TSTP Solution File: SWV648-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV648-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 16:27:27 EDT 2022
% Result : Timeout 300.08s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV648-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Wed Jun 15 06:03:08 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.17/1.52 *** allocated 10000 integers for termspace/termends
% 1.17/1.52 *** allocated 10000 integers for clauses
% 1.17/1.52 *** allocated 10000 integers for justifications
% 1.17/1.52 *** allocated 15000 integers for termspace/termends
% 1.17/1.52 *** allocated 22500 integers for termspace/termends
% 1.17/1.52 *** allocated 33750 integers for termspace/termends
% 1.17/1.52 Bliksem 1.12
% 1.17/1.52
% 1.17/1.52
% 1.17/1.52 Automatic Strategy Selection
% 1.17/1.52
% 1.17/1.52 Clauses:
% 1.17/1.52 [
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.17/1.52 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.17/1.52 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.52 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.52 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.17/1.52 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Y ) ],
% 1.17/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Y ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Y ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.52 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ) ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ) ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.17/1.52 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.52 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.17/1.52 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.52 , Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.17/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.17/1.52 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.52 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.17/1.52 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.17/1.52 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.17/1.52 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.17/1.52 ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.17/1.52 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.17/1.52 ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.17/1.52 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.17/1.52 ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.17/1.52 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.17/1.52 ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ) ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.52 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.17/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.52 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.52 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.52 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.17/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.17/1.52 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.52 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.17/1.52 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.17/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.17/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.17/1.52 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.17/1.52 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , Y ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , Y ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.17/1.52 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.17/1.52 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.17/1.52 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.17/1.52 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.17/1.52 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), Y ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.17/1.52 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.52 X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.17/1.52 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.52 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.17/1.52 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.17/1.52 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.52 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.52 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ) ), Y ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.17/1.52 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.17/1.52 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.52 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.17/1.52 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.17/1.52 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.52 ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.52 ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.52 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.52 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.52 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.52 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.52 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.52 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.17/1.52 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.17/1.52 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.52 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.52 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.52 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.52 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.52 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.52 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.52 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.17/1.52 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.17/1.52 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.52 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.17/1.52 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.52 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.17/1.52 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.17/1.52 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.52 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.17/1.52 ) ), Z ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.17/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.17/1.52 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.17/1.52 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.17/1.52 ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.17/1.52 ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.17/1.52 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.17/1.52 ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.17/1.52 ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.17/1.52 , Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.17/1.52 Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.17/1.52 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.52 , Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.17/1.52 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.17/1.52 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.17/1.52 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.52 X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.17/1.52 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), Y ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.17/1.52 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.17/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.52 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.17/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.17/1.52 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.52 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.17/1.52 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.17/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.17/1.52 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.17/1.52 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.52 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.17/1.52 ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.52 ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.17/1.52 ), =( Z, Y ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.17/1.52 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.52 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.52 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.52 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.52 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.52 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.52 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.52 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.52 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.17/1.52 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.52 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.52 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.52 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.17/1.52 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.52 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.52 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.17/1.52 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.17/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.17/1.52 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.17/1.52 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), T ), Z ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.52 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 Y, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.52 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.52 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.17/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.17/1.52 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.17/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.17/1.52 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.17/1.52 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.17/1.52 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.17/1.52 , V0, U, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.17/1.52 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.17/1.52 , V0, U, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.17/1.52 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.17/1.52 X, T, U, Y, W, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.17/1.52 X, T, U, Z, W, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.17/1.52 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.17/1.52 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.17/1.52 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.17/1.52 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.17/1.52 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.17/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Z ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.52 Y ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.17/1.52 Y ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.17/1.52 Y ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.17/1.52 Y ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.52 Y ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.17/1.52 Y ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.52 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.52 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.17/1.52 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.52 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.17/1.52 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.17/1.52 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.52 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.17/1.52 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.17/1.52 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.52 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.52 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.52 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.52 T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.17/1.52 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.52 ), Y ) ), Z ) ), Z ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.17/1.52 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.17/1.52 'c_lessequals'( Z, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.52 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.17/1.52 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.17/1.52 'c_lessequals'( Z, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.17/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.17/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.52 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.17/1.52 ) ],
% 1.17/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.52 X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.17/1.52 Z, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.17/1.52 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.52 X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.52 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.52 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.17/1.52 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.17/1.52 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.17/1.52 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.52 , X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.17/1.52 , X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.17/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.17/1.52 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.17/1.52 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.17/1.52 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.17/1.52 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.17/1.52 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.17/1.52 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.17/1.52 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.17/1.52 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.52 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.52 'tc_nat' ), 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.17/1.52 ), 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.17/1.52 ), 'tc_nat' ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.17/1.52 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.17/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.52 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.52 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.17/1.52 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.17/1.52 X, X ), Z, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.17/1.52 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.17/1.52 X, X ), Z, T, X ) ) ],
% 1.17/1.52 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.17/1.52 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 1.17/1.52 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.17/1.52 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.17/1.52 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.17/1.52 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.17/1.52 , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.17/1.52 ), T ), U ) ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.17/1.52 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.17/1.52 V0, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.17/1.52 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.17/1.52 V0, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.17/1.52 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.17/1.52 , V0, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.17/1.52 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.17/1.52 , V0, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.17/1.52 T, X, U, Y, W, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.17/1.52 T, X, U, Z, W, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.17/1.52 T, X, U, W, Y, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.17/1.52 T, X, U, W, Z, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.17/1.52 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.17/1.52 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.17/1.52 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.17/1.52 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.17/1.52 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.17/1.52 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.17/1.52 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.17/1.52 , V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.17/1.52 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.17/1.52 W, V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.17/1.52 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.17/1.52 , V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.17/1.52 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.17/1.52 W, V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.17/1.52 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.17/1.52 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.17/1.52 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.17/1.52 W, V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.17/1.52 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.17/1.52 W, V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.17/1.52 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.17/1.52 , V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.17/1.52 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.17/1.52 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.17/1.52 , V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.17/1.52 X, T, U, Y, W, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.17/1.52 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.17/1.52 , V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.17/1.52 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.17/1.52 T, X, U, Y, W, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.17/1.52 T, X, U, W, Y, V0 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.17/1.52 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.17/1.52 , V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.17/1.52 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.17/1.52 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.17/1.52 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.17/1.52 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.17/1.52 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.52 ), Y ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.17/1.52 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.17/1.52 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.17/1.52 X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.17/1.52 ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.17/1.52 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.17/1.52 , X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.17/1.52 Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.52 , X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.17/1.52 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.17/1.52 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.17/1.52 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.17/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.17/1.52 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.17/1.52 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.17/1.52 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.17/1.52 X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.17/1.52 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.17/1.52 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.17/1.52 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.17/1.52 , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.17/1.52 , X ) ) ],
