TSTP Solution File: ALG356-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG356-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 : Thu Jul 14 12:10:28 EDT 2022
% Result : Timeout 285.87s 286.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG356-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Thu Jun 9 04:20:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.01/1.41 *** allocated 10000 integers for termspace/termends
% 1.01/1.41 *** allocated 10000 integers for clauses
% 1.01/1.41 *** allocated 10000 integers for justifications
% 1.01/1.41 *** allocated 15000 integers for termspace/termends
% 1.01/1.41 *** allocated 22500 integers for termspace/termends
% 1.01/1.41 *** allocated 33750 integers for termspace/termends
% 1.01/1.41 Bliksem 1.12
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41 Automatic Strategy Selection
% 1.01/1.41
% 1.01/1.41 Clauses:
% 1.01/1.41 [
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.01/1.41 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.01/1.41 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.41 Y, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.41 Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.41 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.01/1.41 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.41 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.41 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.41 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.41 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.01/1.41 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 1.01/1.41 Z, 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.01/1.41 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.41 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_Complex_ORe'( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex'
% 1.01/1.41 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_Complex_ORe'( X ),
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.41 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.41 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.41 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.41 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.01/1.41 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 1.01/1.41 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.01/1.41 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.41 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.01/1.41 , X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.01/1.41 , X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.41 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.01/1.41 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.41 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 , Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.41 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.41 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.41 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.41 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.01/1.41 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.01/1.41 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.41 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.41 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 1.01/1.41 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.01/1.41 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.41 , X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.41 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ) ) ), =( Y, T ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.01/1.41 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.41 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.41 ), =( Z, Y ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.41 , X ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.41 , X ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.01/1.41 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.01/1.41 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.01/1.41 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.01/1.41 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.41 , X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.41 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.41 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.01/1.41 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.41 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.41 , X ), W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.41 , X ), T, X ), W, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.41 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.41 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.41 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.01/1.41 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.01/1.41 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.01/1.41 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.01/1.41 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.01/1.41 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.01/1.41 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.01/1.41 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.41 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ =( 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_RealVector_Oof__real'( X,
