TSTP Solution File: SWV713-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV713-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 16:28:00 EDT 2022
% Result : Timeout 300.06s 300.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV713-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 22:29:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.00/1.43 *** allocated 10000 integers for termspace/termends
% 1.00/1.43 *** allocated 10000 integers for clauses
% 1.00/1.43 *** allocated 10000 integers for justifications
% 1.00/1.43 *** allocated 15000 integers for termspace/termends
% 1.00/1.43 *** allocated 22500 integers for termspace/termends
% 1.00/1.43 *** allocated 33750 integers for termspace/termends
% 1.00/1.43 Bliksem 1.12
% 1.00/1.43
% 1.00/1.43
% 1.00/1.43 Automatic Strategy Selection
% 1.00/1.43
% 1.00/1.43 Clauses:
% 1.00/1.43 [
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.00/1.43 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.43 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.43 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.43 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.00/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.00/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( X
% 1.00/1.43 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), Z, 'tc_nat' ),
% 1.00/1.43 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.00/1.43 ), 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.43 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.43 , X ), W, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.43 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.43 , X ), T, X ), W, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.43 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.43 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.43 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.43 , X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.43 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.43 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.00/1.43 , X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.00/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.43 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.00/1.43 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.00/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.43 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.43 , X ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.43 , X ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.43 , Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( X
% 1.00/1.43 , 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat'
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.43 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.43 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.43 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.43 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.00/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.43 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.43 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.43 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.00/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.00/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.00/1.43 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.43 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.43 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.43 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.43 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.43 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.43 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.00/1.43 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.43 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.43 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.43 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 1.00/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.00/1.43 X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.43 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 1.00/1.43 , X, 'tc_nat' ), X ) ],
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.00/1.43 ), 'tc_nat' ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.00/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.43 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.43 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.43 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.00/1.43 ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.43 ), X ), Y ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.43 Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.43 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.43 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.00/1.43 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.43 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.00/1.43 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.43 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.00/1.43 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.43 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.43 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.00/1.43 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.00/1.43 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.43 , T, X ), X ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.43 'tc_nat' ) ), =( Y, Z ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 1.00/1.43 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.43 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.43 , T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.00/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.00/1.43 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 Y, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.43 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.43 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.43 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.43 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 1.00/1.43 ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), X ),
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( U, Z,
% 1.00/1.43 'tc_nat' ), X ), X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'( Y, T, X
% 1.00/1.43 ), 'c_Power_Opower__class_Opower'( Y, U, X ), X ), Z, X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 1.00/1.43 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 1.00/1.43 'tc_nat' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 1.00/1.43 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 1.00/1.43 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.43 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.43 X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.43 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.43 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.43 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.43 Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.00/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.43 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.00/1.43 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.43 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.43 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.43 T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.43 X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.43 T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 T, X ), X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.43 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.43 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.43 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.43 Y, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.00/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.43 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.43 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.00/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.00/1.43 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.43 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.43 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.43 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.43 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.00/1.43 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.43 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.43 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.43 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.43 , X ), X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.43 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 1.00/1.43 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 1.00/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.43 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 X ), T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.43 'tc_nat' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.00/1.43 'tc_nat' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.00/1.43 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.43 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.43 'tc_nat' ) ) ],
% 1.00/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.00/1.43 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.00/1.43 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.43 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.00/1.43 , X ), X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.00/1.43 , X ), X ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.43 ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.43 ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.43 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.43 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ), Y ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ), Y ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.43 ), Y ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.43 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.43 ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.43 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.00/1.43 , X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Z, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.43 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.43 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.00/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.43 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.43 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.00/1.43 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.43 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ =( 'c_Power_Opower__class_Opower'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ) ), X, 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ) ) ) ],
% 1.00/1.43 [ =( 'c_Power_Opower__class_Opower'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ) ), X, 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.43 'tc_nat' ) ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.00/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.00/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.00/1.43 X ), X ) ) ],
% 1.00/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.43 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.43 Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 1.00/1.43 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.43 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.00/1.43 ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.43 ,
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.00/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.00/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.43 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.43 X ) ) ), =( Z, T ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.43 X ) ) ), =( Z, T ) ],
% 1.00/1.43 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.43 X ) ) ), =( Y, T ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.00/1.44 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.00/1.44 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.44 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.00/1.44 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.00/1.44 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.00/1.44 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.00/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.44 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 1.00/1.44 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.44 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.44 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.00/1.44 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.44 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.44 , X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.44 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.44 , X ), W, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.00/1.44 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.00/1.44 W, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.44 , X ), T, X ), W, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.44 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.00/1.44 W, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.44 , X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.44 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.00/1.44 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls',
