mirabelle_OIDFT'( X, 'c_COMBB'( Y, hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.61 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.23/1.61 ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.61 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.23/1.61 ) ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.61 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ) ), Z ) ),
% 1.23/1.61 'c_FFT__Mirabelle_OIDFT'( X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.61 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.23/1.61 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.23/1.61 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 1.23/1.61 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.23/1.61 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.23/1.61 ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.23/1.61 Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.23/1.61 X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.23/1.61 , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 1.23/1.61 ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.23/1.61 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.23/1.61 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.23/1.61 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.23/1.61 ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.23/1.61 ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.23/1.61 ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.23/1.61 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.23/1.61 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.23/1.61 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.23/1.61 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.23/1.61 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.61 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.23/1.61 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.23/1.61 , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.23/1.61 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.23/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.23/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.23/1.61 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.61 ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.61 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.23/1.61 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.61 ), Y ), T ), Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.23/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.23/1.61 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 X ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.23/1.61 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.23/1.61 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.23/1.61 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.23/1.61 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.23/1.61 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), V0
% 1.23/1.61 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.23/1.61 , Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.61 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.23/1.61 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.23/1.61 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.23/1.61 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.61 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.23/1.61 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.23/1.61 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.23/1.61 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), T ), Z ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), T ), Z ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.61 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.23/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.23/1.61 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.23/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.61 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.61 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.23/1.61 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.61 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.61 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 1.23/1.61 U, Y, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.23/1.61 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.61 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.61 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.23/1.61 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.23/1.61 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.61 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.23/1.61 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.23/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ),
% 1.23/1.61 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X,
% 1.23/1.61 X, Z ), T, Z, X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.23/1.61 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.61 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.23/1.61 X ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.23/1.61 , T ) ],
% 1.23/1.61 [ ~( =( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) )
% 1.23/1.61 , Y ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat'
% 1.23/1.61 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.23/1.61 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.23/1.61 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.23/1.61 ), 'tc_nat' ) ) ],
% 1.23/1.61 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.23/1.61 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc',
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.23/1.61 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.61 X ), Y, X, X, 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.23/1.61 , X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 1.23/1.61 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z,
% 1.23/1.61 X ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.23/1.61 , 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.23/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.23/1.61 , 'tc_nat' ) ) ],
% 1.23/1.61 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.23/1.61 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.23/1.61 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.23/1.61 ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.61 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.23/1.61 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ),
% 1.23/1.61 ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.23/1.61 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ]
% 1.23/1.61 ,
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.61 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.23/1.61 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.61 X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), hAPP(
% 1.23/1.61 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.61 X ), Y ), Z ) ) ) ],
% 1.23/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.61 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.61 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.23/1.61 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.23/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.23/1.61 , Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.23/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.23/1.61 , X, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.23/1.61 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.23/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.23/1.61 , X, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.23/1.61 ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.23/1.61 ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.61 'tc_nat' ) ), =( Y, Z ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.23/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.23/1.61 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.61 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.23/1.61 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.23/1.61 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ),
% 1.23/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.61 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.61 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.61 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.61 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.23/1.61 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.23/1.61 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.23/1.61 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 1.23/1.61 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.23/1.61 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 1.23/1.61 'tc_nat' ) ) ],
% 1.23/1.61 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.23/1.61 , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.23/1.61 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =(
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.23/1.61 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.23/1.61 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.23/1.61 , X ) ) ],
% 1.23/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.61 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~(
% 1.23/1.61 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.23/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.61 'v_m', 'tc_nat' ) ],
% 1.23/1.61 [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.61 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP(
% 1.23/1.61 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.23/1.61 'c_FFT__Mirabelle_ODFT'( X, 'c_COMBB'( Y, hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.61 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.23/1.61 ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.61 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.61 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP(