% 1.01/1.41 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.41 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.41 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.01/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.01/1.41 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.01/1.41 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.41 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.41 , X ), W, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.41 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.01/1.41 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.41 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.41 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.41 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.01/1.41 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , Z, X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.01/1.41 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.41 , X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.41 , X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Y, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.41 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.01/1.41 ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.01/1.41 ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.01/1.41 ), X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 1.01/1.41 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.01/1.41 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.01/1.41 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.01/1.41 [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 1.01/1.41 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.01/1.41 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.41 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.41 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ =( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex' ),
% 1.01/1.41 'c_Complex_Ocomplex_OComplex'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , T, X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , T, X ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.41 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.01/1.41 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.01/1.41 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.41 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.01/1.42 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.42 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.42 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.42 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.42 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.01/1.42 W, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.42 , X ), T, X ), W, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.01/1.42 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.01/1.42 W, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.42 , X ), W, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.42 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.42 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.42 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.42 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.42 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.42 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.42 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.42 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.01/1.42 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.01/1.42 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.01/1.42 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.42 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ =( 'c_Complex_ORe'( 'c_Complex_Ocnj'( X ) ), 'c_Complex_ORe'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.42 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.42 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42 , U, X ), X ) ) ],
% 1.01/1.42 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.01/1.42 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.01/1.42 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.42 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.42 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.42 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.42 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.42 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.01/1.42 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.01/1.42 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.42 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 1.01/1.42 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.01/1.42 ), Y ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.42 , Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ), Y ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ), Y ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.42 ), Y ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.42 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.01/1.42 ), Y, X ) ), =( Z, T ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.01/1.42 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.42 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.01/1.42 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.01/1.42 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.42 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.42 Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.01/1.42 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.42 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.42 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.42 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.42 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Y, X ), X ) ) ],
% 1.01/1.42 [ =( 'c_Complex_ORe'( 'c_Complex_Ocomplex_OComplex'( X, Y ) ), X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.42 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.42 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( =( 'v_b', 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.42 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ =( 'c_Complex_Ocnj'( 'c_RealVector_Oof__real'( X,
% 1.01/1.42 'tc_Complex_Ocomplex' ) ), 'c_RealVector_Oof__real'( X,
% 1.01/1.42 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.42 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.42 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 1.01/1.42 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.01/1.42 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.01/1.42 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.01/1.42 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.01/1.42 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 1.01/1.42 [ =( 'c_Complex_ORe'( 'c_RealVector_Oof__real'( X, 'tc_Complex_Ocomplex'