% 1.17/1.52 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.52 , Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.52 , Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.52 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.17/1.52 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.52 X ), X ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 1.17/1.52 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.17/1.52 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.17/1.52 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.52 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.17/1.52 , T ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.17/1.52 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.52 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.17/1.52 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.52 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.17/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.17/1.52 ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.17/1.52 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.17/1.52 , X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.17/1.52 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.17/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.52 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.17/1.52 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.52 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.17/1.52 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.17/1.52 ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.17/1.52 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.17/1.52 X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.17/1.52 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.17/1.52 , T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.17/1.52 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.17/1.52 , X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.52 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.17/1.52 , X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.52 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.17/1.52 , X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.17/1.52 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.17/1.52 ) ) ],
% 1.17/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.52 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.17/1.52 ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 1.17/1.52 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.17/1.52 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.17/1.52 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.17/1.52 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.17/1.52 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.17/1.52 ,
% 1.17/1.52 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.52 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.17/1.52 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ) ), Y ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ) ), Y ) ],
% 1.17/1.52 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.17/1.52 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.52 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.17/1.52 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.17/1.52 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.17/1.52 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.17/1.52 ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.17/1.52 , Z ), Y ), 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.17/1.52 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.17/1.52 ],
% 1.17/1.52 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.17/1.52 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.17/1.52 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.17/1.52 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.17/1.52 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.17/1.52 ) ) ],
% 1.17/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 X, T, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.17/1.52 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.17/1.52 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.17/1.52 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.17/1.52 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.52 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.17/1.52 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.17/1.52 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.17/1.52 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.17/1.52 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.52 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.17/1.52 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.52 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.17/1.52 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.17/1.52 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.52 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.17/1.52 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.17/1.52 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.17/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.52 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.52 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ) ) ],
% 1.17/1.52 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.52 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.52 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.52 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.17/1.52 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.52 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.17/1.52 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 1.17/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.17/1.52 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.17/1.52 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.17/1.52 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.52 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.52 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.17/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.52 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.52 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.52 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.52 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.52 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.52 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.52 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.17/1.52 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.52 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.52 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.17/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.53 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.53 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.53 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.53 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.53 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.17/1.53 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.17/1.53 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.53 ), Y ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.17/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.17/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.17/1.53 Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.17/1.53 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.53 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.17/1.53 'c_lessequals'( Z, Y, X ) ],
% 1.17/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.53 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.53 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.53 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.17/1.53 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.53 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.53 [ =( X, hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.53 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.17/1.53 , X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.53 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.17/1.53 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.17/1.53 ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.17/1.53 ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.17/1.53 ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.17/1.53 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.53 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.53 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Z ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Z ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.17/1.53 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.17/1.53 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.17/1.53 ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.53 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.53 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.17/1.53 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.53 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.53 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.17/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.53 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.17/1.53 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.53 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.53 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.17/1.53 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.53 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.17/1.53 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.17/1.53 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.17/1.53 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.17/1.53 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.17/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.17/1.53 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.17/1.53 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.53 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.17/1.53 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.53 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.17/1.53 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.17/1.53 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.53 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.53 ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.17/1.53 ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.17/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.17/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.17/1.53 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.17/1.53 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.53 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.53 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.53 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.53 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , X ) ), Z ) ), Z ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.53 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.17/1.53 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.17/1.53 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.17/1.53 ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.17/1.53 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Z ), U ) ), W ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.17/1.53 ), W, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Z ), T ) ), W ), X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.53 , X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.17/1.53 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.17/1.53 ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.17/1.53 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.17/1.53 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.17/1.53 ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.17/1.53 ), Z ) ), T ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.17/1.53 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.17/1.53 X ), Z, T, X ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.17/1.53 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.17/1.53 X ), Z, T, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.53 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.17/1.53 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.17/1.53 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.17/1.53 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.17/1.53 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.17/1.53 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.53 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.17/1.53 , Y ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.17/1.53 , Y ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.17/1.53 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.53 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.53 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.53 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.17/1.53 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.17/1.53 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.17/1.53 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.17/1.53 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.17/1.53 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.53 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.53 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.17/1.53 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.17/1.53 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_FFT__Mirabelle_ODFT'( X, 'c_COMBB'( Y, hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.17/1.53 ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.17/1.53 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), Z ) ), 'c_FFT__Mirabelle_ODFT'(
% 1.17/1.53 X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.17/1.53 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.17/1.53 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.17/1.53 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.53 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.17/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.17/1.53 Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'(
% 1.17/1.53 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.17/1.53 ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.17/1.53 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.17/1.53 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.17/1.53 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.17/1.53 , X, Z, U, W, V0 ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.17/1.53 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.53 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.53 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.17/1.53 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.17/1.53 , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.17/1.53 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.17/1.53 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.17/1.53 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.17/1.53 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.17/1.53 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.53 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.53 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.17/1.53 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.17/1.53 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.17/1.53 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.17/1.53 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.17/1.53 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.53 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.17/1.53 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.53 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.53 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.53 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.17/1.53 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.17/1.53 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.17/1.53 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.17/1.53 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.17/1.53 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.17/1.53 ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.53 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.53 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.53 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.53 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.53 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.17/1.53 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.17/1.53 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.17/1.53 Y ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.53 ) ), Z ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.53 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.17/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.17/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.17/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.17/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.17/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.53 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.17/1.53 ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.53 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.17/1.53 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.17/1.53 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.17/1.53 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.17/1.53 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.17/1.53 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.17/1.53 ), 'tc_nat' ) ) ],
% 1.17/1.53 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.17/1.53 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.53 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.17/1.53 , 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.17/1.53 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.17/1.53 , 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.17/1.53 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.17/1.53 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.17/1.53 , Y, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.17/1.53 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.17/1.53 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.17/1.53 , X, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.17/1.53 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.17/1.53 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.17/1.53 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.17/1.53 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.17/1.53 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.17/1.53 , X, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.17/1.53 ), 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.17/1.53 ), 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.53 'tc_nat' ) ), =( Y, Z ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.17/1.53 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.17/1.53 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.17/1.53 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.17/1.53 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.17/1.53 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 1.17/1.53 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.17/1.53 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.53 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.17/1.53 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.17/1.53 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.17/1.53 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.53 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.53 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat'