% 1.23/1.61 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.61 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), Z ) ), 'c_FFT__Mirabelle_ODFT'(
% 1.23/1.61 X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.61 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.61 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.23/1.62 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.23/1.62 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.23/1.62 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.23/1.62 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.23/1.62 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.23/1.62 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.23/1.62 ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), =(
% 1.23/1.62 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.23/1.62 ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.23/1.62 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 1.23/1.62 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.23/1.62 , X, Z, U, W, V0 ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.23/1.62 , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.23/1.62 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.23/1.62 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.23/1.62 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.23/1.62 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.62 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.23/1.62 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), 'c_Finite__Set_Osetsum'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.23/1.62 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.23/1.62 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.23/1.62 'tc_nat', X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.23/1.62 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.62 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.23/1.62 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.23/1.62 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), T, X, X, Y ), Y, X, X ),
% 1.23/1.62 U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), V0 ) ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.23/1.62 U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.23/1.62 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.23/1.62 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.23/1.62 ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.62 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.23/1.62 ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.62 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.62 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.23/1.62 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.23/1.62 T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 ),
% 1.23/1.62 Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y
% 1.23/1.62 , X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.23/1.62 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 , X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.23/1.62 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.23/1.62 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.23/1.62 ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.23/1.62 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.23/1.62 , X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.23/1.62 ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.62 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.62 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 , X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.23/1.62 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.23/1.62 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.23/1.62 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.23/1.62 ), X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.23/1.62 ), Z ) ), T ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.62 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.23/1.62 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.23/1.62 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.23/1.62 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.23/1.62 X ), Z, T, X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.23/1.62 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.23/1.62 X ), Z, T, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.23/1.62 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.23/1.62 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.23/1.62 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.23/1.62 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.23/1.62 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.23/1.62 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.62 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.62 Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.62 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 Y, Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.62 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.23/1.62 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.23/1.62 , X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.23/1.62 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.23/1.62 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.23/1.62 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.23/1.62 X, X ), Z, T, X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.23/1.62 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.23/1.62 X, X ), Z, T, X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.23/1.62 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.23/1.62 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.23/1.62 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 1.23/1.62 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.23/1.62 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.62 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.62 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.23/1.62 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.23/1.62 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.23/1.62 ), 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', Z ), Y, 'tc_nat' ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.23/1.62 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBS'(
% 1.23/1.62 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.23/1.62 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.23/1.62 , Y ), 'tc_nat', X, X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), T ), 'tc_nat', X, X ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ), 'c_Finite__Set_Osetsum'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.23/1.62 , 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBB'(
% 1.23/1.62 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.23/1.62 , 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.23/1.62 'tc_nat', X, X ), 'tc_nat', X, X ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.23/1.62 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.23/1.62 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.23/1.62 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.23/1.62 Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'(
% 1.23/1.62 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.23/1.62 ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.23/1.62 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.23/1.62 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_Complex_Oii' ), 'c_Complex_Oii' ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.23/1.62 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.23/1.62 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.23/1.62 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.23/1.62 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.23/1.62 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.62 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.23/1.62 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.23/1.62 T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'(
% 1.23/1.62 T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.23/1.62 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.23/1.62 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.62 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.23/1.62 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.23/1.62 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.23/1.62 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.62 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.23/1.62 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.23/1.62 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.62 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.62 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.23/1.62 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.23/1.62 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.23/1.62 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.62 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.23/1.62 ), Y ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.23/1.62 , X ), 'tc_nat' ), 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X,
% 1.23/1.62 X, 'tc_nat' ), 'tc_nat', X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), T ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), U ) ), X ), ~(
% 1.23/1.62 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.62 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.62 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.23/1.62 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.23/1.62 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.23/1.62 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.23/1.62 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.23/1.62 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.23/1.62 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.23/1.62 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.62 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.23/1.62 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.23/1.62 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.23/1.62 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.23/1.62 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.23/1.62 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.23/1.62 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.23/1.62 ) ), 'c_Complex_Oii' ) ],