% 1.01/1.42 ) ), X ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.01/1.42 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 Y, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.01/1.42 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.01/1.42 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.42 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 1.01/1.42 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.01/1.42 X ) ],
% 1.01/1.42 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_RealVector_Oof__real'(
% 1.01/1.42 Z, 'tc_Complex_Ocomplex' ) ) ), =( X, Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.42 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.42 Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.01/1.42 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.42 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.42 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.01/1.42 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 1.01/1.42 =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.01/1.42 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 1.01/1.42 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.01/1.42 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.42 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.01/1.42 'c_RealVector_Oof__real'( 'v_r', X ),
% 1.01/1.42 'c_RealVector_OscaleR__class_OscaleR'( 'v_r', 'c_HOL_Oone__class_Oone'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.01/1.42 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.42 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_Complex_Ocomplex' ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( X, 'c_RealVector_Oof__real'(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.01/1.42 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.01/1.42 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.42 Z, Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.42 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'(
% 1.01/1.42 'c_RealVector_Onorm__class_Onorm'( 'v_b', 'tc_Complex_Ocomplex' ),
% 1.01/1.42 'tc_Complex_Ocomplex' ), 'v_b', 'tc_Complex_Ocomplex' ),
% 1.01/1.42 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
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% 1.01/1.42 [ 'class_Int_Onumber'( 'tc_nat' ) ],
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% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
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% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.42 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
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% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
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% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
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% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
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% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
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% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
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% 1.01/1.42 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
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% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
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% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
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% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
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% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
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% 1.01/1.42 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
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% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
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% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
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% 1.01/1.42 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
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% 1.01/1.42 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
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% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
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% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
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% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
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% 1.01/1.42 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
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% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
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% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
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% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
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% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
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% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
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% 1.01/1.42 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
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% 1.01/1.42 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.01/1.42 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 1.01/1.42 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 1.01/1.42 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 1.01/1.42 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 1.01/1.42 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.42 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.42 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Int_Oring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.42 [ 'class_Int_Onumber'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ]