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.44 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.44 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.44 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.00/1.44 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.44 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.00/1.44 ), Y ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ), =( Y, Z ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ), =( Y, Z ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.44 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.44 , U, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.44 ), Y ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.00/1.44 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.00/1.44 X ), Y ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.00/1.44 X ), Y ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Y, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Y, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.00/1.44 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.44 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Z, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.44 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Z, T, 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.00/1.44 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.44 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.00/1.44 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.44 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.44 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.44 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.00/1.44 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.00/1.44 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.00/1.44 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.00/1.44 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.44 ), 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.44 ), 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.44 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.44 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.44 , X ), W, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.00/1.44 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.00/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.00/1.44 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.44 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.44 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.44 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.44 Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ =( 'c_Power_Opower__class_Opower'( X, Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, 'c_Power_Opower__class_Opower'( X,
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.00/1.44 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.44 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.00/1.44 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), Z, X ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.44 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.44 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.00/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.00/1.44 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.44 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.44 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.44 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.00/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.00/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.00/1.44 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.00/1.44 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.00/1.44 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.00/1.44 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 1.00/1.44 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.00/1.44 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'c_Suc'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.00/1.44 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'( Y
% 1.00/1.44 ), 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Suc'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.44 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat'
% 1.00/1.44 ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'(
% 1.00/1.44 X ), Y, 'tc_nat' ), 'c_Suc'( Z ), 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.44 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.00/1.44 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Suc'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Y, 'tc_nat' ) ), X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Suc'( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.00/1.44 ), X ), X ) ) ],
% 1.00/1.44 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_nat' ), 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' ) ), =( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.00/1.44 , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.00/1.44 ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.00/1.44 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.00/1.44 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( 'c_Suc'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ) ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Y, Z, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ) ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Y, 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.00/1.44 , X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 1.00/1.44 ],
% 1.00/1.44 [ =( 'c_Suc'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' )
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' )
% 1.00/1.44 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_Suc'( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.00/1.44 ), X, 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.00/1.44 ), X, 'tc_nat' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y,
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.00/1.44 ), Y, X ) ), =( Z, T ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.44 ) ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit1'( Y ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), 'c_Int_Oiszero'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.44 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.44 ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y
% 1.00/1.44 ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.44 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.00/1.44 Y ), X ), X ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.44 , X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.00/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.00/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.00/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.00/1.44 , T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.00/1.44 ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X,
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.00/1.44 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.00/1.44 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Suc'( 'c_Suc'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.00/1.44 [ =( 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.44 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.00/1.44 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.00/1.44 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_nat' ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ =( X, 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.44 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_Suc'( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 'tc_nat' ), 'tc_nat' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.44 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.44 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.44 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.44 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.00/1.44 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.00/1.44 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.44 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.44 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.44 X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.00/1.44 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.00/1.44 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.00/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.00/1.44 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.44 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.44 ) ), X, 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.00/1.44 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.00/1.44 ) ), X, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.00/1.44 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.44 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.44 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.44 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( =( 'c_Power_Opower__class_Opower'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.44 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.00/1.44 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.44 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.44 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.00/1.44 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.44 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.00/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.00/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.00/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.00/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.44 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.00/1.44 ), X ), Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.44 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.44 , T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.44 , T, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.44 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.44 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.44 Y, X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.00/1.44 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.44 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 Z, 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), Z, X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.44 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.00/1.44 , 'tc_nat' ), 'tc_nat' ) ],
% 1.00/1.44 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.00/1.44 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.44 'tc_nat' ), 'c_Power_Opower__class_Opower'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.44 'tc_nat' ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, X, 'tc_nat'
% 1.00/1.44 ), 'c_Power_Opower__class_Opower'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.00/1.44 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.44 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.44 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.00/1.44 , X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 1.00/1.44 , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.44 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.44 ), Y ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.44 ), Y ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.00/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.00/1.44 , X ), Y ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.00/1.44 , X ), Y ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 X ), T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.44 X ), T, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y,
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 1.00/1.44 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.00/1.44 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.00/1.44 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.00/1.44 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.00/1.44 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.00/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.00/1.44 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X
% 1.00/1.44 , 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat'
% 1.00/1.44 ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.00/1.44 , 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.00/1.44 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Power_Opower__class_Opower'( X
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ), 'tc_nat'
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Power_Opower__class_Opower'( Y
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), 'tc_nat'
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.00/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.44 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_Power_Opower__class_Opower'( Y
% 1.00/1.44 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.00/1.44 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.00/1.44 ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.44 ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =(
% 1.00/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.00/1.44 X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'v_i____', 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Suc'( 'v_ka____' ), 'tc_nat' ), 'tc_nat'
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.44 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.44 , Y, X ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.44 , X ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_nat' ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.00/1.44 ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.00/1.44 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.00/1.44 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.00/1.44 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.00/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.44 ), =( Z, Y ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.44 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.00/1.44 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.00/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.44 , T, X ) ) ), =( Z, T ) ],
% 1.00/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.44 , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.00/1.44 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.00/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.00/1.44 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.44 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.00/1.44 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'v_i____',
% 1.00/1.44 'c_Power_Opower__class_Opower'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'v_ka____',
% 1.00/1.44 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ 'c_HOL_Oord__class_Oless'( 'v_i____', 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Suc'( 'v_ka____' ), 'tc_nat' ), 'tc_nat'
% 1.00/1.44 ) ],
% 1.00/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( 'v_i____'
% 1.00/1.44 , 'c_Power_Opower__class_Opower'( 'c_Int_Onumber__class_Onumber__of'(
% 1.00/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'v_ka____',
% 1.00/1.44 'tc_nat' ), 'tc_nat' ), 'c_Power_Opower__class_Opower'(
% 1.00/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.44 'c_Int_OPls' ) ), 'tc_nat' ), 'v_ka____', 'tc_nat' ), 'tc_nat' ) ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.00/1.44 ],
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.00/1.44 ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.00/1.44 ],
% 1.00/1.44 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.00/1.44 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.00/1.44 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.00/1.44 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.00/1.44 ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.00/1.44 ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.00/1.44 ,
% 1.00/1.44 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.00/1.44 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.00/1.45 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ]
% 1.00/1.45 ] .