% 1.23/1.62 [ =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'v_a',
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.23/1.62 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.23/1.62 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'tc_nat' ), 'tc_nat',
% 1.23/1.62 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.23/1.62 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.23/1.62 ), 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.23/1.62 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.23/1.62 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.23/1.62 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.23/1.62 'tc_Complex_Ocomplex' ) ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.23/1.62 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.23/1.62 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.23/1.62 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.23/1.62 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.23/1.62 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.23/1.62 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.23/1.62 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.23/1.62 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.23/1.62 'tc_Complex_Ocomplex' ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.23/1.62 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.23/1.62 ~( 'c_Lim_OLIM'( W, T, U, Y, X ) ), ~( 'c_Lim_OLIM'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ), 'c_COMBB'(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), W, X, X, Y ), Y, X, X ), T,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.23/1.62 ), Y ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.23/1.62 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.23/1.62 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.23/1.62 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.23/1.62 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.62 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.23/1.62 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.23/1.62 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.23/1.62 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.23/1.62 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.62 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.23/1.62 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.23/1.62 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.23/1.62 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.23/1.62 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.23/1.62 ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.23/1.62 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 1.23/1.62 'tc_nat', 'tc_nat' ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.23/1.62 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.23/1.62 hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.23/1.62 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.23/1.62 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.23/1.62 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.23/1.62 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.23/1.62 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.23/1.62 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.23/1.62 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.23/1.62 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.23/1.62 'tc_nat', X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.23/1.62 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.62 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.23/1.62 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.23/1.62 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.23/1.62 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.23/1.62 , Z ), 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.23/1.62 'tc_nat', X ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.23/1.62 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), X ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ), ~(
% 1.23/1.62 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.23/1.62 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.23/1.62 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.23/1.62 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.23/1.62 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.23/1.62 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.23/1.62 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.23/1.62 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.23/1.62 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.23/1.62 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.23/1.62 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.23/1.62 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.23/1.62 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.62 , X ) ), Z ) ), Z ) ) ],
% 1.23/1.62 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.23/1.62 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.23/1.62 ), Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.23/1.62 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.62 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.23/1.62 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.62 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.23/1.62 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.23/1.62 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.62 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.23/1.62 'c_Suc', Y ) ) ) ],
% 1.23/1.62 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.23/1.62 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.23/1.62 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.23/1.62 ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.62 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.23/1.62 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OPls', X ) ), Y ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.23/1.62 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.23/1.62 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.23/1.62 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.62 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.23/1.62 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.23/1.62 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.62 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), Y ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.23/1.62 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.23/1.62 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), Y ) ), Z ) ), Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.23/1.62 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.23/1.62 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.23/1.62 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.23/1.62 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.23/1.62 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.23/1.62 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.23/1.62 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.62 'tc_Complex_Ocomplex' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.23/1.62 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.23/1.62 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.23/1.62 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.23/1.62 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.23/1.62 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.23/1.62 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.23/1.62 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.23/1.62 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.62 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.23/1.62 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.23/1.62 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.23/1.62 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.23/1.62 , Y ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.23/1.62 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.23/1.62 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.23/1.62 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.23/1.62 , Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.23/1.62 , Y ) ],
% 1.23/1.62 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.23/1.62 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.23/1.62 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.23/1.62 ],
% 1.23/1.62 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.23/1.62 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.23/1.62 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.62 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 'tc_nat' ), X ), Y ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.23/1.62 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 'tc_nat' ), X ), Y ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.23/1.62 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.23/1.62 , X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.62 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.23/1.62 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.23/1.62 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.23/1.62 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.62 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.23/1.62 Y ) ) ],
% 1.23/1.62 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.23/1.62 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.23/1.62 ), Y ) ) ],