% 1.01/1.42 ] .
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 percentage equality = 0.180551, percentage horn = 0.844732
% 1.01/1.42 This is a problem with some equality
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Options Used:
% 1.01/1.42
% 1.01/1.42 useres = 1
% 1.01/1.42 useparamod = 1
% 1.01/1.42 useeqrefl = 1
% 1.01/1.42 useeqfact = 1
% 1.01/1.42 usefactor = 1
% 1.01/1.42 usesimpsplitting = 0
% 1.01/1.42 usesimpdemod = 5
% 1.01/1.42 usesimpres = 3
% 1.01/1.42
% 1.01/1.42 resimpinuse = 1000
% 1.01/1.42 resimpclauses = 20000
% 1.01/1.42 substype = eqrewr
% 1.01/1.42 backwardsubs = 1
% 1.01/1.42 selectoldest = 5
% 1.01/1.42
% 1.01/1.42 litorderings [0] = split
% 1.01/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.42
% 1.01/1.42 termordering = kbo
% 1.01/1.42
% 1.01/1.42 litapriori = 0
% 1.01/1.42 termapriori = 1
% 1.01/1.42 litaposteriori = 0
% 1.01/1.42 termaposteriori = 0
% 1.01/1.42 demodaposteriori = 0
% 1.01/1.42 ordereqreflfact = 0
% 1.01/1.42
% 1.01/1.42 litselect = negord
% 1.01/1.42
% 1.01/1.42 maxweight = 15
% 1.01/1.42 maxdepth = 30000
% 1.01/1.42 maxlength = 115
% 1.01/1.42 maxnrvars = 195
% 1.01/1.42 excuselevel = 1
% 1.01/1.42 increasemaxweight = 1
% 1.01/1.42
% 1.01/1.42 maxselected = 10000000
% 1.01/1.42 maxnrclauses = 10000000
% 1.01/1.42
% 1.01/1.42 showgenerated = 0
% 1.01/1.42 showkept = 0
% 1.01/1.42 showselected = 0
% 1.01/1.42 showdeleted = 0
% 1.01/1.42 showresimp = 1
% 1.01/1.42 showstatus = 2000
% 1.01/1.42
% 1.01/1.42 prologoutput = 1
% 1.01/1.42 nrgoals = 5000000
% 1.01/1.42 totalproof = 1
% 1.01/1.42
% 1.01/1.42 Symbols occurring in the translation:
% 1.01/1.42
% 1.01/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.42 . [1, 2] (w:1, o:142, a:1, s:1, b:0),
% 1.01/1.42 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 1.01/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Odvd' [40, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Ocomm__ring' [41, 1] (w:1, o:61, a:1, s:1, b:
% 1.01/1.42 0),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes' [46, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.01/1.42 'c_HOL_Ominus__class_Ominus' [47, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus' [49, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.01/1.42 'c_Ring__and__Field_Odvd__class_Odvd' [50, 3] (w:1, o:180, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'class_Orderings_Oorder' [51, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.01/1.42 'c_HOL_Oord__class_Oless' [53, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.01/1.42 'c_lessequals' [54, 3] (w:1, o:181, a:1, s:1, b:0),
% 1.01/1.42 'class_Orderings_Olinorder' [57, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Oordered__field' [58, 1] (w:1, o:72, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero' [59, 1] (w:1, o:73, a:1
% 1.01/1.42 , s:1, b:0),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide' [61, 3] (w:1, o:182, a:1, s:1, b:0),
% 1.01/1.42
% 1.01/1.42 'c_HOL_Ozero__class_Ozero' [62, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.01/1.42 'class_Ring__and__Field_Odivision__ring' [63, 1] (w:1, o:75, a:1, s:1
% 1.01/1.42 , b:0),
% 1.01/1.42 'c_Power_Opower__class_Opower' [65, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.35/1.73 'c_HOL_Oinverse__class_Oinverse' [66, 2] (w:1, o:167, a:1, s:1, b:0)
% 1.35/1.73 ,
% 1.35/1.73 'c_HOL_Ouminus__class_Ouminus' [67, 2] (w:1, o:168, a:1, s:1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Opordered__ring' [68, 1] (w:1, o:82, a:1, s:1
% 1.35/1.73 , b:0),
% 1.35/1.73 'class_Ring__and__Field_Oordered__ring__strict' [69, 1] (w:1, o:76
% 1.35/1.73 , a:1, s:1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Opordered__cancel__semiring' [70, 1] (w:1, o:
% 1.35/1.73 83, a:1, s:1, b:0),
% 1.35/1.73 'class_Int_Onumber__ring' [71, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.35/1.73 'c_HOL_Oone__class_Oone' [72, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.35/1.73 'class_OrderedGroup_Opordered__ab__group__add__abs' [73, 1] (w:1, o:
% 1.35/1.73 87, a:1, s:1, b:0),
% 1.35/1.73 'c_HOL_Oabs__class_Oabs' [74, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.35/1.73 'class_Divides_Oring__div' [75, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.35/1.73 'c_Divides_Odiv__class_Odiv' [76, 3] (w:1, o:184, a:1, s:1, b:0),
% 1.35/1.73 'class_Int_Onumber' [77, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.35/1.73 'c_Int_Onumber__class_Onumber__of' [79, 2] (w:1, o:171, a:1, s:1, b:0
% 1.35/1.73 ),
% 1.35/1.73 'class_OrderedGroup_Oab__semigroup__mult' [80, 1] (w:1, o:90, a:1, s:
% 1.35/1.73 1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Ocomm__semiring__1' [81, 1] (w:1, o:64, a:1
% 1.35/1.73 , s:1, b:0),
% 1.35/1.73 'tc_RealDef_Oreal' [88, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.35/1.73 'class_RealVector_Oreal__normed__algebra' [91, 1] (w:1, o:91, a:1, s:
% 1.35/1.73 1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Ocomm__semiring' [96, 1] (w:1, o:65, a:1, s:1
% 1.35/1.73 , b:0),
% 1.35/1.73 'class_OrderedGroup_Olordered__ab__group__add' [97, 1] (w:1, o:92, a:
% 1.35/1.73 1, s:1, b:0),
% 1.35/1.73 'class_OrderedGroup_Oordered__ab__group__add' [98, 1] (w:1, o:86, a:1
% 1.35/1.73 , s:1, b:0),
% 1.35/1.73 'class_OrderedGroup_Ocomm__monoid__mult' [99, 1] (w:1, o:93, a:1, s:1
% 1.35/1.73 , b:0),
% 1.35/1.73 'class_OrderedGroup_Opordered__ab__group__add' [101, 1] (w:1, o:94
% 1.35/1.73 , a:1, s:1, b:0),
% 1.35/1.73 'class_RealVector_Oreal__algebra__1' [104, 1] (w:1, o:95, a:1, s:1
% 1.35/1.73 , b:0),
% 1.35/1.73 'c_RealVector_Oof__real' [105, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.35/1.73 'c_Complex_Ocomplex_OComplex' [106, 2] (w:1, o:174, a:1, s:1, b:0),
% 1.35/1.73 'tc_Complex_Ocomplex' [107, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Oordered__semiring__strict' [108, 1] (w:1, o:
% 1.35/1.73 77, a:1, s:1, b:0),
% 1.35/1.73 'class_OrderedGroup_Oab__semigroup__idem__mult' [109, 1] (w:1, o:96
% 1.35/1.73 , a:1, s:1, b:0),