% 1.00/1.45
% 1.00/1.45
% 1.00/1.45 percentage equality = 0.191469, percentage horn = 0.826693
% 1.00/1.45 This is a problem with some equality
% 1.00/1.45
% 1.00/1.45
% 1.00/1.45
% 1.00/1.45 Options Used:
% 1.00/1.45
% 1.00/1.45 useres = 1
% 1.00/1.45 useparamod = 1
% 1.00/1.45 useeqrefl = 1
% 1.00/1.45 useeqfact = 1
% 1.00/1.45 usefactor = 1
% 1.00/1.45 usesimpsplitting = 0
% 1.00/1.45 usesimpdemod = 5
% 1.00/1.45 usesimpres = 3
% 1.00/1.45
% 1.00/1.45 resimpinuse = 1000
% 1.00/1.45 resimpclauses = 20000
% 1.00/1.45 substype = eqrewr
% 1.00/1.45 backwardsubs = 1
% 1.00/1.45 selectoldest = 5
% 1.00/1.45
% 1.00/1.45 litorderings [0] = split
% 1.00/1.45 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.45
% 1.00/1.45 termordering = kbo
% 1.00/1.45
% 1.00/1.45 litapriori = 0
% 1.00/1.45 termapriori = 1
% 1.00/1.45 litaposteriori = 0
% 1.00/1.45 termaposteriori = 0
% 1.00/1.45 demodaposteriori = 0
% 1.00/1.45 ordereqreflfact = 0
% 1.00/1.45
% 1.00/1.45 litselect = negord
% 1.00/1.45
% 1.00/1.45 maxweight = 15
% 1.00/1.45 maxdepth = 30000
% 1.00/1.45 maxlength = 115
% 1.00/1.45 maxnrvars = 195
% 1.00/1.45 excuselevel = 1
% 1.00/1.45 increasemaxweight = 1
% 1.00/1.45
% 1.00/1.45 maxselected = 10000000
% 1.00/1.45 maxnrclauses = 10000000
% 1.00/1.45
% 1.00/1.45 showgenerated = 0
% 1.00/1.45 showkept = 0
% 1.00/1.45 showselected = 0
% 1.00/1.45 showdeleted = 0
% 1.00/1.45 showresimp = 1
% 1.00/1.45 showstatus = 2000
% 1.00/1.45
% 1.00/1.45 prologoutput = 1
% 1.00/1.45 nrgoals = 5000000
% 1.00/1.45 totalproof = 1
% 1.00/1.45
% 1.00/1.45 Symbols occurring in the translation:
% 1.00/1.45
% 1.00/1.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.45 . [1, 2] (w:1, o:126, a:1, s:1, b:0),
% 1.00/1.45 ! [4, 1] (w:0, o:52, a:1, s:1, b:0),
% 1.00/1.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Oordered__semiring__strict' [40, 1] (w:1, o:
% 1.00/1.45 62, a:1, s:1, b:0),
% 1.00/1.45 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.00/1.45 'c_HOL_Otimes__class_Otimes' [44, 3] (w:1, o:157, a:1, s:1, b:0),
% 1.00/1.45 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:158, a:1, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Oordered__ring__strict' [46, 1] (w:1, o:61
% 1.00/1.45 , a:1, s:1, b:0),
% 1.00/1.45 'tc_nat' [47, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.00/1.45 'class_OrderedGroup_Olordered__ab__group__add' [50, 1] (w:1, o:65, a:
% 1.00/1.45 1, s:1, b:0),
% 1.00/1.45 'c_HOL_Oplus__class_Oplus' [51, 3] (w:1, o:159, a:1, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Oordered__idom' [52, 1] (w:1, o:66, a:1, s:1
% 1.00/1.45 , b:0),
% 1.00/1.45 'class_Ring__and__Field_Oring__no__zero__divisors' [53, 1] (w:1, o:67
% 1.00/1.45 , a:1, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Ono__zero__divisors' [54, 1] (w:1, o:60, a:1
% 1.00/1.45 , s:1, b:0),
% 1.00/1.45 'class_OrderedGroup_Opordered__comm__monoid__add' [55, 1] (w:1, o:69
% 1.00/1.45 , a:1, s:1, b:0),
% 1.00/1.45 'c_lessequals' [58, 3] (w:1, o:160, a:1, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Ofield' [59, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Odivision__by__zero' [60, 1] (w:1, o:74, a:1
% 1.00/1.45 , s:1, b:0),
% 1.00/1.45 'class_Int_Onumber' [61, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.00/1.45 'c_Int_Onumber__class_Onumber__of' [63, 2] (w:1, o:154, a:1, s:1, b:0
% 1.00/1.45 ),
% 1.00/1.45 'c_HOL_Oinverse__class_Odivide' [64, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.00/1.45
% 1.00/1.45 'class_OrderedGroup_Opordered__ab__group__add__abs' [65, 1] (w:1, o:
% 1.00/1.45 76, a:1, s:1, b:0),
% 1.00/1.45 'c_HOL_Oabs__class_Oabs' [66, 2] (w:1, o:151, a:1, s:1, b:0),
% 1.00/1.45 'c_HOL_Ouminus__class_Ouminus' [67, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Oabs__if' [68, 1] (w:1, o:77, a:1, s:1, b:0)
% 1.00/1.45 ,
% 1.00/1.45 'class_Orderings_Olinorder' [69, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.00/1.45 'class_OrderedGroup_Olordered__ab__group__add__abs' [70, 1] (w:1, o:
% 1.00/1.45 79, a:1, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Oidom' [71, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Oordered__semiring' [73, 1] (w:1, o:81, a:1
% 1.00/1.45 , s:1, b:0),
% 1.00/1.45 'class_Ring__and__Field_Oordered__field' [74, 1] (w:1, o:82, a:1, s:1
% 1.00/1.45 , b:0),
% 1.00/1.45 'class_Int_Onumber__ring' [76, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.00/1.45 'class_Nat_Osemiring__char__0' [77, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.00/1.45 'c_Nat_Osemiring__1__class_Oof__nat' [78, 2] (w:1, o:155, a:1, s:1