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.17/1.53 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 'v_m', 'tc_nat' ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.53 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.17/1.53 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.17/1.53 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.17/1.53 ) ), 'c_Complex_Oii' ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.17/1.53 ), Y ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.17/1.53 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.53 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.53 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.53 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.17/1.53 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.53 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.17/1.53 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.17/1.53 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.53 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.17/1.53 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.17/1.53 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.17/1.53 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.17/1.53 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.17/1.53 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.17/1.53 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.17/1.53 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.17/1.53 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.53 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.17/1.53 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.17/1.53 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.17/1.53 ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.17/1.53 ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.17/1.53 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.17/1.53 ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.17/1.53 ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 1.17/1.53 'tc_nat', 'tc_nat' ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.17/1.53 hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.17/1.53 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.17/1.53 [ =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'v_a',
% 1.17/1.53 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'tc_nat' ), 'tc_nat',
% 1.17/1.53 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.17/1.53 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.17/1.53 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.17/1.53 ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 1.17/1.53 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.17/1.53 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.17/1.53 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.17/1.53 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.17/1.53 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.17/1.53 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.17/1.53 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.17/1.53 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.17/1.53 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.17/1.53 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.17/1.53 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.17/1.53 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.17/1.53 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBS'(
% 1.17/1.53 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.17/1.53 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.17/1.53 , Y ), 'tc_nat', X, X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), T ), 'tc_nat', X, X ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ), 'c_Finite__Set_Osetsum'(
% 1.17/1.53 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.17/1.53 , 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBB'(
% 1.17/1.53 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.17/1.53 , 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.17/1.53 'tc_nat', X, X ), 'tc_nat', X, X ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.17/1.53 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.17/1.53 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.17/1.53 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.17/1.53 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.17/1.53 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.17/1.53 ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.17/1.53 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OPls', X ) ), Y ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.17/1.53 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.17/1.53 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.17/1.53 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.17/1.53 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.17/1.53 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.53 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), Y ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.17/1.53 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.17/1.53 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.17/1.53 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.17/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.17/1.53 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.53 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.17/1.53 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.17/1.53 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.17/1.53 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.17/1.53 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.17/1.53 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.17/1.53 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.17/1.53 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), 'c_Finite__Set_Osetsum'(
% 1.17/1.53 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.17/1.53 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.17/1.53 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.17/1.53 'tc_nat', X ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.17/1.53 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.17/1.53 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.17/1.53 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.17/1.53 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.53 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.17/1.53 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.17/1.53 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.17/1.53 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.17/1.53 ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.53 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.17/1.53 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.17/1.53 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.17/1.53 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.17/1.53 'c_Suc', Y ) ) ) ],
% 1.17/1.53 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.17/1.53 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.17/1.53 ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.17/1.53 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.17/1.53 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.17/1.53 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.17/1.53 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.17/1.53 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.17/1.53 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.17/1.53 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.17/1.53 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.17/1.53 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.17/1.53 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.17/1.53 , X ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.17/1.53 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.53 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 'tc_nat' ), Y ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.17/1.53 ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.17/1.53 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.17/1.53 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 'tc_nat' ), X ), Y ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.17/1.53 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 'tc_nat' ), X ), Y ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.17/1.53 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.17/1.53 , X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.17/1.53 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.17/1.53 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.17/1.53 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.17/1.53 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.17/1.53 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.17/1.53 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.17/1.53 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.17/1.53 , Z ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.17/1.53 , Z ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.53 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.17/1.53 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.53 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.17/1.53 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.17/1.53 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.53 'tc_nat' ), X ), Y ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.53 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.17/1.53 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.17/1.53 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.17/1.53 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.17/1.53 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.53 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.17/1.53 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.17/1.53 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.17/1.53 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.17/1.53 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.17/1.53 , Z ), 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.17/1.53 'tc_nat', X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.53 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.53 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.53 , Y ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.53 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.53 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.17/1.53 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.17/1.53 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.17/1.53 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.53 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.17/1.53 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.17/1.53 , Y ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.17/1.53 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.17/1.53 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.17/1.53 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.17/1.53 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), T ), Z ) ), U ) ) ],
% 1.17/1.53 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.17/1.53 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.17/1.53 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.17/1.53 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.17/1.53 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.17/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.17/1.53 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.17/1.53 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.17/1.53 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.17/1.53 'tc_nat', X ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.17/1.53 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.53 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.53 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.53 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.53 X ), Y ), Z ) ), Z ), Y ) ],
% 1.17/1.53 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.53 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.17/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.17/1.53 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.17/1.53 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.53 ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.17/1.53 ,
% 1.17/1.53 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.17/1.53 , W ) ) ) ],
% 1.17/1.53 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.17/1.53 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.53 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.17/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.53 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.17/1.53 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.17/1.53 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.17/1.53 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.53 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.17/1.53 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.53 , X ) ), T ) ) ) ],
% 1.17/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.17/1.53 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.54 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.17/1.54 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.17/1.54 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.17/1.54 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.54 'tc_nat' ) ) ],
% 1.17/1.54 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.54 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.54 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.54 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.17/1.54 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.17/1.54 ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.17/1.54 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.54 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.54 X ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.54 X ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.54 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.17/1.54 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.17/1.54 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.54 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.17/1.54 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.17/1.54 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.17/1.54 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.54 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.17/1.54 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.17/1.54 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.54 'tc_nat' ), X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.54 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.17/1.54 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.17/1.54 , Y ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.17/1.54 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.54 Y ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.17/1.54 Y ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.54 Y ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.54 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.17/1.54 Y ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.17/1.54 Y ) ],
% 1.17/1.54 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.17/1.54 Y ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.17/1.54 Y ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.54 X ), Y ), Z ) ), Z ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.17/1.54 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.17/1.54 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.54 ) ) ],
% 1.17/1.54 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' )
% 1.17/1.54 , 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.17/1.54 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.54 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.17/1.54 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.17/1.54 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( 'v_a', hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.17/1.54 ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.17/1.54 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.54 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 1.17/1.54 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.17/1.54 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.54 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.54 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.17/1.54 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_i' ), 'c_COMBB'( hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.17/1.54 , 'tc_nat', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.17/1.54 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.17/1.54 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( 'v_a', 'c_COMBB'( 'c_Suc'
% 1.17/1.54 , hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.17/1.54 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.17/1.54 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.17/1.54 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.54 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.17/1.54 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.54 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' )
% 1.17/1.54 , 'v_m' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.17/1.54 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.17/1.54 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( 'v_a', hAPP(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.17/1.54 ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.17/1.54 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.54 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP(
% 1.17/1.54 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.17/1.54 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.54 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.17/1.54 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP( hAPP(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), 'v_m' ) ) ),
% 1.17/1.54 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.17/1.54 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.17/1.54 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' )
% 1.17/1.54 , 'v_m' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.17/1.54 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.17/1.54 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( 'v_a', 'c_COMBB'( 'c_Suc'
% 1.17/1.54 , hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.17/1.54 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.17/1.54 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.17/1.54 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.17/1.54 'tc_Complex_Ocomplex' ) ) ) ) ) ],
% 1.17/1.54 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.54 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.17/1.54 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.54 'class_Orderings_Opreorder'( Y ) ) ],
% 1.17/1.54 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.17/1.54 'class_Orderings_Oorder'( Y ) ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.17/1.54 ],
% 1.17/1.54 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.17/1.54 ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.17/1.54 ],
% 1.17/1.54 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.17/1.54 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.17/1.54 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.17/1.54 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.17/1.54 ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.17/1.54 ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.17/1.54 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.17/1.54 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.17/1.54 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.17/1.54 ],
% 1.17/1.54 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.17/1.54 ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.17/1.54 ],
% 1.17/1.54 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.17/1.54 ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.54 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.17/1.54 , W ) ) ) ],
% 1.17/1.54 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ 'c_fequal'( X, X, Y ) ],
% 1.17/1.54 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.17/1.54 ] .