% 1.35/1.73 'c_HOL_Osgn__class_Osgn' [110, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.35/1.73 'c_Complex_ORe' [111, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.35/1.73 'c_RealVector_Onorm__class_Onorm' [112, 2] (w:1, o:172, a:1, s:1, b:0
% 1.35/1.73 ),
% 1.35/1.73 'class_Ring__and__Field_Oidom' [113, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Omult__mono' [115, 1] (w:1, o:99, a:1, s:1
% 1.35/1.73 , b:0),
% 1.35/1.73 'class_Ring__and__Field_Omult__mono1' [116, 1] (w:1, o:100, a:1, s:1
% 1.35/1.73 , b:0),
% 1.35/1.73 'class_Ring__and__Field_Oordered__semidom' [117, 1] (w:1, o:78, a:1
% 1.35/1.73 , s:1, b:0),
% 1.35/1.73 'class_RealVector_Oreal__normed__field' [122, 1] (w:1, o:101, a:1, s:
% 1.35/1.73 1, b:0),
% 1.35/1.73 'c_NthRoot_Osqrt' [124, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.35/1.73 'class_OrderedGroup_Ogroup__add' [125, 1] (w:1, o:103, a:1, s:1, b:0)
% 1.35/1.73 ,
% 1.35/1.73 'class_Ring__and__Field_Oordered__idom' [126, 1] (w:1, o:79, a:1, s:1
% 1.35/1.73 , b:0),
% 1.35/1.73 'class_Divides_Osemiring__div' [127, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.35/1.73
% 1.35/1.73 'class_Ring__and__Field_Ofield' [128, 1] (w:1, o:105, a:1, s:1, b:0)
% 1.35/1.73 ,
% 1.35/1.73 'class_Ring__and__Field_Oring__1__no__zero__divisors' [129, 1] (w:1
% 1.35/1.73 , o:106, a:1, s:1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Ozero__neq__one' [130, 1] (w:1, o:107, a:1
% 1.35/1.73 , s:1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Ono__zero__divisors' [131, 1] (w:1, o:71, a:1
% 1.35/1.73 , s:1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Omult__zero' [132, 1] (w:1, o:70, a:1, s:1
% 1.35/1.73 , b:0),
% 1.35/1.73 'class_Power_Opower' [133, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Oring' [134, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.35/1.73
% 1.35/1.73 'class_RealVector_Oreal__normed__vector' [135, 1] (w:1, o:124, a:1
% 1.35/1.73 , s:1, b:0),
% 1.35/1.73 'class_Ring__and__Field_Opordered__ring__abs' [136, 1] (w:1, o:125
% 1.35/1.73 , a:1, s:1, b:0),
% 1.35/1.73 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [137, 1]
% 8.03/8.38 (w:1, o:108, a:1, s:1, b:0),
% 8.03/8.38 'class_OrderedGroup_Opordered__ab__semigroup__add' [138, 1] (w:1, o:
% 8.03/8.38 109, a:1, s:1, b:0),
% 8.03/8.38 'class_Ring__and__Field_Opordered__semiring' [140, 1] (w:1, o:126, a:
% 8.03/8.38 1, s:1, b:0),
% 8.03/8.38 'class_OrderedGroup_Oab__group__add' [141, 1] (w:1, o:110, a:1, s:1
% 8.03/8.38 , b:0),
% 8.03/8.38 'class_Ring__and__Field_Ocomm__ring__1' [142, 1] (w:1, o:62, a:1, s:1
% 8.03/8.38 , b:0),
% 8.03/8.38 'class_OrderedGroup_Ocancel__ab__semigroup__add' [143, 1] (w:1, o:111
% 8.03/8.38 , a:1, s:1, b:0),
% 8.03/8.38 'class_OrderedGroup_Ocancel__semigroup__add' [144, 1] (w:1, o:112, a:
% 8.03/8.38 1, s:1, b:0),
% 8.03/8.38 'class_OrderedGroup_Opordered__comm__monoid__add' [145, 1] (w:1, o:
% 8.03/8.38 113, a:1, s:1, b:0),
% 8.03/8.38 'class_RealVector_Oreal__vector' [146, 1] (w:1, o:127, a:1, s:1, b:0)
% 8.03/8.38 ,
% 8.03/8.38 'c_RealVector_OscaleR__class_OscaleR' [147, 3] (w:1, o:185, a:1, s:1
% 8.03/8.38 , b:0),
% 8.03/8.38 'class_Lattices_Oboolean__algebra' [148, 1] (w:1, o:128, a:1, s:1, b:
% 8.03/8.38 0),
% 8.03/8.38 'class_OrderedGroup_Olordered__ab__group__add__abs' [149, 1] (w:1, o:
% 8.03/8.38 114, a:1, s:1, b:0),
% 8.03/8.38 'class_Ring__and__Field_Osgn__if' [150, 1] (w:1, o:131, a:1, s:1, b:0
% 8.03/8.38 ),
% 8.03/8.38 'class_Ring__and__Field_Oring__no__zero__divisors' [151, 1] (w:1, o:
% 8.03/8.38 129, a:1, s:1, b:0),
% 8.03/8.38 'class_Ring__and__Field_Oabs__if' [152, 1] (w:1, o:132, a:1, s:1, b:0
% 8.03/8.38 ),
% 8.03/8.38 'class_Ring__and__Field_Oordered__semiring' [153, 1] (w:1, o:80, a:1
% 8.03/8.38 , s:1, b:0),
% 8.03/8.38 'class_RealVector_Oreal__algebra' [156, 1] (w:1, o:133, a:1, s:1, b:0
% 8.03/8.38 ),
% 8.03/8.38 'class_RealVector_Oreal__field' [158, 1] (w:1, o:134, a:1, s:1, b:0)
% 8.03/8.38 ,
% 8.03/8.38 'class_OrderedGroup_Ocomm__monoid__add' [159, 1] (w:1, o:115, a:1, s:
% 8.03/8.38 1, b:0),
% 8.03/8.38 'c_Complex_Ocnj' [160, 1] (w:1, o:135, a:1, s:1, b:0),
% 8.03/8.38 'class_Ring__and__Field_Oring__1' [162, 1] (w:1, o:130, a:1, s:1, b:0
% 8.03/8.38 ),
% 8.03/8.38 'class_RealVector_Oreal__normed__div__algebra' [163, 1] (w:1, o:136
% 8.03/8.38 , a:1, s:1, b:0),
% 8.03/8.38 'class_OrderedGroup_Omonoid__mult' [164, 1] (w:1, o:116, a:1, s:1, b:
% 8.03/8.38 0),
% 8.03/8.38 'class_Ring__and__Field_Olordered__ring' [165, 1] (w:1, o:69, a:1, s:
% 8.03/8.38 1, b:0),
% 8.03/8.38 'class_Orderings_Opreorder' [166, 1] (w:1, o:117, a:1, s:1, b:0),
% 8.03/8.38 'class_OrderedGroup_Oab__semigroup__add' [167, 1] (w:1, o:118, a:1
% 8.03/8.38 , s:1, b:0),
% 8.03/8.38 'class_Ring__and__Field_Osemiring' [168, 1] (w:1, o:137, a:1, s:1, b:
% 8.03/8.38 0),
% 8.03/8.38 'class_Int_Oring__char__0' [169, 1] (w:1, o:138, a:1, s:1, b:0),
% 8.03/8.38 'class_Ring__and__Field_Osemiring__1' [170, 1] (w:1, o:139, a:1, s:1
% 8.03/8.38 , b:0),
% 8.03/8.38 'c_Int_Oiszero' [171, 2] (w:1, o:175, a:1, s:1, b:0),
% 8.03/8.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [172, 1]
% 8.03/8.38 (w:1, o:119, a:1, s:1, b:0),
% 8.03/8.38 'class_Ring__and__Field_Oordered__comm__semiring__strict' [173, 1]
% 8.03/8.38 (w:1, o:81, a:1, s:1, b:0),
% 8.03/8.38 'class_Ring__and__Field_Ocomm__semiring__0' [174, 1] (w:1, o:63, a:1
% 8.03/8.38 , s:1, b:0),
% 8.03/8.38 'c_Polynomial_Osmult' [176, 3] (w:1, o:186, a:1, s:1, b:0),
% 8.03/8.38 'class_OrderedGroup_Omonoid__add' [177, 1] (w:1, o:120, a:1, s:1, b:0
% 8.03/8.38 ),
% 8.03/8.38 'v_b' [179, 0] (w:1, o:51, a:1, s:1, b:0),
% 8.03/8.38 'class_RealVector_Oreal__normed__algebra__1' [180, 1] (w:1, o:140, a:
% 8.03/8.38 1, s:1, b:0),
% 8.03/8.38 'v_r' [181, 0] (w:1, o:52, a:1, s:1, b:0),
% 8.03/8.38 'tc_Polynomial_Opoly' [183, 1] (w:1, o:141, a:1, s:1, b:0),
% 8.03/8.38 'class_OrderedGroup_Ocancel__comm__monoid__add' [184, 1] (w:1, o:121
% 8.03/8.38 , a:1, s:1, b:0),
% 8.03/8.38 'tc_Int_Oint' [185, 0] (w:1, o:54, a:1, s:1, b:0),
% 8.03/8.38 'tc_nat' [186, 0] (w:1, o:55, a:1, s:1, b:0).