% 1.23/1.62 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.23/1.62 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.23/1.62 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.23/1.62 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.62 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.23/1.62 , Z ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.23/1.62 , Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.62 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.23/1.62 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.62 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.23/1.62 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.62 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.23/1.62 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.23/1.62 ) ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.23/1.62 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.23/1.62 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.23/1.62 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 X ) ) ],
% 1.23/1.62 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.23/1.62 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.23/1.62 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.23/1.62 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.62 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.23/1.62 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.23/1.62 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.23/1.62 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.23/1.62 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.23/1.62 ) ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.62 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.62 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.23/1.62 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.23/1.62 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.23/1.62 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.23/1.62 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.23/1.62 , W ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.62 X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.62 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.23/1.62 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.23/1.62 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.23/1.62 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.23/1.62 , X ) ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.23/1.62 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.23/1.62 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.23/1.62 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.23/1.62 ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.23/1.62 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.62 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.23/1.62 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.23/1.62 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.23/1.62 'tc_nat' ), X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.23/1.62 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.23/1.62 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.23/1.62 , Y ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.23/1.62 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.23/1.62 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.23/1.62 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.23/1.62 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.23/1.62 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.23/1.62 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.23/1.62 Y ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.23/1.62 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.23/1.62 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.23/1.62 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ) ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ) ) ],
% 1.23/1.62 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), Y ) ],
% 1.23/1.62 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.23/1.62 X ), Y ) ), Y ) ],
% 1.23/1.62 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.23/1.62 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.23/1.62 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.23/1.62 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.23/1.62 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_i' ), 'c_COMBB'( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.23/1.62 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.23/1.62 , 'tc_nat', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.23/1.62 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ), hAPP(
% 1.23/1.62 'c_HOL_Ouminus__class_Ouminus'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ),
% 1.23/1.62 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ) ), 'v_i' ) ),
% 1.23/1.62 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.23/1.62 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ), 'c_COMBB'(
% 1.23/1.62 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.23/1.62 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.23/1.62 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.23/1.62 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.23/1.62 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), 'v_i' ) ), 'tc_nat',
% 1.23/1.62 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.23/1.62 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ),
% 1.23/1.62 hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP(
% 1.23/1.62 hAPP( 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.23/1.62 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ),
% 1.23/1.62 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.23/1.62 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.23/1.62 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ) ), 'v_m' ) ) )
% 1.23/1.62 ) ) ],
% 1.23/1.62 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.62 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.23/1.62 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.62 'class_Orderings_Opreorder'( Y ) ) ],
% 1.23/1.62 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.23/1.62 'class_Orderings_Oorder'( Y ) ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.23/1.62 ],
% 1.23/1.62 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.23/1.62 ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.23/1.62 ],
% 1.23/1.62 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.23/1.62 ,
% 1.23/1.62 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.23/1.62 'tc_Int_Oint' ) ],
% 1.23/1.62 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.23/1.62 'tc_Int_Oint' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.23/1.62 'tc_Int_Oint' ) ],
% 1.23/1.62 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.23/1.62 ],
% 1.23/1.62 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.23/1.62 ],
% 1.23/1.62 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.23/1.63 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.23/1.63 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.23/1.63 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.23/1.63 ],
% 1.23/1.63 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.23/1.63 ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.23/1.63 ],
% 1.23/1.63 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.23/1.63 ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.23/1.63 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.23/1.63 , W ) ) ) ],
% 1.23/1.63 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.23/1.63 ,
% 1.23/1.63 [ 'c_fequal'( X, X, Y ) ],
% 1.23/1.63 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.23/1.63 ] .
% 1.23/1.63
% 1.23/1.63
% 1.23/1.63 percentage equality = 0.236776, percentage horn = 0.848207
% 1.23/1.63 This is a problem with some equality
% 1.23/1.63
% 1.23/1.63
% 1.23/1.63
% 1.23/1.63 Options Used:
% 1.23/1.63
% 1.23/1.63 useres = 1
% 1.23/1.63 useparamod = 1
% 1.23/1.63 useeqrefl = 1
% 1.23/1.63 useeqfact = 1
% 1.23/1.63 usefactor = 1
% 1.23/1.63 usesimpsplitting = 0
% 1.23/1.63 usesimpdemod = 5
% 1.23/1.63 usesimpres = 3
% 1.23/1.63
% 1.23/1.63 resimpinuse = 1000
% 1.23/1.63 resimpclauses = 20000
% 1.23/1.63 substype = eqrewr
% 1.23/1.63 backwardsubs = 1
% 1.23/1.63 selectoldest = 5
% 1.23/1.63
% 1.23/1.63 litorderings [0] = split
% 1.23/1.63 litorderings [1] = extend the termordering, first sorting on arguments
% 1.23/1.63
% 1.23/1.63 termordering = kbo
% 1.23/1.63
% 1.23/1.63 litapriori = 0
% 1.23/1.63 termapriori = 1
% 1.23/1.63 litaposteriori = 0
% 1.23/1.63 termaposteriori = 0
% 1.23/1.63 demodaposteriori = 0
% 1.23/1.63 ordereqreflfact = 0
% 1.23/1.63
% 1.23/1.63 litselect = negord
% 1.23/1.63
% 1.23/1.63 maxweight = 15
% 1.23/1.63 maxdepth = 30000
% 1.23/1.63 maxlength = 115
% 1.23/1.63 maxnrvars = 195
% 1.23/1.63 excuselevel = 1
% 1.23/1.63 increasemaxweight = 1
% 1.23/1.63
% 1.23/1.63 maxselected = 10000000
% 1.23/1.63 maxnrclauses = 10000000
% 1.23/1.63
% 1.23/1.63 showgenerated = 0
% 1.23/1.63 showkept = 0
% 1.23/1.63 showselected = 0
% 1.23/1.63 showdeleted = 0
% 1.23/1.63 showresimp = 1
% 1.23/1.63 showstatus = 2000
% 1.23/1.63
% 1.23/1.63 prologoutput = 1
% 1.23/1.63 nrgoals = 5000000
% 1.23/1.63 totalproof = 1
% 1.23/1.63
% 1.23/1.63 Symbols occurring in the translation:
% 1.23/1.63
% 1.23/1.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.23/1.63 . [1, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.23/1.63 ! [4, 1] (w:0, o:76, a:1, s:1, b:0),
% 1.23/1.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.23/1.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.23/1.63 'tc_nat' [40, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.23/1.63 'c_Parity_Oeven__odd__class_Oeven' [41, 2] (w:1, o:188, a:1, s:1, b:0
% 1.23/1.63 ),
% 1.23/1.63 'c_HOL_Ominus__class_Ominus' [42, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.23/1.63 hAPP [43, 2] (w:1, o:189, a:1, s:1, b:0),
% 1.23/1.63 'c_HOL_Oone__class_Oone' [44, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.23/1.63 'c_HOL_Ozero__class_Ozero' [45, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.23/1.63 'c_HOL_Oord__class_Oless' [46, 3] (w:1, o:193, a:1, s:1, b:0),