% 1.17/1.54
% 1.17/1.54
% 1.17/1.54 percentage equality = 0.225186, percentage horn = 0.834114
% 1.17/1.54 This is a problem with some equality
% 1.17/1.54
% 1.17/1.54
% 1.17/1.54
% 1.17/1.54 Options Used:
% 1.17/1.54
% 1.17/1.54 useres = 1
% 1.17/1.54 useparamod = 1
% 1.17/1.54 useeqrefl = 1
% 1.17/1.54 useeqfact = 1
% 1.17/1.54 usefactor = 1
% 1.17/1.54 usesimpsplitting = 0
% 1.17/1.54 usesimpdemod = 5
% 1.17/1.54 usesimpres = 3
% 1.17/1.54
% 1.17/1.54 resimpinuse = 1000
% 1.17/1.54 resimpclauses = 20000
% 1.17/1.54 substype = eqrewr
% 1.17/1.54 backwardsubs = 1
% 1.17/1.54 selectoldest = 5
% 1.17/1.54
% 1.17/1.54 litorderings [0] = split
% 1.17/1.54 litorderings [1] = extend the termordering, first sorting on arguments
% 1.17/1.54
% 1.17/1.54 termordering = kbo
% 1.17/1.54
% 1.17/1.54 litapriori = 0
% 1.17/1.54 termapriori = 1
% 1.17/1.54 litaposteriori = 0
% 1.17/1.54 termaposteriori = 0
% 1.17/1.54 demodaposteriori = 0
% 1.17/1.54 ordereqreflfact = 0
% 1.17/1.54
% 1.17/1.54 litselect = negord
% 1.17/1.54
% 1.17/1.54 maxweight = 15
% 1.17/1.54 maxdepth = 30000
% 1.17/1.54 maxlength = 115
% 1.17/1.54 maxnrvars = 195
% 1.17/1.54 excuselevel = 1
% 1.17/1.54 increasemaxweight = 1
% 1.17/1.54
% 1.17/1.54 maxselected = 10000000
% 1.17/1.54 maxnrclauses = 10000000
% 1.17/1.54
% 1.17/1.54 showgenerated = 0
% 1.17/1.54 showkept = 0
% 1.17/1.54 showselected = 0
% 1.17/1.54 showdeleted = 0
% 1.17/1.54 showresimp = 1
% 1.17/1.54 showstatus = 2000
% 1.17/1.54
% 1.17/1.54 prologoutput = 1
% 1.17/1.54 nrgoals = 5000000
% 1.17/1.54 totalproof = 1
% 1.17/1.54
% 1.17/1.54 Symbols occurring in the translation:
% 1.17/1.54
% 1.17/1.54 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.17/1.54 . [1, 2] (w:1, o:150, a:1, s:1, b:0),
% 1.17/1.54 ! [4, 1] (w:0, o:73, a:1, s:1, b:0),
% 1.17/1.54 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.17/1.54 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.17/1.54 'class_OrderedGroup_Opordered__ab__group__add' [40, 1] (w:1, o:79, a:
% 1.17/1.54 1, s:1, b:0),
% 1.17/1.54 'c_HOL_Ouminus__class_Ouminus' [41, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.17/1.54 hAPP [43, 2] (w:1, o:175, a:1, s:1, b:0),
% 1.17/1.54 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.17/1.54 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [46, 1]
% 1.17/1.54 (w:1, o:82, a:1, s:1, b:0),
% 1.17/1.54 'c_HOL_Oplus__class_Oplus' [47, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.17/1.54 'c_lessequals' [50, 3] (w:1, o:181, a:1, s:1, b:0),
% 1.17/1.54 'class_OrderedGroup_Ogroup__add' [51, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.17/1.54
% 1.17/1.54 'class_Lattices_Oboolean__algebra' [52, 1] (w:1, o:86, a:1, s:1, b:0)
% 1.17/1.54 ,
% 1.17/1.54 'class_Ring__and__Field_Oordered__semidom' [54, 1] (w:1, o:90, a:1
% 1.17/1.54 , s:1, b:0),
% 1.17/1.54 'c_HOL_Oone__class_Oone' [55, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.17/1.54 'c_HOL_Otimes__class_Otimes' [56, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.17/1.54 'class_Ring__and__Field_Oordered__field' [59, 1] (w:1, o:91, a:1, s:1
% 1.17/1.54 , b:0),
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero' [60, 1] (w:1, o:97, a:1
% 1.17/1.54 , s:1, b:0),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero' [61, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide' [62, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.17/1.54 'tc_nat' [63, 0] (w:1, o:29, a:1, s:1, b:0),
% 1.17/1.54 'c_HOL_Ominus__class_Ominus' [64, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.17/1.54 'c_Parity_Oeven__odd__class_Oeven' [66, 2] (w:1, o:176, a:1, s:1, b:0
% 1.17/1.54 ),
% 1.17/1.54 'c_Power_Opower__class_Opower' [67, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.17/1.54 'class_Int_Onumber__ring' [68, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.17/1.54 'c_Int_OMin' [69, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of' [70, 2] (w:1, o:177, a:1, s:1, b:0
% 1.17/1.54 ),
% 1.17/1.54 'class_RealVector_Oreal__normed__field' [71, 1] (w:1, o:103, a:1, s:1
% 1.17/1.54 , b:0),
% 1.17/1.54 'class_Ring__and__Field_Ofield' [72, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.17/1.54
% 1.17/1.54 'class_Orderings_Olinorder' [73, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.17/1.54 'class_OrderedGroup_Oordered__ab__group__add' [74, 1] (w:1, o:78, a:1
% 1.17/1.54 , s:1, b:0),
% 1.17/1.54 'class_Ring__and__Field_Ozero__neq__one' [75, 1] (w:1, o:106, a:1, s:
% 1.17/1.54 1, b:0),
% 1.17/1.54 'class_Ring__and__Field_Oordered__semiring__strict' [76, 1] (w:1, o:
% 1.17/1.54 107, a:1, s:1, b:0),
% 1.17/1.54 'class_Ring__and__Field_Oordered__idom' [77, 1] (w:1, o:108, a:1, s:1
% 1.17/1.54 , b:0),
% 1.17/1.54 'class_Ring__and__Field_Oordered__semiring' [79, 1] (w:1, o:109, a:1
% 1.17/1.54 , s:1, b:0),
% 1.17/1.54 'class_Ring__and__Field_Oordered__ring__strict' [80, 1] (w:1, o:89
% 1.17/1.54 , a:1, s:1, b:0),
% 1.17/1.54 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [81, 1]
% 1.17/1.54 (w:1, o:110, a:1, s:1, b:0),
% 1.17/1.54 'class_OrderedGroup_Ocomm__monoid__add' [82, 1] (w:1, o:111, a:1, s:1
% 6.16/6.51 , b:0),
% 6.16/6.51 'class_OrderedGroup_Opordered__comm__monoid__add' [83, 1] (w:1, o:112
% 6.16/6.51 , a:1, s:1, b:0),
% 6.16/6.51 'class_OrderedGroup_Olordered__ab__group__add' [84, 1] (w:1, o:113
% 6.16/6.51 , a:1, s:1, b:0),
% 6.16/6.51 'c_Power_Opower_Opower' [85, 3] (w:1, o:182, a:1, s:1, b:0),
% 6.16/6.51 'class_Int_Onumber' [86, 1] (w:1, o:114, a:1, s:1, b:0),