% 1.00/1.45 , b:0),
% 1.00/1.45 'c_Suc' [79, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.00/1.45 'c_HOL_Oinverse__class_Oinverse' [80, 2] (w:1, o:153, a:1, s:1, b:0)
% 1.00/1.45 ,
% 1.00/1.45 'c_HOL_Oone__class_Oone' [81, 1] (w:1, o:85, a:1, s:1, b:0),
% 6.07/6.47 'c_Int_OPls' [85, 0] (w:1, o:36, a:1, s:1, b:0),
% 6.07/6.47 'tc_Int_Oint' [86, 0] (w:1, o:37, a:1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Opordered__ring' [87, 1] (w:1, o:88, a:1, s:1
% 6.07/6.47 , b:0),
% 6.07/6.47 'c_HOL_Ominus__class_Ominus' [90, 3] (w:1, o:162, a:1, s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [91, 1]
% 6.07/6.47 (w:1, o:89, a:1, s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Ocomm__monoid__add' [92, 1] (w:1, o:90, a:1, s:1
% 6.07/6.47 , b:0),
% 6.07/6.47 'class_Ring__and__Field_Oring' [93, 1] (w:1, o:91, a:1, s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Opordered__ab__group__add' [95, 1] (w:1, o:92, a:
% 6.07/6.47 1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Olordered__ring' [96, 1] (w:1, o:93, a:1, s:1
% 6.07/6.47 , b:0),
% 6.07/6.47 'c_Power_Opower__class_Opower' [97, 3] (w:1, o:163, a:1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Osemiring__0' [98, 1] (w:1, o:96, a:1, s:1
% 6.07/6.47 , b:0),
% 6.07/6.47 'class_Power_Opower' [99, 1] (w:1, o:111, a:1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Ozero__neq__one' [100, 1] (w:1, o:112, a:1
% 6.07/6.47 , s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Ogroup__add' [101, 1] (w:1, o:97, a:1, s:1, b:0)
% 6.07/6.47 ,
% 6.07/6.47 'class_Ring__and__Field_Ocomm__semiring__1' [102, 1] (w:1, o:72, a:1
% 6.07/6.47 , s:1, b:0),
% 6.07/6.47 'class_Lattices_Oboolean__algebra' [107, 1] (w:1, o:113, a:1, s:1, b:
% 6.07/6.47 0),
% 6.07/6.47 'class_Orderings_Oorder' [108, 1] (w:1, o:98, a:1, s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Opordered__ab__semigroup__add' [109, 1] (w:1, o:
% 6.07/6.47 99, a:1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Opordered__ring__abs' [110, 1] (w:1, o:114
% 6.07/6.47 , a:1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Oordered__semidom' [111, 1] (w:1, o:86, a:1
% 6.07/6.47 , s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Oab__semigroup__idem__mult' [112, 1] (w:1, o:100
% 6.07/6.47 , a:1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Omult__zero' [114, 1] (w:1, o:57, a:1, s:1
% 6.07/6.47 , b:0),
% 6.07/6.47 'class_RealVector_Oreal__normed__field' [115, 1] (w:1, o:115, a:1, s:
% 6.07/6.47 1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Omult__mono1' [117, 1] (w:1, o:58, a:1, s:1
% 6.07/6.47 , b:0),
% 6.07/6.47 'class_Ring__and__Field_Omult__mono' [118, 1] (w:1, o:59, a:1, s:1
% 6.07/6.47 , b:0),
% 6.07/6.47 'class_Ring__and__Field_Odivision__ring' [120, 1] (w:1, o:116, a:1
% 6.07/6.47 , s:1, b:0),
% 6.07/6.47 'c_Int_OBit0' [121, 1] (w:1, o:117, a:1, s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Omonoid__mult' [122, 1] (w:1, o:101, a:1, s:1, b:
% 6.07/6.47 0),
% 6.07/6.47 'class_OrderedGroup_Ocomm__monoid__mult' [123, 1] (w:1, o:102, a:1
% 6.07/6.47 , s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Oab__group__add' [125, 1] (w:1, o:103, a:1, s:1
% 6.07/6.47 , b:0),
% 6.07/6.47 'class_OrderedGroup_Oab__semigroup__add' [126, 1] (w:1, o:104, a:1
% 6.07/6.47 , s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Osemiring' [127, 1] (w:1, o:118, a:1, s:1, b:
% 6.07/6.47 0),
% 6.07/6.47 'class_RealVector_Oreal__normed__algebra' [128, 1] (w:1, o:119, a:1
% 6.07/6.47 , s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Opordered__cancel__semiring' [131, 1] (w:1
% 6.07/6.47 , o:120, a:1, s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Oab__semigroup__mult' [132, 1] (w:1, o:105, a:1
% 6.07/6.47 , s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Ocomm__semiring' [137, 1] (w:1, o:73, a:1, s:
% 6.07/6.47 1, b:0),
% 6.07/6.47 'class_OrderedGroup_Oordered__ab__group__add' [138, 1] (w:1, o:68, a:
% 6.07/6.47 1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Opordered__semiring' [139, 1] (w:1, o:121, a:
% 6.07/6.47 1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Oordered__comm__semiring__strict' [140, 1]
% 6.07/6.47 (w:1, o:87, a:1, s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Omonoid__add' [141, 1] (w:1, o:106, a:1, s:1, b:0
% 6.07/6.47 ),
% 6.07/6.47 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [142, 1]
% 6.07/6.47 (w:1, o:107, a:1, s:1, b:0),