% 8.03/8.38
% 8.03/8.38
% 8.03/8.38 Starting Search:
% 8.03/8.38
% 8.03/8.38 Resimplifying inuse:
% 8.03/8.38 Done
% 8.03/8.38
% 8.03/8.38
% 8.03/8.38 Intermediate Status:
% 8.03/8.38 Generated: 3111
% 8.03/8.38 Kept: 2000
% 8.03/8.38 Inuse: 123
% 8.03/8.38 Deleted: 2
% 8.03/8.38 Deletedinuse: 0
% 8.03/8.38
% 8.03/8.38 Resimplifying inuse:
% 8.03/8.38 Done
% 8.03/8.38
% 8.03/8.38 Resimplifying inuse:
% 8.03/8.38 Done
% 8.03/8.38
% 8.03/8.38
% 8.03/8.38 Intermediate Status:
% 8.03/8.38 Generated: 13284
% 8.03/8.38 Kept: 4429
% 8.03/8.38 Inuse: 269
% 8.03/8.38 Deleted: 13
% 8.03/8.38 Deletedinuse: 1
% 8.03/8.38
% 8.03/8.38 Resimplifying inuse:
% 8.03/8.38 Done
% 8.03/8.38
% 8.03/8.38 Resimplifying inuse:
% 8.03/8.38 Done
% 8.03/8.38
% 8.03/8.38
% 8.03/8.38 Intermediate Status:
% 8.03/8.38 Generated: 18790
% 8.03/8.38 Kept: 6429
% 8.03/8.38 Inuse: 329
% 8.03/8.38 Deleted: 13
% 8.03/8.38 Deletedinuse: 1
% 8.03/8.38
% 8.03/8.38 Resimplifying inuse:
% 8.03/8.38 Done
% 8.03/8.38
% 8.03/8.38 Resimplifying inuse:
% 8.03/8.38 Done
% 8.03/8.38
% 8.03/8.38
% 8.03/8.38 Intermediate Status:
% 8.03/8.38 Generated: 23329
% 8.03/8.38 Kept: 8531
% 8.03/8.38 Inuse: 359
% 26.30/26.66 Deleted: 13
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 31701
% 26.30/26.66 Kept: 10539
% 26.30/26.66 Inuse: 395
% 26.30/26.66 Deleted: 13
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 38452
% 26.30/26.66 Kept: 12583
% 26.30/26.66 Inuse: 409
% 26.30/26.66 Deleted: 13
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 48330
% 26.30/26.66 Kept: 14614
% 26.30/26.66 Inuse: 421
% 26.30/26.66 Deleted: 13
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 54101
% 26.30/26.66 Kept: 16619
% 26.30/26.66 Inuse: 475
% 26.30/26.66 Deleted: 14
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 59857
% 26.30/26.66 Kept: 18655
% 26.30/26.66 Inuse: 529
% 26.30/26.66 Deleted: 20
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying clauses:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 64793
% 26.30/26.66 Kept: 20712
% 26.30/26.66 Inuse: 542
% 26.30/26.66 Deleted: 194
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 70850
% 26.30/26.66 Kept: 22778
% 26.30/26.66 Inuse: 587
% 26.30/26.66 Deleted: 194
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 76164
% 26.30/26.66 Kept: 24781
% 26.30/26.66 Inuse: 629
% 26.30/26.66 Deleted: 194
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 84352
% 26.30/26.66 Kept: 26794
% 26.30/26.66 Inuse: 648
% 26.30/26.66 Deleted: 194
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 102657
% 26.30/26.66 Kept: 29901
% 26.30/26.66 Inuse: 662
% 26.30/26.66 Deleted: 194
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 108990
% 26.30/26.66 Kept: 31937
% 26.30/26.66 Inuse: 692
% 26.30/26.66 Deleted: 194
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 115367
% 26.30/26.66 Kept: 33983
% 26.30/26.66 Inuse: 702
% 26.30/26.66 Deleted: 194
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 128655
% 26.30/26.66 Kept: 36668
% 26.30/26.66 Inuse: 722
% 26.30/26.66 Deleted: 194
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 138756
% 26.30/26.66 Kept: 38686
% 26.30/26.66 Inuse: 758
% 26.30/26.66 Deleted: 194
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying clauses:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 146935
% 26.30/26.66 Kept: 40728
% 26.30/26.66 Inuse: 787
% 26.30/26.66 Deleted: 362
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 169201
% 26.30/26.66 Kept: 44393
% 26.30/26.66 Inuse: 827
% 26.30/26.66 Deleted: 362
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 194965
% 26.30/26.66 Kept: 47798
% 26.30/26.66 Inuse: 852
% 26.30/26.66 Deleted: 362
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 205087
% 26.30/26.66 Kept: 49826
% 26.30/26.66 Inuse: 899
% 26.30/26.66 Deleted: 362
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 213409
% 26.30/26.66 Kept: 52009
% 26.30/26.66 Inuse: 932
% 26.30/26.66 Deleted: 362
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 231015