% 6.16/6.51 'class_Orderings_Opreorder' [88, 1] (w:1, o:116, a:1, s:1, b:0),
% 6.16/6.51 'c_COMBC' [93, 5] (w:1, o:190, a:1, s:1, b:0),
% 6.16/6.51 'class_Orderings_Oorder' [95, 1] (w:1, o:115, a:1, s:1, b:0),
% 6.16/6.51 hBOOL [96, 1] (w:1, o:117, a:1, s:1, b:0),
% 6.16/6.51 'c_Groebner__Basis_Ogb__semiring' [102, 6] (w:1, o:192, a:1, s:1, b:0
% 6.16/6.51 ),
% 6.16/6.51 'class_Ring__and__Field_Oring' [103, 1] (w:1, o:118, a:1, s:1, b:0),
% 6.16/6.51
% 6.16/6.51 'class_Ring__and__Field_Oidom' [104, 1] (w:1, o:119, a:1, s:1, b:0),
% 6.16/6.51
% 6.16/6.51 'class_RealVector_Oreal__normed__algebra' [105, 1] (w:1, o:120, a:1
% 6.16/6.51 , s:1, b:0),
% 6.16/6.51 'class_OrderedGroup_Omonoid__mult' [107, 1] (w:1, o:121, a:1, s:1, b:
% 6.16/6.51 0),
% 6.16/6.51 'class_OrderedGroup_Ocomm__monoid__mult' [108, 1] (w:1, o:122, a:1
% 6.16/6.51 , s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Ocomm__semiring__1' [109, 1] (w:1, o:95, a:1
% 6.16/6.51 , s:1, b:0),
% 6.16/6.51 'class_OrderedGroup_Oab__group__add' [110, 1] (w:1, o:123, a:1, s:1
% 6.16/6.51 , b:0),
% 6.16/6.51 'class_OrderedGroup_Opordered__ab__semigroup__add' [111, 1] (w:1, o:
% 6.16/6.51 124, a:1, s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Oring__1' [115, 1] (w:1, o:125, a:1, s:1, b:0
% 6.16/6.51 ),
% 6.16/6.51 'class_Power_Opower' [116, 1] (w:1, o:132, a:1, s:1, b:0),
% 6.16/6.51 'c_Finite__Set_Osetsum' [121, 4] (w:1, o:187, a:1, s:1, b:0),
% 6.16/6.51 'tc_fun' [123, 2] (w:1, o:178, a:1, s:1, b:0),
% 6.16/6.51 'c_COMBB' [124, 5] (w:1, o:189, a:1, s:1, b:0),
% 6.16/6.51 'c_Suc' [126, 0] (w:1, o:56, a:1, s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Ocomm__ring__1' [132, 1] (w:1, o:92, a:1, s:1
% 6.16/6.51 , b:0),
% 6.16/6.51 'c_Fun_Oinj__on' [135, 4] (w:1, o:188, a:1, s:1, b:0),
% 6.16/6.51 'c_Int_OBit1' [139, 1] (w:1, o:134, a:1, s:1, b:0),
% 6.16/6.51 'c_Int_OPls' [141, 0] (w:1, o:62, a:1, s:1, b:0),
% 6.16/6.51 'c_Int_OBit0' [142, 1] (w:1, o:133, a:1, s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Oordered__comm__semiring__strict' [144, 1]
% 6.16/6.51 (w:1, o:135, a:1, s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Omult__mono1' [145, 1] (w:1, o:136, a:1, s:1
% 6.16/6.51 , b:0),
% 6.16/6.51 'class_Ring__and__Field_Omult__mono' [146, 1] (w:1, o:137, a:1, s:1
% 6.16/6.51 , b:0),
% 6.16/6.51 'class_Ring__and__Field_Opordered__ring' [147, 1] (w:1, o:138, a:1
% 6.16/6.51 , s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Opordered__cancel__semiring' [148, 1] (w:1
% 6.16/6.51 , o:139, a:1, s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Opordered__semiring' [149, 1] (w:1, o:140, a:
% 6.16/6.51 1, s:1, b:0),
% 6.16/6.51 'c_SetInterval_Oord__class_OatLeastLessThan' [150, 3] (w:1, o:183, a:
% 6.16/6.51 1, s:1, b:0),
% 6.16/6.51 'class_RealVector_Oreal__field' [152, 1] (w:1, o:141, a:1, s:1, b:0)
% 6.16/6.51 ,
% 6.16/6.51 'class_Ring__and__Field_Osemiring__0' [154, 1] (w:1, o:144, a:1, s:1
% 6.16/6.51 , b:0),
% 6.16/6.51 'c_FFT__Mirabelle_ODFT' [155, 3] (w:1, o:184, a:1, s:1, b:0),
% 6.16/6.51 'tc_Complex_Ocomplex' [156, 0] (w:1, o:63, a:1, s:1, b:0),
% 6.16/6.51 'c_FFT__Mirabelle_Oroot' [157, 1] (w:1, o:145, a:1, s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Osemiring__1' [158, 1] (w:1, o:146, a:1, s:1
% 6.16/6.51 , b:0),
% 6.16/6.51 'v_m' [159, 0] (w:1, o:64, a:1, s:1, b:0),
% 6.16/6.51 'c_Complex_Oii' [160, 0] (w:1, o:65, a:1, s:1, b:0),
% 6.16/6.51 'class_RealVector_Oreal__normed__algebra__1' [161, 1] (w:1, o:147, a:
% 6.16/6.51 1, s:1, b:0),
% 6.16/6.51 'c_COMBS' [162, 5] (w:1, o:191, a:1, s:1, b:0),
% 6.16/6.51 'c_Series_Osuminf' [163, 2] (w:1, o:179, a:1, s:1, b:0),
% 6.16/6.51 'v_i' [164, 0] (w:1, o:66, a:1, s:1, b:0),
% 6.16/6.51 'c_FFT__Mirabelle_OIDFT' [165, 3] (w:1, o:185, a:1, s:1, b:0),
% 6.16/6.51 'v_a' [166, 0] (w:1, o:67, a:1, s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Ocomm__ring' [167, 1] (w:1, o:93, a:1, s:1
% 6.16/6.51 , b:0),
% 6.16/6.51 'class_OrderedGroup_Oab__semigroup__mult' [170, 1] (w:1, o:126, a:1
% 6.16/6.51 , s:1, b:0),
% 6.16/6.51 'class_OrderedGroup_Oab__semigroup__idem__mult' [171, 1] (w:1, o:127
% 6.16/6.51 , a:1, s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Ono__zero__divisors' [172, 1] (w:1, o:88, a:1
% 6.16/6.51 , s:1, b:0),
% 6.16/6.51 'class_Ring__and__Field_Omult__zero' [173, 1] (w:1, o:87, a:1, s:1
% 18.38/18.77 , b:0),
% 18.38/18.77 'class_Ring__and__Field_Oring__1__no__zero__divisors' [174, 1] (w:1
% 18.38/18.77 , o:142, a:1, s:1, b:0),
% 18.38/18.77 'class_Ring__and__Field_Oring__no__zero__divisors' [175, 1] (w:1, o:
% 18.38/18.77 143, a:1, s:1, b:0),
% 18.38/18.77 'class_Ring__and__Field_Ocomm__semiring' [176, 1] (w:1, o:96, a:1, s:
% 18.38/18.77 1, b:0),
% 18.38/18.77 'class_OrderedGroup_Ocancel__ab__semigroup__add' [177, 1] (w:1, o:128
% 18.38/18.77 , a:1, s:1, b:0),
% 18.38/18.77 'class_OrderedGroup_Ocancel__semigroup__add' [178, 1] (w:1, o:129, a:
% 18.38/18.77 1, s:1, b:0),
% 18.38/18.77 'class_Ring__and__Field_Osemiring' [182, 1] (w:1, o:148, a:1, s:1, b:
% 18.38/18.77 0),
% 18.38/18.77 'class_Ring__and__Field_Ocomm__semiring__0' [183, 1] (w:1, o:94, a:1
% 18.38/18.77 , s:1, b:0),
% 18.38/18.77 'class_OrderedGroup_Oab__semigroup__add' [184, 1] (w:1, o:130, a:1
% 18.38/18.77 , s:1, b:0),
% 18.38/18.77 'class_Int_Oring__char__0' [185, 1] (w:1, o:149, a:1, s:1, b:0),
% 18.38/18.77 'class_OrderedGroup_Omonoid__add' [186, 1] (w:1, o:131, a:1, s:1, b:0
% 18.38/18.77 ),
% 18.38/18.77 'tc_Int_Oint' [189, 0] (w:1, o:70, a:1, s:1, b:0),