% 1.23/1.63 'class_OrderedGroup_Oab__group__add' [53, 1] (w:1, o:84, a:1, s:1, b:
% 1.23/1.63 0),
% 1.23/1.63 'class_Orderings_Olinorder' [57, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.23/1.63 'c_lessequals' [58, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.23/1.63 'class_Orderings_Opreorder' [59, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.23/1.63 'c_COMBC' [64, 5] (w:1, o:206, a:1, s:1, b:0),
% 1.23/1.63 'class_OrderedGroup_Opordered__ab__group__add__abs' [66, 1] (w:1, o:
% 1.23/1.63 89, a:1, s:1, b:0),
% 1.23/1.63 'c_HOL_Oabs__class_Oabs' [67, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.23/1.63 'c_HOL_Oplus__class_Oplus' [68, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.23/1.63 'class_Orderings_Oorder' [72, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.23/1.63 'class_RealVector_Oreal__normed__field' [73, 1] (w:1, o:92, a:1, s:1
% 1.23/1.63 , b:0),
% 1.23/1.63 'c_HOL_Oinverse__class_Odivide' [74, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.23/1.63 'c_Lim_OLIM' [75, 5] (w:1, o:207, a:1, s:1, b:0),
% 1.23/1.63 'class_Ring__and__Field_Oordered__idom' [76, 1] (w:1, o:96, a:1, s:1
% 1.23/1.63 , b:0),
% 1.23/1.63 'c_HOL_Otimes__class_Otimes' [77, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.23/1.63 'class_Ring__and__Field_Olordered__ring' [80, 1] (w:1, o:98, a:1, s:1
% 1.23/1.63 , b:0),
% 1.23/1.63 'c_Suc' [81, 0] (w:1, o:44, a:1, s:1, b:0),
% 1.23/1.63 'class_RealVector_Oreal__normed__algebra' [82, 1] (w:1, o:99, a:1, s:
% 1.23/1.63 1, b:0),
% 1.23/1.63 'c_Divides_Odiv__class_Odiv' [84, 3] (w:1, o:195, a:1, s:1, b:0),
% 1.23/1.63 'c_HOL_Ouminus__class_Ouminus' [85, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.23/1.63 'class_RealVector_Oreal__normed__vector' [86, 1] (w:1, o:101, a:1, s:
% 1.23/1.63 1, b:0),
% 1.23/1.63 'tc_fun' [88, 2] (w:1, o:190, a:1, s:1, b:0),
% 1.23/1.63 'c_COMBB' [89, 5] (w:1, o:205, a:1, s:1, b:0),
% 1.23/1.63 'c_SEQ_OLIMSEQ' [90, 3] (w:1, o:196, a:1, s:1, b:0),
% 1.23/1.63 'class_RealVector_Ometric__space' [91, 1] (w:1, o:102, a:1, s:1, b:0)
% 1.23/1.63 ,
% 1.23/1.63 'c_Divides_Odiv__class_Omod' [93, 3] (w:1, o:197, a:1, s:1, b:0),
% 1.23/1.63 'class_OrderedGroup_Olordered__ab__group__add__abs' [94, 1] (w:1, o:
% 1.23/1.63 103, a:1, s:1, b:0),
% 1.23/1.63 hBOOL [95, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.23/1.63 'class_RealVector_Oreal__normed__algebra__1' [97, 1] (w:1, o:105, a:1
% 1.23/1.63 , s:1, b:0),
% 1.23/1.63 'c_Power_Opower__class_Opower' [99, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.23/1.63 'class_Power_Opower' [100, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.23/1.63 'class_OrderedGroup_Opordered__ab__group__add' [102, 1] (w:1, o:107
% 1.23/1.63 , a:1, s:1, b:0),
% 1.23/1.63 'c_Groebner__Basis_Ogb__semiring' [108, 6] (w:1, o:209, a:1, s:1, b:0
% 1.23/1.63 ),
% 1.23/1.63 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [110, 1]
% 1.23/1.63 (w:1, o:108, a:1, s:1, b:0),
% 1.23/1.63 'c_Int_OPls' [111, 0] (w:1, o:59, a:1, s:1, b:0),
% 1.23/1.63 'c_Int_OBit1' [112, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.23/1.63 'c_Int_OBit0' [113, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.23/1.63 'c_Int_Onumber__class_Onumber__of' [114, 2] (w:1, o:191, a:1, s:1, b:
% 1.23/1.63 0),
% 1.23/1.63 'class_Divides_Osemiring__div' [115, 1] (w:1, o:127, a:1, s:1, b:0),
% 1.23/1.63
% 1.23/1.63 'class_OrderedGroup_Ogroup__add' [116, 1] (w:1, o:109, a:1, s:1, b:0)
% 1.23/1.63 ,
% 1.23/1.63 'class_Ring__and__Field_Oidom' [117, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.23/1.63
% 1.23/1.63 'class_Int_Onumber__ring' [118, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.23/1.63 'class_Ring__and__Field_Oordered__semiring__strict' [119, 1] (w:1, o:
% 1.23/1.63 131, a:1, s:1, b:0),
% 1.23/1.63 'class_Ring__and__Field_Opordered__ring__abs' [120, 1] (w:1, o:136
% 1.23/1.63 , a:1, s:1, b:0),
% 1.23/1.63 'class_Ring__and__Field_Oordered__semiring' [121, 1] (w:1, o:132, a:1
% 1.23/1.63 , s:1, b:0),
% 1.23/1.63 'class_Ring__and__Field_Oordered__ring__strict' [122, 1] (w:1, o:130
% 1.23/1.63 , a:1, s:1, b:0),
% 1.23/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [123, 1]
% 1.23/1.63 (w:1, o:110, a:1, s:1, b:0),
% 1.23/1.63 'class_OrderedGroup_Ocomm__monoid__add' [124, 1] (w:1, o:111, a:1, s:
% 1.23/1.63 1, b:0),
% 1.23/1.63 'class_OrderedGroup_Opordered__comm__monoid__add' [125, 1] (w:1, o:
% 1.23/1.63 112, a:1, s:1, b:0),
% 1.23/1.63 'c_Power_Opower_Opower' [126, 3] (w:1, o:198, a:1, s:1, b:0),
% 1.23/1.63 'class_Ring__and__Field_Opordered__ring' [131, 1] (w:1, o:137, a:1
% 1.23/1.63 , s:1, b:0),
% 1.23/1.63 'class_OrderedGroup_Opordered__ab__semigroup__add' [133, 1] (w:1, o:
% 1.23/1.63 113, a:1, s:1, b:0),
% 1.23/1.63 'class_Divides_Oring__div' [139, 1] (w:1, o:126, a:1, s:1, b:0),
% 5.01/5.38 'c_Fun_Oinj__on' [141, 4] (w:1, o:203, a:1, s:1, b:0),
% 5.01/5.38 'class_Int_Onumber' [142, 1] (w:1, o:138, a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Oabs__if' [145, 1] (w:1, o:139, a:1, s:1, b:0
% 5.01/5.38 ),
% 5.01/5.38 'c_Int_OMin' [146, 0] (w:1, o:64, a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Oordered__semidom' [147, 1] (w:1, o:133, a:1
% 5.01/5.38 , s:1, b:0),
% 5.01/5.38 'class_OrderedGroup_Omonoid__mult' [148, 1] (w:1, o:115, a:1, s:1, b:
% 5.01/5.38 0),
% 5.01/5.38 'class_Ring__and__Field_Oordered__field' [149, 1] (w:1, o:134, a:1
% 5.01/5.38 , s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Odivision__by__zero' [150, 1] (w:1, o:145, a:
% 5.01/5.38 1, s:1, b:0),
% 5.01/5.38 'c_COMBS' [151, 5] (w:1, o:208, a:1, s:1, b:0),
% 5.01/5.38 'c_Finite__Set_Osetsum' [155, 4] (w:1, o:204, a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Oordered__comm__semiring__strict' [156, 1]
% 5.01/5.38 (w:1, o:135, a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Omult__mono1' [157, 1] (w:1, o:146, a:1, s:1
% 5.01/5.38 , b:0),
% 5.01/5.38 'class_Ring__and__Field_Omult__mono' [158, 1] (w:1, o:147, a:1, s:1
% 5.01/5.38 , b:0),
% 5.01/5.38 'class_Ring__and__Field_Opordered__cancel__semiring' [159, 1] (w:1
% 5.01/5.38 , o:148, a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Opordered__semiring' [160, 1] (w:1, o:149, a:
% 5.01/5.38 1, s:1, b:0),
% 5.01/5.38 'class_OrderedGroup_Olordered__ab__group__add' [161, 1] (w:1, o:114
% 5.01/5.38 , a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Ocomm__semiring__1' [162, 1] (w:1, o:143, a:1
% 5.01/5.38 , s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Ofield' [163, 1] (w:1, o:150, a:1, s:1, b:0)
% 5.01/5.38 ,
% 5.01/5.38 'class_Ring__and__Field_Oring' [166, 1] (w:1, o:151, a:1, s:1, b:0),
% 5.01/5.38
% 5.01/5.38 'class_OrderedGroup_Oordered__ab__group__add' [167, 1] (w:1, o:88, a:
% 5.01/5.38 1, s:1, b:0),
% 5.01/5.38 'c_Complex_Oii' [168, 0] (w:1, o:68, a:1, s:1, b:0),
% 5.01/5.38 'tc_Complex_Ocomplex' [169, 0] (w:1, o:69, a:1, s:1, b:0),
% 5.01/5.38 'c_FFT__Mirabelle_Oroot' [170, 1] (w:1, o:152, a:1, s:1, b:0),
% 5.01/5.38 'c_SetInterval_Oord__class_OatLeastLessThan' [171, 3] (w:1, o:199, a:
% 5.01/5.38 1, s:1, b:0),
% 5.01/5.38 'c_FFT__Mirabelle_OIDFT' [172, 3] (w:1, o:200, a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Ocomm__ring__1' [173, 1] (w:1, o:140, a:1, s:
% 5.01/5.38 1, b:0),
% 5.01/5.38 'v_m' [175, 0] (w:1, o:70, a:1, s:1, b:0),
% 5.01/5.38 'c_FFT__Mirabelle_ODFT' [176, 3] (w:1, o:201, a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Ocomm__ring' [177, 1] (w:1, o:141, a:1, s:1
% 5.01/5.38 , b:0),
% 5.01/5.38 'class_RealVector_Oreal__field' [178, 1] (w:1, o:153, a:1, s:1, b:0)
% 5.01/5.38 ,
% 5.01/5.38 'class_Ring__and__Field_Osemiring__0' [180, 1] (w:1, o:157, a:1, s:1
% 5.01/5.38 , b:0),
% 5.01/5.38 'v_a' [181, 0] (w:1, o:71, a:1, s:1, b:0),
% 5.01/5.38 'v_i' [182, 0] (w:1, o:72, a:1, s:1, b:0),
% 5.01/5.38 'c_Series_Osuminf' [183, 2] (w:1, o:192, a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Ocomm__semiring__0' [184, 1] (w:1, o:142, a:1
% 5.01/5.38 , s:1, b:0),
% 5.01/5.38 'class_OrderedGroup_Ocancel__ab__semigroup__add' [185, 1] (w:1, o:116
% 5.01/5.38 , a:1, s:1, b:0),
% 5.01/5.38 'class_OrderedGroup_Ocancel__semigroup__add' [186, 1] (w:1, o:117, a:
% 5.01/5.38 1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Ozero__neq__one' [187, 1] (w:1, o:158, a:1
% 5.01/5.38 , s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Ocomm__semiring' [188, 1] (w:1, o:144, a:1
% 5.01/5.38 , s:1, b:0),
% 5.01/5.38 'class_OrderedGroup_Oab__semigroup__mult' [189, 1] (w:1, o:118, a:1
% 5.01/5.38 , s:1, b:0),
% 5.01/5.38 'class_OrderedGroup_Ocomm__monoid__mult' [190, 1] (w:1, o:119, a:1
% 5.01/5.38 , s:1, b:0),
% 5.01/5.38 'class_OrderedGroup_Oab__semigroup__idem__mult' [191, 1] (w:1, o:120
% 5.01/5.38 , a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Ono__zero__divisors' [192, 1] (w:1, o:95, a:1
% 5.01/5.38 , s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Omult__zero' [193, 1] (w:1, o:94, a:1, s:1
% 5.01/5.38 , b:0),
% 5.01/5.38 'class_Ring__and__Field_Oring__1__no__zero__divisors' [194, 1] (w:1
% 5.01/5.38 , o:154, a:1, s:1, b:0),
% 5.01/5.38 'class_Lattices_Oboolean__algebra' [195, 1] (w:1, o:159, a:1, s:1, b:
% 5.01/5.38 0),
% 5.01/5.38 'class_Ring__and__Field_Oring__no__zero__divisors' [196, 1] (w:1, o:
% 5.01/5.38 155, a:1, s:1, b:0),
% 5.01/5.38 'class_Ring__and__Field_Osemiring__1' [197, 1] (w:1, o:160, a:1, s:1
% 5.01/5.38 , b:0),
% 5.01/5.38 'class_Ring__and__Field_Oring__1' [199, 1] (w:1, o:156, a:1, s:1, b:0
% 5.01/5.38 ),
% 5.01/5.38 'class_Ring__and__Field_Osemiring' [202, 1] (w:1, o:161, a:1, s:1, b:
% 20.39/20.78 0),
% 20.39/20.78 'class_OrderedGroup_Oab__semigroup__add' [203, 1] (w:1, o:121, a:1
% 20.39/20.78 , s:1, b:0),
% 20.39/20.78 'class_Int_Oring__char__0' [204, 1] (w:1, o:162, a:1, s:1, b:0),
% 20.39/20.78 'class_OrderedGroup_Omonoid__add' [205, 1] (w:1, o:122, a:1, s:1, b:0
% 20.39/20.78 ),
% 20.39/20.78 'tc_Int_Oint' [208, 0] (w:1, o:75, a:1, s:1, b:0),
% 20.39/20.78 'c_fequal' [209, 3] (w:1, o:202, a:1, s:1, b:0).