% 26.30/26.66 Kept: 55125
% 26.30/26.66 Inuse: 956
% 26.30/26.66 Deleted: 363
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 246630
% 26.30/26.66 Kept: 58537
% 26.30/26.66 Inuse: 965
% 26.30/26.66 Deleted: 364
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 271859
% 26.30/26.66 Kept: 61995
% 26.30/26.66 Inuse: 995
% 26.30/26.66 Deleted: 364
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying clauses:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 279535
% 26.30/26.66 Kept: 65308
% 26.30/26.66 Inuse: 1010
% 26.30/26.66 Deleted: 473
% 26.30/26.66 Deletedinuse: 1
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66 Resimplifying inuse:
% 26.30/26.66 Done
% 26.30/26.66
% 26.30/26.66
% 26.30/26.66 Intermediate Status:
% 26.30/26.66 Generated: 287054
% 26.30/26.66 Kept: 67550
% 26.30/26.66 Inuse: 1020
% 26.30/26.66 Deleted: 473
% 26.30/26.66 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 300555
% 67.54/67.90 Kept: 70382
% 67.54/67.90 Inuse: 1050
% 67.54/67.90 Deleted: 473
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 317319
% 67.54/67.90 Kept: 73741
% 67.54/67.90 Inuse: 1060
% 67.54/67.90 Deleted: 473
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 327786
% 67.54/67.90 Kept: 76533
% 67.54/67.90 Inuse: 1070
% 67.54/67.90 Deleted: 473
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 338139
% 67.54/67.90 Kept: 79171
% 67.54/67.90 Inuse: 1075
% 67.54/67.90 Deleted: 473
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 353228
% 67.54/67.90 Kept: 83593
% 67.54/67.90 Inuse: 1090
% 67.54/67.90 Deleted: 473
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying clauses:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 366413
% 67.54/67.90 Kept: 87325
% 67.54/67.90 Inuse: 1110
% 67.54/67.90 Deleted: 573
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 382498
% 67.54/67.90 Kept: 90379
% 67.54/67.90 Inuse: 1125
% 67.54/67.90 Deleted: 573
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 393291
% 67.54/67.90 Kept: 92480
% 67.54/67.90 Inuse: 1150
% 67.54/67.90 Deleted: 573
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 408260
% 67.54/67.90 Kept: 95332
% 67.54/67.90 Inuse: 1170
% 67.54/67.90 Deleted: 573
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 418360
% 67.54/67.90 Kept: 97374
% 67.54/67.90 Inuse: 1192
% 67.54/67.90 Deleted: 573
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 429316
% 67.54/67.90 Kept: 99539
% 67.54/67.90 Inuse: 1215
% 67.54/67.90 Deleted: 573
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 449868
% 67.54/67.90 Kept: 102175
% 67.54/67.90 Inuse: 1225
% 67.54/67.90 Deleted: 573
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 468465
% 67.54/67.90 Kept: 104361
% 67.54/67.90 Inuse: 1230
% 67.54/67.90 Deleted: 573
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying clauses:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 482458
% 67.54/67.90 Kept: 106374
% 67.54/67.90 Inuse: 1246
% 67.54/67.90 Deleted: 642
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 499000
% 67.54/67.90 Kept: 109819
% 67.54/67.90 Inuse: 1255
% 67.54/67.90 Deleted: 642
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 512903
% 67.54/67.90 Kept: 111819
% 67.54/67.90 Inuse: 1297
% 67.54/67.90 Deleted: 642
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 537648
% 67.54/67.90 Kept: 114971
% 67.54/67.90 Inuse: 1305
% 67.54/67.90 Deleted: 642
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 545954
% 67.54/67.90 Kept: 117156
% 67.54/67.90 Inuse: 1325
% 67.54/67.90 Deleted: 642
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 554037
% 67.54/67.90 Kept: 119279
% 67.54/67.90 Inuse: 1345
% 67.54/67.90 Deleted: 642
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 561390
% 67.54/67.90 Kept: 121397
% 67.54/67.90 Inuse: 1350
% 67.54/67.90 Deleted: 642
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 571432
% 67.54/67.90 Kept: 123824
% 67.54/67.90 Inuse: 1375
% 67.54/67.90 Deleted: 642
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying clauses:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 578949