% 18.38/18.77 'c_fequal' [190, 3] (w:1, o:186, a:1, s:1, b:0).
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Starting Search:
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 4018
% 18.38/18.77 Kept: 2039
% 18.38/18.77 Inuse: 172
% 18.38/18.77 Deleted: 1
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 9152
% 18.38/18.77 Kept: 4053
% 18.38/18.77 Inuse: 265
% 18.38/18.77 Deleted: 1
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 15349
% 18.38/18.77 Kept: 6116
% 18.38/18.77 Inuse: 345
% 18.38/18.77 Deleted: 1
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 19453
% 18.38/18.77 Kept: 8136
% 18.38/18.77 Inuse: 374
% 18.38/18.77 Deleted: 2
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 24289
% 18.38/18.77 Kept: 10137
% 18.38/18.77 Inuse: 572
% 18.38/18.77 Deleted: 34
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 29906
% 18.38/18.77 Kept: 12242
% 18.38/18.77 Inuse: 651
% 18.38/18.77 Deleted: 35
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 37905
% 18.38/18.77 Kept: 14455
% 18.38/18.77 Inuse: 708
% 18.38/18.77 Deleted: 38
% 18.38/18.77 Deletedinuse: 0
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 52360
% 18.38/18.77 Kept: 17101
% 18.38/18.77 Inuse: 723
% 18.38/18.77 Deleted: 39
% 18.38/18.77 Deletedinuse: 1
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 59907
% 18.38/18.77 Kept: 19704
% 18.38/18.77 Inuse: 728
% 18.38/18.77 Deleted: 39
% 18.38/18.77 Deletedinuse: 1
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying clauses:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 68741
% 18.38/18.77 Kept: 21918
% 18.38/18.77 Inuse: 758
% 18.38/18.77 Deleted: 414
% 18.38/18.77 Deletedinuse: 1
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 78766
% 18.38/18.77 Kept: 25370
% 18.38/18.77 Inuse: 793
% 18.38/18.77 Deleted: 415
% 18.38/18.77 Deletedinuse: 2
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 84522
% 18.38/18.77 Kept: 27372
% 18.38/18.77 Inuse: 798
% 18.38/18.77 Deleted: 415
% 18.38/18.77 Deletedinuse: 2
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 95320
% 18.38/18.77 Kept: 30436
% 18.38/18.77 Inuse: 813
% 18.38/18.77 Deleted: 415
% 18.38/18.77 Deletedinuse: 2
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 104998
% 18.38/18.77 Kept: 32588
% 18.38/18.77 Inuse: 848
% 18.38/18.77 Deleted: 415
% 18.38/18.77 Deletedinuse: 2
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 111832
% 18.38/18.77 Kept: 34869
% 18.38/18.77 Inuse: 878
% 18.38/18.77 Deleted: 415
% 18.38/18.77 Deletedinuse: 2
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 117033
% 18.38/18.77 Kept: 37053
% 18.38/18.77 Inuse: 898
% 18.38/18.77 Deleted: 415
% 18.38/18.77 Deletedinuse: 2
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 125361
% 18.38/18.77 Kept: 39146
% 18.38/18.77 Inuse: 938
% 18.38/18.77 Deleted: 415
% 18.38/18.77 Deletedinuse: 2
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 143578
% 18.38/18.77 Kept: 42711
% 18.38/18.77 Inuse: 958
% 18.38/18.77 Deleted: 415
% 18.38/18.77 Deletedinuse: 2
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying clauses:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77 Resimplifying inuse:
% 18.38/18.77 Done
% 18.38/18.77
% 18.38/18.77
% 18.38/18.77 Intermediate Status:
% 18.38/18.77 Generated: 151945
% 18.38/18.77 Kept: 44802
% 48.25/48.60 Inuse: 998
% 48.25/48.60 Deleted: 611
% 48.25/48.60 Deletedinuse: 2
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 158950
% 48.25/48.60 Kept: 46835
% 48.25/48.60 Inuse: 1033
% 48.25/48.60 Deleted: 612
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 166620
% 48.25/48.60 Kept: 48879
% 48.25/48.60 Inuse: 1068
% 48.25/48.60 Deleted: 612
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 174290
% 48.25/48.60 Kept: 50973
% 48.25/48.60 Inuse: 1088
% 48.25/48.60 Deleted: 612
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 183329
% 48.25/48.60 Kept: 53409
% 48.25/48.60 Inuse: 1113
% 48.25/48.60 Deleted: 612
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 191036
% 48.25/48.60 Kept: 55413
% 48.25/48.60 Inuse: 1131
% 48.25/48.60 Deleted: 612
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 198921
% 48.25/48.60 Kept: 57636
% 48.25/48.60 Inuse: 1163
% 48.25/48.60 Deleted: 612
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 206365
% 48.25/48.60 Kept: 59694
% 48.25/48.60 Inuse: 1193
% 48.25/48.60 Deleted: 612
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 212273
% 48.25/48.60 Kept: 61755
% 48.25/48.60 Inuse: 1204
% 48.25/48.60 Deleted: 612
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 217619
% 48.25/48.60 Kept: 64794
% 48.25/48.60 Inuse: 1208
% 48.25/48.60 Deleted: 612
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying clauses:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 225165
% 48.25/48.60 Kept: 66808
% 48.25/48.60 Inuse: 1222
% 48.25/48.60 Deleted: 1264
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 236893
% 48.25/48.60 Kept: 70002
% 48.25/48.60 Inuse: 1233
% 48.25/48.60 Deleted: 1264
% 48.25/48.60 Deletedinuse: 3
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 243721
% 48.25/48.60 Kept: 72271
% 48.25/48.60 Inuse: 1263
% 48.25/48.60 Deleted: 1265
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 249049
% 48.25/48.60 Kept: 74276
% 48.25/48.60 Inuse: 1283
% 48.25/48.60 Deleted: 1265
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 256467
% 48.25/48.60 Kept: 76727
% 48.25/48.60 Inuse: 1303
% 48.25/48.60 Deleted: 1265