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Starting Search:
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 4248
% 20.39/20.78 Kept: 2197
% 20.39/20.78 Inuse: 147
% 20.39/20.78 Deleted: 4
% 20.39/20.78 Deletedinuse: 0
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 11863
% 20.39/20.78 Kept: 4220
% 20.39/20.78 Inuse: 217
% 20.39/20.78 Deleted: 4
% 20.39/20.78 Deletedinuse: 0
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 16283
% 20.39/20.78 Kept: 6224
% 20.39/20.78 Inuse: 250
% 20.39/20.78 Deleted: 5
% 20.39/20.78 Deletedinuse: 1
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 22040
% 20.39/20.78 Kept: 8239
% 20.39/20.78 Inuse: 312
% 20.39/20.78 Deleted: 5
% 20.39/20.78 Deletedinuse: 1
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 27925
% 20.39/20.78 Kept: 10255
% 20.39/20.78 Inuse: 383
% 20.39/20.78 Deleted: 8
% 20.39/20.78 Deletedinuse: 1
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 32905
% 20.39/20.78 Kept: 12917
% 20.39/20.78 Inuse: 399
% 20.39/20.78 Deleted: 9
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 37323
% 20.39/20.78 Kept: 15078
% 20.39/20.78 Inuse: 409
% 20.39/20.78 Deleted: 9
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 45362
% 20.39/20.78 Kept: 17227
% 20.39/20.78 Inuse: 464
% 20.39/20.78 Deleted: 9
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 51858
% 20.39/20.78 Kept: 19346
% 20.39/20.78 Inuse: 519
% 20.39/20.78 Deleted: 9
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying clauses:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 58893
% 20.39/20.78 Kept: 21380
% 20.39/20.78 Inuse: 579
% 20.39/20.78 Deleted: 364
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 64559
% 20.39/20.78 Kept: 23839
% 20.39/20.78 Inuse: 624
% 20.39/20.78 Deleted: 364
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 69560
% 20.39/20.78 Kept: 26159
% 20.39/20.78 Inuse: 654
% 20.39/20.78 Deleted: 364
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 74713
% 20.39/20.78 Kept: 28193
% 20.39/20.78 Inuse: 699
% 20.39/20.78 Deleted: 364
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 82157
% 20.39/20.78 Kept: 30412
% 20.39/20.78 Inuse: 754
% 20.39/20.78 Deleted: 364
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 88349
% 20.39/20.78 Kept: 32424
% 20.39/20.78 Inuse: 783
% 20.39/20.78 Deleted: 364
% 20.39/20.78 Deletedinuse: 2
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 95111
% 20.39/20.78 Kept: 35286
% 20.39/20.78 Inuse: 797
% 20.39/20.78 Deleted: 365
% 20.39/20.78 Deletedinuse: 3
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 102099
% 20.39/20.78 Kept: 37592
% 20.39/20.78 Inuse: 819
% 20.39/20.78 Deleted: 365
% 20.39/20.78 Deletedinuse: 3
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 109687
% 20.39/20.78 Kept: 40137
% 20.39/20.78 Inuse: 864
% 20.39/20.78 Deleted: 365
% 20.39/20.78 Deletedinuse: 3
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying clauses:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 116076
% 20.39/20.78 Kept: 42301
% 20.39/20.78 Inuse: 889
% 20.39/20.78 Deleted: 672
% 20.39/20.78 Deletedinuse: 3
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 122334
% 20.39/20.78 Kept: 44325
% 20.39/20.78 Inuse: 924
% 20.39/20.78 Deleted: 672
% 20.39/20.78 Deletedinuse: 3
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 129228
% 20.39/20.78 Kept: 46360
% 20.39/20.78 Inuse: 959
% 20.39/20.78 Deleted: 672
% 20.39/20.78 Deletedinuse: 3
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 20.39/20.78 Done
% 20.39/20.78
% 20.39/20.78
% 20.39/20.78 Intermediate Status:
% 20.39/20.78 Generated: 137109
% 20.39/20.78 Kept: 48428
% 20.39/20.78 Inuse: 1004
% 20.39/20.78 Deleted: 672
% 20.39/20.78 Deletedinuse: 3
% 20.39/20.78
% 20.39/20.78 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 145829
% 53.06/53.46 Kept: 50485
% 53.06/53.46 Inuse: 1054
% 53.06/53.46 Deleted: 672
% 53.06/53.46 Deletedinuse: 3
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 153933
% 53.06/53.46 Kept: 52498
% 53.06/53.46 Inuse: 1093
% 53.06/53.46 Deleted: 672
% 53.06/53.46 Deletedinuse: 3
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 162007
% 53.06/53.46 Kept: 54545
% 53.06/53.46 Inuse: 1139
% 53.06/53.46 Deleted: 672
% 53.06/53.46 Deletedinuse: 3
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 168424
% 53.06/53.46 Kept: 56693
% 53.06/53.46 Inuse: 1169
% 53.06/53.46 Deleted: 672
% 53.06/53.46 Deletedinuse: 3
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 178780
% 53.06/53.46 Kept: 59987
% 53.06/53.46 Inuse: 1184
% 53.06/53.46 Deleted: 672
% 53.06/53.46 Deletedinuse: 3
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying clauses:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 186639
% 53.06/53.46 Kept: 61994
% 53.06/53.46 Inuse: 1226
% 53.06/53.46 Deleted: 1103
% 53.06/53.46 Deletedinuse: 5
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 195733
% 53.06/53.46 Kept: 64112
% 53.06/53.46 Inuse: 1259
% 53.06/53.46 Deleted: 1103
% 53.06/53.46 Deletedinuse: 5
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 205029
% 53.06/53.46 Kept: 66307
% 53.06/53.46 Inuse: 1289
% 53.06/53.46 Deleted: 1103
% 53.06/53.46 Deletedinuse: 5
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 213480
% 53.06/53.46 Kept: 68420
% 53.06/53.46 Inuse: 1329
% 53.06/53.46 Deleted: 1103
% 53.06/53.46 Deletedinuse: 5
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 219260
% 53.06/53.46 Kept: 71720
% 53.06/53.46 Inuse: 1334
% 53.06/53.46 Deleted: 1103
% 53.06/53.46 Deletedinuse: 5
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 224025