% 6.07/6.47 'class_Orderings_Opreorder' [143, 1] (w:1, o:108, a:1, s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Ocancel__ab__semigroup__add' [144, 1] (w:1, o:109
% 6.07/6.47 , a:1, s:1, b:0),
% 6.07/6.47 'class_OrderedGroup_Ocancel__semigroup__add' [145, 1] (w:1, o:110, a:
% 6.07/6.47 1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Osemiring__1' [146, 1] (w:1, o:122, a:1, s:1
% 6.07/6.47 , b:0),
% 6.07/6.47 'class_RealVector_Oreal__field' [148, 1] (w:1, o:123, a:1, s:1, b:0)
% 6.07/6.47 ,
% 6.07/6.47 'c_Int_OBit1' [149, 1] (w:1, o:124, a:1, s:1, b:0),
% 6.07/6.47 'class_Ring__and__Field_Oring__1__no__zero__divisors' [155, 1] (w:1
% 30.46/30.86 , o:94, a:1, s:1, b:0),
% 30.46/30.86 'class_Ring__and__Field_Oring__1' [156, 1] (w:1, o:95, a:1, s:1, b:0)
% 30.46/30.86 ,
% 30.46/30.86 'c_Int_Oiszero' [158, 2] (w:1, o:156, a:1, s:1, b:0),
% 30.46/30.86 'class_Ring__and__Field_Ocomm__ring__1' [159, 1] (w:1, o:71, a:1, s:1
% 30.46/30.86 , b:0),
% 30.46/30.86 'class_Int_Oring__char__0' [161, 1] (w:1, o:125, a:1, s:1, b:0),
% 30.46/30.86 'v_i____' [162, 0] (w:1, o:50, a:1, s:1, b:0),
% 30.46/30.86 'v_ka____' [163, 0] (w:1, o:51, a:1, s:1, b:0).
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Starting Search:
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 5569
% 30.46/30.86 Kept: 2016
% 30.46/30.86 Inuse: 66
% 30.46/30.86 Deleted: 0
% 30.46/30.86 Deletedinuse: 0
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 11738
% 30.46/30.86 Kept: 4065
% 30.46/30.86 Inuse: 146
% 30.46/30.86 Deleted: 5
% 30.46/30.86 Deletedinuse: 0
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 19211
% 30.46/30.86 Kept: 6069
% 30.46/30.86 Inuse: 243
% 30.46/30.86 Deleted: 10
% 30.46/30.86 Deletedinuse: 0
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 31414
% 30.46/30.86 Kept: 8539
% 30.46/30.86 Inuse: 368
% 30.46/30.86 Deleted: 18
% 30.46/30.86 Deletedinuse: 0
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 38843
% 30.46/30.86 Kept: 10596
% 30.46/30.86 Inuse: 395
% 30.46/30.86 Deleted: 21
% 30.46/30.86 Deletedinuse: 0
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 50234
% 30.46/30.86 Kept: 13131
% 30.46/30.86 Inuse: 424
% 30.46/30.86 Deleted: 22
% 30.46/30.86 Deletedinuse: 0
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 60745
% 30.46/30.86 Kept: 15203
% 30.46/30.86 Inuse: 454
% 30.46/30.86 Deleted: 22
% 30.46/30.86 Deletedinuse: 0
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 72788
% 30.46/30.86 Kept: 17797
% 30.46/30.86 Inuse: 498
% 30.46/30.86 Deleted: 22
% 30.46/30.86 Deletedinuse: 0
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 82704
% 30.46/30.86 Kept: 19803
% 30.46/30.86 Inuse: 569
% 30.46/30.86 Deleted: 27
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying clauses:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 93697
% 30.46/30.86 Kept: 21815
% 30.46/30.86 Inuse: 605
% 30.46/30.86 Deleted: 248
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 101642
% 30.46/30.86 Kept: 24246
% 30.46/30.86 Inuse: 612
% 30.46/30.86 Deleted: 248
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 117980
% 30.46/30.86 Kept: 26662
% 30.46/30.86 Inuse: 643
% 30.46/30.86 Deleted: 248
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 127450
% 30.46/30.86 Kept: 28675
% 30.46/30.86 Inuse: 675
% 30.46/30.86 Deleted: 248
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 145505
% 30.46/30.86 Kept: 30834
% 30.46/30.86 Inuse: 688
% 30.46/30.86 Deleted: 248
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 156219
% 30.46/30.86 Kept: 32864
% 30.46/30.86 Inuse: 713
% 30.46/30.86 Deleted: 248
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 169170
% 30.46/30.86 Kept: 34935
% 30.46/30.86 Inuse: 753
% 30.46/30.86 Deleted: 248
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 175925
% 30.46/30.86 Kept: 37354
% 30.46/30.86 Inuse: 773
% 30.46/30.86 Deleted: 248
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 184100
% 30.46/30.86 Kept: 39694
% 30.46/30.86 Inuse: 796
% 30.46/30.86 Deleted: 248
% 30.46/30.86 Deletedinuse: 1
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying clauses:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 200061
% 30.46/30.86 Kept: 41736
% 30.46/30.86 Inuse: 853
% 30.46/30.86 Deleted: 498
% 30.46/30.86 Deletedinuse: 2
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 213026
% 30.46/30.86 Kept: 43767
% 30.46/30.86 Inuse: 883
% 30.46/30.86 Deleted: 498
% 30.46/30.86 Deletedinuse: 2