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 263369
% 48.25/48.60 Kept: 78741
% 48.25/48.60 Inuse: 1322
% 48.25/48.60 Deleted: 1265
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 271293
% 48.25/48.60 Kept: 81038
% 48.25/48.60 Inuse: 1338
% 48.25/48.60 Deleted: 1265
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 276750
% 48.25/48.60 Kept: 83051
% 48.25/48.60 Inuse: 1359
% 48.25/48.60 Deleted: 1265
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying clauses:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 283472
% 48.25/48.60 Kept: 85422
% 48.25/48.60 Inuse: 1378
% 48.25/48.60 Deleted: 1642
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 291280
% 48.25/48.60 Kept: 87572
% 48.25/48.60 Inuse: 1413
% 48.25/48.60 Deleted: 1642
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 301011
% 48.25/48.60 Kept: 89943
% 48.25/48.60 Inuse: 1453
% 48.25/48.60 Deleted: 1642
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 309905
% 48.25/48.60 Kept: 91948
% 48.25/48.60 Inuse: 1487
% 48.25/48.60 Deleted: 1642
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 317443
% 48.25/48.60 Kept: 93956
% 48.25/48.60 Inuse: 1516
% 48.25/48.60 Deleted: 1642
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 339384
% 48.25/48.60 Kept: 97431
% 48.25/48.60 Inuse: 1543
% 48.25/48.60 Deleted: 1642
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60
% 48.25/48.60 Intermediate Status:
% 48.25/48.60 Generated: 346495
% 48.25/48.60 Kept: 99442
% 48.25/48.60 Inuse: 1570
% 48.25/48.60 Deleted: 1642
% 48.25/48.60 Deletedinuse: 4
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 48.25/48.60 Done
% 48.25/48.60
% 48.25/48.60 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 353658
% 132.80/133.22 Kept: 101688
% 132.80/133.22 Inuse: 1588
% 132.80/133.22 Deleted: 1642
% 132.80/133.22 Deletedinuse: 4
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 362036
% 132.80/133.22 Kept: 104062
% 132.80/133.22 Inuse: 1613
% 132.80/133.22 Deleted: 1642
% 132.80/133.22 Deletedinuse: 4
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying clauses:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 376177
% 132.80/133.22 Kept: 107382
% 132.80/133.22 Inuse: 1638
% 132.80/133.22 Deleted: 2005
% 132.80/133.22 Deletedinuse: 4
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 385468
% 132.80/133.22 Kept: 109485
% 132.80/133.22 Inuse: 1678
% 132.80/133.22 Deleted: 2005
% 132.80/133.22 Deletedinuse: 4
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 393320
% 132.80/133.22 Kept: 111557
% 132.80/133.22 Inuse: 1708
% 132.80/133.22 Deleted: 2005
% 132.80/133.22 Deletedinuse: 4
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 401314
% 132.80/133.22 Kept: 113570
% 132.80/133.22 Inuse: 1730
% 132.80/133.22 Deleted: 2007
% 132.80/133.22 Deletedinuse: 5
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 408939
% 132.80/133.22 Kept: 115596
% 132.80/133.22 Inuse: 1758
% 132.80/133.22 Deleted: 2007
% 132.80/133.22 Deletedinuse: 5
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 416490
% 132.80/133.22 Kept: 117627
% 132.80/133.22 Inuse: 1762
% 132.80/133.22 Deleted: 2007
% 132.80/133.22 Deletedinuse: 5
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 424128
% 132.80/133.22 Kept: 119717
% 132.80/133.22 Inuse: 1767
% 132.80/133.22 Deleted: 2010
% 132.80/133.22 Deletedinuse: 8
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 431189
% 132.80/133.22 Kept: 121989
% 132.80/133.22 Inuse: 1787
% 132.80/133.22 Deleted: 2010
% 132.80/133.22 Deletedinuse: 8
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 439638
% 132.80/133.22 Kept: 124016
% 132.80/133.22 Inuse: 1816
% 132.80/133.22 Deleted: 2010
% 132.80/133.22 Deletedinuse: 8
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying clauses:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 448471
% 132.80/133.22 Kept: 126035
% 132.80/133.22 Inuse: 1841
% 132.80/133.22 Deleted: 2869
% 132.80/133.22 Deletedinuse: 8
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 455853
% 132.80/133.22 Kept: 128038
% 132.80/133.22 Inuse: 1867
% 132.80/133.22 Deleted: 2869
% 132.80/133.22 Deletedinuse: 8
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 464382
% 132.80/133.22 Kept: 130160
% 132.80/133.22 Inuse: 1897
% 132.80/133.22 Deleted: 2870
% 132.80/133.22 Deletedinuse: 9
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 471270
% 132.80/133.22 Kept: 132164
% 132.80/133.22 Inuse: 1913
% 132.80/133.22 Deleted: 2870
% 132.80/133.22 Deletedinuse: 9
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 478365
% 132.80/133.22 Kept: 134264
% 132.80/133.22 Inuse: 1927
% 132.80/133.22 Deleted: 2870
% 132.80/133.22 Deletedinuse: 9
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 487184
% 132.80/133.22 Kept: 136672
% 132.80/133.22 Inuse: 1947
% 132.80/133.22 Deleted: 2870
% 132.80/133.22 Deletedinuse: 9
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 501470
% 132.80/133.22 Kept: 140277
% 132.80/133.22 Inuse: 1962
% 132.80/133.22 Deleted: 2870
% 132.80/133.22 Deletedinuse: 9
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 508656
% 132.80/133.22 Kept: 142284
% 132.80/133.22 Inuse: 1982
% 132.80/133.22 Deleted: 2870
% 132.80/133.22 Deletedinuse: 9
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 517054
% 132.80/133.22 Kept: 144579
% 132.80/133.22 Inuse: 2002
% 132.80/133.22 Deleted: 2870
% 132.80/133.22 Deletedinuse: 9
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying clauses:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 524546