% 53.06/53.46 Kept: 73783
% 53.06/53.46 Inuse: 1336
% 53.06/53.46 Deleted: 1103
% 53.06/53.46 Deletedinuse: 5
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 229867
% 53.06/53.46 Kept: 75810
% 53.06/53.46 Inuse: 1342
% 53.06/53.46 Deleted: 1103
% 53.06/53.46 Deletedinuse: 5
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 242345
% 53.06/53.46 Kept: 77839
% 53.06/53.46 Inuse: 1354
% 53.06/53.46 Deleted: 1103
% 53.06/53.46 Deletedinuse: 5
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 258852
% 53.06/53.46 Kept: 79846
% 53.06/53.46 Inuse: 1376
% 53.06/53.46 Deleted: 1111
% 53.06/53.46 Deletedinuse: 7
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying clauses:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 273935
% 53.06/53.46 Kept: 84754
% 53.06/53.46 Inuse: 1395
% 53.06/53.46 Deleted: 2125
% 53.06/53.46 Deletedinuse: 8
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 280472
% 53.06/53.46 Kept: 86873
% 53.06/53.46 Inuse: 1425
% 53.06/53.46 Deleted: 2126
% 53.06/53.46 Deletedinuse: 9
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 288255
% 53.06/53.46 Kept: 89214
% 53.06/53.46 Inuse: 1455
% 53.06/53.46 Deleted: 2126
% 53.06/53.46 Deletedinuse: 9
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 295059
% 53.06/53.46 Kept: 91217
% 53.06/53.46 Inuse: 1460
% 53.06/53.46 Deleted: 2126
% 53.06/53.46 Deletedinuse: 9
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 301878
% 53.06/53.46 Kept: 93225
% 53.06/53.46 Inuse: 1465
% 53.06/53.46 Deleted: 2127
% 53.06/53.46 Deletedinuse: 10
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 308513
% 53.06/53.46 Kept: 95239
% 53.06/53.46 Inuse: 1489
% 53.06/53.46 Deleted: 2128
% 53.06/53.46 Deletedinuse: 11
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 315141
% 53.06/53.46 Kept: 97248
% 53.06/53.46 Inuse: 1508
% 53.06/53.46 Deleted: 2128
% 53.06/53.46 Deletedinuse: 11
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 321966
% 53.06/53.46 Kept: 99261
% 53.06/53.46 Inuse: 1530
% 53.06/53.46 Deleted: 2128
% 53.06/53.46 Deletedinuse: 11
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying clauses:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 329266
% 53.06/53.46 Kept: 101269
% 53.06/53.46 Inuse: 1537
% 53.06/53.46 Deleted: 5367
% 53.06/53.46 Deletedinuse: 11
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 336978
% 53.06/53.46 Kept: 103514
% 53.06/53.46 Inuse: 1545
% 53.06/53.46 Deleted: 5368
% 53.06/53.46 Deletedinuse: 12
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46 Resimplifying inuse:
% 53.06/53.46 Done
% 53.06/53.46
% 53.06/53.46
% 53.06/53.46 Intermediate Status:
% 53.06/53.46 Generated: 346326
% 53.06/53.46 Kept: 105885
% 53.06/53.46 Inuse: 1575
% 53.06/53.46 Deleted: 5368
% 53.06/53.46 Deletedinuse: 12
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 355025
% 110.99/111.37 Kept: 108100
% 110.99/111.37 Inuse: 1600
% 110.99/111.37 Deleted: 5368
% 110.99/111.37 Deletedinuse: 12
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 365385
% 110.99/111.37 Kept: 110429
% 110.99/111.37 Inuse: 1635
% 110.99/111.37 Deleted: 5368
% 110.99/111.37 Deletedinuse: 12
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 384695
% 110.99/111.37 Kept: 114162
% 110.99/111.37 Inuse: 1659
% 110.99/111.37 Deleted: 5372
% 110.99/111.37 Deletedinuse: 15
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 392545
% 110.99/111.37 Kept: 116286
% 110.99/111.37 Inuse: 1664
% 110.99/111.37 Deleted: 5372
% 110.99/111.37 Deletedinuse: 15
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 400877
% 110.99/111.37 Kept: 118299
% 110.99/111.37 Inuse: 1689
% 110.99/111.37 Deleted: 5372
% 110.99/111.37 Deletedinuse: 15
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 410437
% 110.99/111.37 Kept: 120524
% 110.99/111.37 Inuse: 1719
% 110.99/111.37 Deleted: 5373
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying clauses:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 419850
% 110.99/111.37 Kept: 122843
% 110.99/111.37 Inuse: 1744
% 110.99/111.37 Deleted: 6056
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 432629
% 110.99/111.37 Kept: 125400
% 110.99/111.37 Inuse: 1754
% 110.99/111.37 Deleted: 6056
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 443799
% 110.99/111.37 Kept: 127593
% 110.99/111.37 Inuse: 1759
% 110.99/111.37 Deleted: 6056
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 452651
% 110.99/111.37 Kept: 129896
% 110.99/111.37 Inuse: 1789
% 110.99/111.37 Deleted: 6056
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 466612
% 110.99/111.37 Kept: 133382
% 110.99/111.37 Inuse: 1809
% 110.99/111.37 Deleted: 6056
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 475997
% 110.99/111.37 Kept: 135393
% 110.99/111.37 Inuse: 1847
% 110.99/111.37 Deleted: 6056
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 484508
% 110.99/111.37 Kept: 137441
% 110.99/111.37 Inuse: 1879
% 110.99/111.37 Deleted: 6056
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 493723
% 110.99/111.37 Kept: 139827
% 110.99/111.37 Inuse: 1914
% 110.99/111.37 Deleted: 6056
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 501298
% 110.99/111.37 Kept: 141861
% 110.99/111.37 Inuse: 1939
% 110.99/111.37 Deleted: 6056
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying clauses:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 511050
% 110.99/111.37 Kept: 144437
% 110.99/111.37 Inuse: 1964
% 110.99/111.37 Deleted: 6504
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 520114
% 110.99/111.37 Kept: 146448