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 221424
% 30.46/30.86 Kept: 46584
% 30.46/30.86 Inuse: 898
% 30.46/30.86 Deleted: 498
% 30.46/30.86 Deletedinuse: 2
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 226402
% 30.46/30.86 Kept: 48785
% 30.46/30.86 Inuse: 903
% 30.46/30.86 Deleted: 498
% 30.46/30.86 Deletedinuse: 2
% 30.46/30.86
% 30.46/30.86 Resimplifying inuse:
% 30.46/30.86 Done
% 30.46/30.86
% 30.46/30.86
% 30.46/30.86 Intermediate Status:
% 30.46/30.86 Generated: 233301
% 30.46/30.86 Kept: 50912
% 79.73/80.10 Inuse: 915
% 79.73/80.10 Deleted: 498
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 253652
% 79.73/80.10 Kept: 53689
% 79.73/80.10 Inuse: 943
% 79.73/80.10 Deleted: 498
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 262755
% 79.73/80.10 Kept: 55936
% 79.73/80.10 Inuse: 973
% 79.73/80.10 Deleted: 498
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 281748
% 79.73/80.10 Kept: 57949
% 79.73/80.10 Inuse: 1015
% 79.73/80.10 Deleted: 498
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 295554
% 79.73/80.10 Kept: 60163
% 79.73/80.10 Inuse: 1028
% 79.73/80.10 Deleted: 498
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying clauses:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 311311
% 79.73/80.10 Kept: 62313
% 79.73/80.10 Inuse: 1053
% 79.73/80.10 Deleted: 760
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 326118
% 79.73/80.10 Kept: 64398
% 79.73/80.10 Inuse: 1078
% 79.73/80.10 Deleted: 760
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 341856
% 79.73/80.10 Kept: 66407
% 79.73/80.10 Inuse: 1112
% 79.73/80.10 Deleted: 760
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 397821
% 79.73/80.10 Kept: 69776
% 79.73/80.10 Inuse: 1128
% 79.73/80.10 Deleted: 760
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 415218
% 79.73/80.10 Kept: 71921
% 79.73/80.10 Inuse: 1143
% 79.73/80.10 Deleted: 760
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 428908
% 79.73/80.10 Kept: 73940
% 79.73/80.10 Inuse: 1173
% 79.73/80.10 Deleted: 760
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 455717
% 79.73/80.10 Kept: 77004
% 79.73/80.10 Inuse: 1188
% 79.73/80.10 Deleted: 760
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 470191
% 79.73/80.10 Kept: 79023
% 79.73/80.10 Inuse: 1224
% 79.73/80.10 Deleted: 760
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying clauses:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 482183
% 79.73/80.10 Kept: 81050
% 79.73/80.10 Inuse: 1253
% 79.73/80.10 Deleted: 1148
% 79.73/80.10 Deletedinuse: 2
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 494717
% 79.73/80.10 Kept: 83105
% 79.73/80.10 Inuse: 1284
% 79.73/80.10 Deleted: 1157
% 79.73/80.10 Deletedinuse: 8
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 507078
% 79.73/80.10 Kept: 85767
% 79.73/80.10 Inuse: 1298
% 79.73/80.10 Deleted: 1161
% 79.73/80.10 Deletedinuse: 11
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 525459
% 79.73/80.10 Kept: 87800
% 79.73/80.10 Inuse: 1303
% 79.73/80.10 Deleted: 1161
% 79.73/80.10 Deletedinuse: 11
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 551542
% 79.73/80.10 Kept: 90329
% 79.73/80.10 Inuse: 1313
% 79.73/80.10 Deleted: 1161
% 79.73/80.10 Deletedinuse: 11
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 568920
% 79.73/80.10 Kept: 93924
% 79.73/80.10 Inuse: 1341
% 79.73/80.10 Deleted: 1161
% 79.73/80.10 Deletedinuse: 11
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 585370
% 79.73/80.10 Kept: 96445
% 79.73/80.10 Inuse: 1348
% 79.73/80.10 Deleted: 1161
% 79.73/80.10 Deletedinuse: 11
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 603819
% 79.73/80.10 Kept: 98916
% 79.73/80.10 Inuse: 1363
% 79.73/80.10 Deleted: 1161
% 79.73/80.10 Deletedinuse: 11
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying clauses:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 624626
% 79.73/80.10 Kept: 100929
% 79.73/80.10 Inuse: 1380
% 79.73/80.10 Deleted: 2188
% 79.73/80.10 Deletedinuse: 11
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 635802
% 79.73/80.10 Kept: 103060
% 79.73/80.10 Inuse: 1403
% 79.73/80.10 Deleted: 2188
% 79.73/80.10 Deletedinuse: 11
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 645845
% 79.73/80.10 Kept: 105183
% 79.73/80.10 Inuse: 1428
% 79.73/80.10 Deleted: 2188
% 79.73/80.10 Deletedinuse: 11
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10 Resimplifying inuse:
% 79.73/80.10 Done
% 79.73/80.10
% 79.73/80.10
% 79.73/80.10 Intermediate Status:
% 79.73/80.10 Generated: 665048
% 79.73/80.10 Kept: 108401
% 128.53/129.01 Inuse: 1468
% 128.53/129.01 Deleted: 2188
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 677560
% 128.53/129.01 Kept: 110501
% 128.53/129.01 Inuse: 1483
% 128.53/129.01 Deleted: 2188
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 701474
% 128.53/129.01 Kept: 113090
% 128.53/129.01 Inuse: 1503
% 128.53/129.01 Deleted: 2188
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 728837
% 128.53/129.01 Kept: 115492
% 128.53/129.01 Inuse: 1533
% 128.53/129.01 Deleted: 2188
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 739545
% 128.53/129.01 Kept: 117835
% 128.53/129.01 Inuse: 1558
% 128.53/129.01 Deleted: 2188
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 751784
% 128.53/129.01 Kept: 120097
% 128.53/129.01 Inuse: 1583
% 128.53/129.01 Deleted: 2188
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying clauses:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 771799
% 128.53/129.01 Kept: 122116
% 128.53/129.01 Inuse: 1626
% 128.53/129.01 Deleted: 2530
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 784425
% 128.53/129.01 Kept: 124235
% 128.53/129.01 Inuse: 1643
% 128.53/129.01 Deleted: 2530
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 800601
% 128.53/129.01 Kept: 126240
% 128.53/129.01 Inuse: 1672
% 128.53/129.01 Deleted: 2530
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 814332
% 128.53/129.01 Kept: 128249
% 128.53/129.01 Inuse: 1700
% 128.53/129.01 Deleted: 2530
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 823515
% 128.53/129.01 Kept: 130260
% 128.53/129.01 Inuse: 1718
% 128.53/129.01 Deleted: 2530
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 834485
% 128.53/129.01 Kept: 132435
% 128.53/129.01 Inuse: 1742
% 128.53/129.01 Deleted: 2531
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 847765
% 128.53/129.01 Kept: 134857
% 128.53/129.01 Inuse: 1767
% 128.53/129.01 Deleted: 2531
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 874071
% 128.53/129.01 Kept: 139019
% 128.53/129.01 Inuse: 1786
% 128.53/129.01 Deleted: 2532
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 891392
% 128.53/129.01 Kept: 141381
% 128.53/129.01 Inuse: 1790
% 128.53/129.01 Deleted: 2533
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying clauses:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 903441
% 128.53/129.01 Kept: 144860
% 128.53/129.01 Inuse: 1798
% 128.53/129.01 Deleted: 3449
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 934753
% 128.53/129.01 Kept: 147636
% 128.53/129.01 Inuse: 1800
% 128.53/129.01 Deleted: 3449
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 956912
% 128.53/129.01 Kept: 149788
% 128.53/129.01 Inuse: 1830
% 128.53/129.01 Deleted: 3449
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 991134
% 128.53/129.01 Kept: 152653
% 128.53/129.01 Inuse: 1835
% 128.53/129.01 Deleted: 3449
% 128.53/129.01 Deletedinuse: 11
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 1022409
% 128.53/129.01 Kept: 154670
% 128.53/129.01 Inuse: 1858
% 128.53/129.01 Deleted: 3462
% 128.53/129.01 Deletedinuse: 16
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 1035971
% 128.53/129.01 Kept: 157005
% 128.53/129.01 Inuse: 1878
% 128.53/129.01 Deleted: 3466
% 128.53/129.01 Deletedinuse: 16
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 1060277
% 128.53/129.01 Kept: 159110
% 128.53/129.01 Inuse: 1898
% 128.53/129.01 Deleted: 3468
% 128.53/129.01 Deletedinuse: 18
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 1096385
% 128.53/129.01 Kept: 162494
% 128.53/129.01 Inuse: 1908
% 128.53/129.01 Deleted: 3470
% 128.53/129.01 Deletedinuse: 20
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying clauses:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 1118103
% 128.53/129.01 Kept: 164696
% 128.53/129.01 Inuse: 1918
% 128.53/129.01 Deleted: 4837
% 128.53/129.01 Deletedinuse: 20
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01 Resimplifying inuse:
% 128.53/129.01 Done
% 128.53/129.01
% 128.53/129.01
% 128.53/129.01 Intermediate Status:
% 128.53/129.01 Generated: 1131490
% 128.53/129.01 Kept: 166714
% 279.27/279.81 Inuse: 1939
% 279.27/279.81 Deleted: 4837
% 279.27/279.81 Deletedinuse: 20
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1164679
% 279.27/279.81 Kept: 169580
% 279.27/279.81 Inuse: 1943
% 279.27/279.81 Deleted: 4837
% 279.27/279.81 Deletedinuse: 20
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1184050
% 279.27/279.81 Kept: 172327