% 132.80/133.22 Kept: 146590
% 132.80/133.22 Inuse: 2021
% 132.80/133.22 Deleted: 3319
% 132.80/133.22 Deletedinuse: 9
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 532658
% 132.80/133.22 Kept: 148856
% 132.80/133.22 Inuse: 2042
% 132.80/133.22 Deleted: 3319
% 132.80/133.22 Deletedinuse: 9
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 540683
% 132.80/133.22 Kept: 150859
% 132.80/133.22 Inuse: 2065
% 132.80/133.22 Deleted: 3322
% 132.80/133.22 Deletedinuse: 12
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 555479
% 132.80/133.22 Kept: 153090
% 132.80/133.22 Inuse: 2081
% 132.80/133.22 Deleted: 3323
% 132.80/133.22 Deletedinuse: 12
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22 Resimplifying inuse:
% 132.80/133.22 Done
% 132.80/133.22
% 132.80/133.22
% 132.80/133.22 Intermediate Status:
% 132.80/133.22 Generated: 563687
% 132.80/133.22 Kept: 155289
% 224.80/225.22 Inuse: 2106
% 224.80/225.22 Deleted: 3323
% 224.80/225.22 Deletedinuse: 12
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 577826
% 224.80/225.22 Kept: 158191
% 224.80/225.22 Inuse: 2116
% 224.80/225.22 Deleted: 3323
% 224.80/225.22 Deletedinuse: 12
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 588205
% 224.80/225.22 Kept: 160231
% 224.80/225.22 Inuse: 2131
% 224.80/225.22 Deleted: 3323
% 224.80/225.22 Deletedinuse: 12
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 630052
% 224.80/225.22 Kept: 163748
% 224.80/225.22 Inuse: 2141
% 224.80/225.22 Deleted: 3323
% 224.80/225.22 Deletedinuse: 12
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 668501
% 224.80/225.22 Kept: 166473
% 224.80/225.22 Inuse: 2146
% 224.80/225.22 Deleted: 3323
% 224.80/225.22 Deletedinuse: 12
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying clauses:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 676231
% 224.80/225.22 Kept: 168560
% 224.80/225.22 Inuse: 2169
% 224.80/225.22 Deleted: 3979
% 224.80/225.22 Deletedinuse: 12
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 690020
% 224.80/225.22 Kept: 171549
% 224.80/225.22 Inuse: 2179
% 224.80/225.22 Deleted: 3980
% 224.80/225.22 Deletedinuse: 13
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 715929
% 224.80/225.22 Kept: 173983
% 224.80/225.22 Inuse: 2188
% 224.80/225.22 Deleted: 3982
% 224.80/225.22 Deletedinuse: 14
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 729251
% 224.80/225.22 Kept: 177285
% 224.80/225.22 Inuse: 2198
% 224.80/225.22 Deleted: 3983
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 766455
% 224.80/225.22 Kept: 182471
% 224.80/225.22 Inuse: 2203
% 224.80/225.22 Deleted: 3983
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 791916
% 224.80/225.22 Kept: 186485
% 224.80/225.22 Inuse: 2223
% 224.80/225.22 Deleted: 3983
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying clauses:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 804385
% 224.80/225.22 Kept: 189228
% 224.80/225.22 Inuse: 2228
% 224.80/225.22 Deleted: 4167
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 816987
% 224.80/225.22 Kept: 192058
% 224.80/225.22 Inuse: 2233
% 224.80/225.22 Deleted: 4167
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 829582
% 224.80/225.22 Kept: 194892
% 224.80/225.22 Inuse: 2238
% 224.80/225.22 Deleted: 4167
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 859679
% 224.80/225.22 Kept: 199832
% 224.80/225.22 Inuse: 2243
% 224.80/225.22 Deleted: 4167
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 903951
% 224.80/225.22 Kept: 205869
% 224.80/225.22 Inuse: 2253
% 224.80/225.22 Deleted: 4167
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying clauses:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 909908
% 224.80/225.22 Kept: 208573
% 224.80/225.22 Inuse: 2263
% 224.80/225.22 Deleted: 4216
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 915760
% 224.80/225.22 Kept: 211254
% 224.80/225.22 Inuse: 2273
% 224.80/225.22 Deleted: 4216
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 921984
% 224.80/225.22 Kept: 213805
% 224.80/225.22 Inuse: 2283
% 224.80/225.22 Deleted: 4216
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 927669
% 224.80/225.22 Kept: 216373
% 224.80/225.22 Inuse: 2293
% 224.80/225.22 Deleted: 4216
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 933601
% 224.80/225.22 Kept: 218677
% 224.80/225.22 Inuse: 2308
% 224.80/225.22 Deleted: 4216
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 940611
% 224.80/225.22 Kept: 220818
% 224.80/225.22 Inuse: 2328
% 224.80/225.22 Deleted: 4216
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 972739
% 224.80/225.22 Kept: 224799
% 224.80/225.22 Inuse: 2347
% 224.80/225.22 Deleted: 4217
% 224.80/225.22 Deletedinuse: 15
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 982400
% 224.80/225.22 Kept: 227039
% 224.80/225.22 Inuse: 2377
% 224.80/225.22 Deleted: 4218
% 224.80/225.22 Deletedinuse: 16
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying clauses:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22 Resimplifying inuse:
% 224.80/225.22 Done
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 990932
% 224.80/225.22 Kept: 229321
% 224.80/225.22 Inuse: 2392
% 224.80/225.22 Deleted: 4335
% 224.80/225.22 Deletedinuse: 16
% 224.80/225.22
% 224.80/225.22
% 224.80/225.22 Intermediate Status:
% 224.80/225.22 Generated: 1001514
% 224.80/225.22 Kept: 231367
% 224.80/225.22 Inuse: 2395
% 224.80/225.22 Deleted:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------