% 110.99/111.37 Inuse: 1993
% 110.99/111.37 Deleted: 6504
% 110.99/111.37 Deletedinuse: 16
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 527077
% 110.99/111.37 Kept: 148451
% 110.99/111.37 Inuse: 2014
% 110.99/111.37 Deleted: 6512
% 110.99/111.37 Deletedinuse: 24
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 534088
% 110.99/111.37 Kept: 150473
% 110.99/111.37 Inuse: 2034
% 110.99/111.37 Deleted: 6512
% 110.99/111.37 Deletedinuse: 24
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 542837
% 110.99/111.37 Kept: 152907
% 110.99/111.37 Inuse: 2039
% 110.99/111.37 Deleted: 6513
% 110.99/111.37 Deletedinuse: 25
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 551622
% 110.99/111.37 Kept: 155333
% 110.99/111.37 Inuse: 2044
% 110.99/111.37 Deleted: 6513
% 110.99/111.37 Deletedinuse: 25
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 560631
% 110.99/111.37 Kept: 158142
% 110.99/111.37 Inuse: 2069
% 110.99/111.37 Deleted: 6513
% 110.99/111.37 Deletedinuse: 25
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 569204
% 110.99/111.37 Kept: 160443
% 110.99/111.37 Inuse: 2094
% 110.99/111.37 Deleted: 6513
% 110.99/111.37 Deletedinuse: 25
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37 Resimplifying clauses:
% 110.99/111.37 Done
% 110.99/111.37
% 110.99/111.37
% 110.99/111.37 Intermediate Status:
% 110.99/111.37 Generated: 576574
% 110.99/111.37 Kept: 162461
% 110.99/111.37 Inuse: 2114
% 110.99/111.37 Deleted: 7457
% 110.99/111.37 Deletedinuse: 25
% 110.99/111.37
% 110.99/111.37 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 583909
% 200.15/200.51 Kept: 164483
% 200.15/200.51 Inuse: 2135
% 200.15/200.51 Deleted: 7457
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 591971
% 200.15/200.51 Kept: 166509
% 200.15/200.51 Inuse: 2159
% 200.15/200.51 Deleted: 7457
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 603183
% 200.15/200.51 Kept: 169445
% 200.15/200.51 Inuse: 2169
% 200.15/200.51 Deleted: 7457
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 611736
% 200.15/200.51 Kept: 171468
% 200.15/200.51 Inuse: 2204
% 200.15/200.51 Deleted: 7457
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 628180
% 200.15/200.51 Kept: 175711
% 200.15/200.51 Inuse: 2214
% 200.15/200.51 Deleted: 7457
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 635139
% 200.15/200.51 Kept: 177776
% 200.15/200.51 Inuse: 2234
% 200.15/200.51 Deleted: 7457
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 645933
% 200.15/200.51 Kept: 180462
% 200.15/200.51 Inuse: 2239
% 200.15/200.51 Deleted: 7457
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying clauses:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 653125
% 200.15/200.51 Kept: 182480
% 200.15/200.51 Inuse: 2259
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 660472
% 200.15/200.51 Kept: 184524
% 200.15/200.51 Inuse: 2284
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 669472
% 200.15/200.51 Kept: 186775
% 200.15/200.51 Inuse: 2314
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 678626
% 200.15/200.51 Kept: 188863
% 200.15/200.51 Inuse: 2349
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 690395
% 200.15/200.51 Kept: 191089
% 200.15/200.51 Inuse: 2374
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 698225
% 200.15/200.51 Kept: 193258
% 200.15/200.51 Inuse: 2394
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 705890
% 200.15/200.51 Kept: 195306
% 200.15/200.51 Inuse: 2414
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 713899
% 200.15/200.51 Kept: 197510
% 200.15/200.51 Inuse: 2434
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 721314
% 200.15/200.51 Kept: 199591
% 200.15/200.51 Inuse: 2454
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 729177
% 200.15/200.51 Kept: 201987
% 200.15/200.51 Inuse: 2479
% 200.15/200.51 Deleted: 7614
% 200.15/200.51 Deletedinuse: 25
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying clauses:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 735273
% 200.15/200.51 Kept: 204233
% 200.15/200.51 Inuse: 2492
% 200.15/200.51 Deleted: 7795
% 200.15/200.51 Deletedinuse: 26
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 742560
% 200.15/200.51 Kept: 206624
% 200.15/200.51 Inuse: 2507
% 200.15/200.51 Deleted: 7795
% 200.15/200.51 Deletedinuse: 26
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 749725
% 200.15/200.51 Kept: 208843
% 200.15/200.51 Inuse: 2522
% 200.15/200.51 Deleted: 7795
% 200.15/200.51 Deletedinuse: 26
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 754922
% 200.15/200.51 Kept: 211044
% 200.15/200.51 Inuse: 2537
% 200.15/200.51 Deleted: 7795
% 200.15/200.51 Deletedinuse: 26
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 761983
% 200.15/200.51 Kept: 213112
% 200.15/200.51 Inuse: 2552
% 200.15/200.51 Deleted: 7795
% 200.15/200.51 Deletedinuse: 26
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 779139
% 200.15/200.51 Kept: 217303
% 200.15/200.51 Inuse: 2572
% 200.15/200.51 Deleted: 7795
% 200.15/200.51 Deletedinuse: 26
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 Intermediate Status:
% 200.15/200.51 Generated: 807732
% 200.15/200.51 Kept: 220213
% 200.15/200.51 Inuse: 2581
% 200.15/200.51 Deleted: 7797
% 200.15/200.51 Deletedinuse: 27
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying inuse:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51 Resimplifying clauses:
% 200.15/200.51 Done
% 200.15/200.51
% 200.15/200.51
% 200.15/200.51 IntermeCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------