% 279.27/279.81 Inuse: 1958
% 279.27/279.81 Deleted: 4837
% 279.27/279.81 Deletedinuse: 20
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1197185
% 279.27/279.81 Kept: 174967
% 279.27/279.81 Inuse: 1978
% 279.27/279.81 Deleted: 4837
% 279.27/279.81 Deletedinuse: 20
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1209273
% 279.27/279.81 Kept: 176975
% 279.27/279.81 Inuse: 1999
% 279.27/279.81 Deleted: 4837
% 279.27/279.81 Deletedinuse: 20
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1225202
% 279.27/279.81 Kept: 178980
% 279.27/279.81 Inuse: 2009
% 279.27/279.81 Deleted: 4839
% 279.27/279.81 Deletedinuse: 22
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1251693
% 279.27/279.81 Kept: 182199
% 279.27/279.81 Inuse: 2018
% 279.27/279.81 Deleted: 4839
% 279.27/279.81 Deletedinuse: 22
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying clauses:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1267384
% 279.27/279.81 Kept: 184508
% 279.27/279.81 Inuse: 2028
% 279.27/279.81 Deleted: 5291
% 279.27/279.81 Deletedinuse: 22
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1277213
% 279.27/279.81 Kept: 186578
% 279.27/279.81 Inuse: 2043
% 279.27/279.81 Deleted: 5291
% 279.27/279.81 Deletedinuse: 22
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1289529
% 279.27/279.81 Kept: 188591
% 279.27/279.81 Inuse: 2062
% 279.27/279.81 Deleted: 5291
% 279.27/279.81 Deletedinuse: 22
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1302221
% 279.27/279.81 Kept: 191012
% 279.27/279.81 Inuse: 2083
% 279.27/279.81 Deleted: 5291
% 279.27/279.81 Deletedinuse: 22
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1310893
% 279.27/279.81 Kept: 193223
% 279.27/279.81 Inuse: 2098
% 279.27/279.81 Deleted: 5291
% 279.27/279.81 Deletedinuse: 22
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81 Resimplifying inuse:
% 279.27/279.81 Done
% 279.27/279.81
% 279.27/279.81
% 279.27/279.81 Intermediate Status:
% 279.27/279.81 Generated: 1323773
% 279.27/279.81 Kept: 195517
% 279.27/279.81 Inuse: 2118
% 279.27/279.81 Deleted: 5291
% 279.27/279.82 Deletedinuse: 22
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1336186
% 279.27/279.82 Kept: 197645
% 279.27/279.82 Inuse: 2138
% 279.27/279.82 Deleted: 5291
% 279.27/279.82 Deletedinuse: 22
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1349113
% 279.27/279.82 Kept: 199648
% 279.27/279.82 Inuse: 2159
% 279.27/279.82 Deleted: 5291
% 279.27/279.82 Deletedinuse: 22
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1361041
% 279.27/279.82 Kept: 201671
% 279.27/279.82 Inuse: 2179
% 279.27/279.82 Deleted: 5291
% 279.27/279.82 Deletedinuse: 22
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1370936
% 279.27/279.82 Kept: 203679
% 279.27/279.82 Inuse: 2199
% 279.27/279.82 Deleted: 5308
% 279.27/279.82 Deletedinuse: 37
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying clauses:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1377220
% 279.27/279.82 Kept: 205721
% 279.27/279.82 Inuse: 2206
% 279.27/279.82 Deleted: 7439
% 279.27/279.82 Deletedinuse: 37
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1388186
% 279.27/279.82 Kept: 208295
% 279.27/279.82 Inuse: 2221
% 279.27/279.82 Deleted: 7443
% 279.27/279.82 Deletedinuse: 41
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1402807
% 279.27/279.82 Kept: 210357
% 279.27/279.82 Inuse: 2241
% 279.27/279.82 Deleted: 7443
% 279.27/279.82 Deletedinuse: 41
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1417154
% 279.27/279.82 Kept: 212598
% 279.27/279.82 Inuse: 2256
% 279.27/279.82 Deleted: 7443
% 279.27/279.82 Deletedinuse: 41
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1432448
% 279.27/279.82 Kept: 214613
% 279.27/279.82 Inuse: 2275
% 279.27/279.82 Deleted: 7443
% 279.27/279.82 Deletedinuse: 41
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1447732
% 279.27/279.82 Kept: 216651
% 279.27/279.82 Inuse: 2293
% 279.27/279.82 Deleted: 7443
% 279.27/279.82 Deletedinuse: 41
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1490068
% 279.27/279.82 Kept: 222890
% 279.27/279.82 Inuse: 2326
% 279.27/279.82 Deleted: 7443
% 279.27/279.82 Deletedinuse: 41
% 279.27/279.82
% 279.27/279.82 Resimplifying inuse:
% 279.27/279.82 Done
% 279.27/279.82
% 279.27/279.82
% 279.27/279.82 Intermediate Status:
% 279.27/279.82 Generated: 1513539
% 279.27/279.82 Kept: 227748
% 279.27/279.82 Inuse: 2331
% 279.27/279.82 DeleteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------