% 67.54/67.90 Kept: 126131
% 67.54/67.90 Inuse: 1390
% 67.54/67.90 Deleted: 776
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 588923
% 67.54/67.90 Kept: 128143
% 67.54/67.90 Inuse: 1410
% 67.54/67.90 Deleted: 776
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 616246
% 67.54/67.90 Kept: 131504
% 67.54/67.90 Inuse: 1425
% 67.54/67.90 Deleted: 776
% 67.54/67.90 Deletedinuse: 1
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90 Resimplifying inuse:
% 67.54/67.90 Done
% 67.54/67.90
% 67.54/67.90
% 67.54/67.90 Intermediate Status:
% 67.54/67.90 Generated: 634489
% 67.54/67.90 Kept: 134148
% 67.54/67.90 Inuse: 1455
% 67.54/67.90 Deleted: 776
% 67.54/67.90 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 652293
% 140.87/141.32 Kept: 137028
% 140.87/141.32 Inuse: 1465
% 140.87/141.32 Deleted: 776
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 673125
% 140.87/141.32 Kept: 140109
% 140.87/141.32 Inuse: 1475
% 140.87/141.32 Deleted: 776
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 682664
% 140.87/141.32 Kept: 142254
% 140.87/141.32 Inuse: 1495
% 140.87/141.32 Deleted: 776
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 693737
% 140.87/141.32 Kept: 144317
% 140.87/141.32 Inuse: 1520
% 140.87/141.32 Deleted: 776
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying clauses:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 709414
% 140.87/141.32 Kept: 148034
% 140.87/141.32 Inuse: 1540
% 140.87/141.32 Deleted: 886
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 723384
% 140.87/141.32 Kept: 153797
% 140.87/141.32 Inuse: 1555
% 140.87/141.32 Deleted: 886
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 732680
% 140.87/141.32 Kept: 155806
% 140.87/141.32 Inuse: 1579
% 140.87/141.32 Deleted: 886
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 742968
% 140.87/141.32 Kept: 157885
% 140.87/141.32 Inuse: 1600
% 140.87/141.32 Deleted: 886
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 754799
% 140.87/141.32 Kept: 160035
% 140.87/141.32 Inuse: 1625
% 140.87/141.32 Deleted: 886
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 771258
% 140.87/141.32 Kept: 162367
% 140.87/141.32 Inuse: 1640
% 140.87/141.32 Deleted: 886
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 780816
% 140.87/141.32 Kept: 165460
% 140.87/141.32 Inuse: 1645
% 140.87/141.32 Deleted: 886
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying clauses:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 795827
% 140.87/141.32 Kept: 167464
% 140.87/141.32 Inuse: 1676
% 140.87/141.32 Deleted: 1104
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 807913
% 140.87/141.32 Kept: 169851
% 140.87/141.32 Inuse: 1700
% 140.87/141.32 Deleted: 1104
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 816543
% 140.87/141.32 Kept: 172152
% 140.87/141.32 Inuse: 1720
% 140.87/141.32 Deleted: 1104
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 855270
% 140.87/141.32 Kept: 175629
% 140.87/141.32 Inuse: 1735
% 140.87/141.32 Deleted: 1104
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 890620
% 140.87/141.32 Kept: 178371
% 140.87/141.32 Inuse: 1740
% 140.87/141.32 Deleted: 1104
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 914452
% 140.87/141.32 Kept: 181843
% 140.87/141.32 Inuse: 1750
% 140.87/141.32 Deleted: 1104
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 926777
% 140.87/141.32 Kept: 183881
% 140.87/141.32 Inuse: 1765
% 140.87/141.32 Deleted: 1104
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 947427
% 140.87/141.32 Kept: 189079
% 140.87/141.32 Inuse: 1785
% 140.87/141.32 Deleted: 1104
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying clauses:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 961266
% 140.87/141.32 Kept: 191102
% 140.87/141.32 Inuse: 1806
% 140.87/141.32 Deleted: 1432
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 977462
% 140.87/141.32 Kept: 193732
% 140.87/141.32 Inuse: 1825
% 140.87/141.32 Deleted: 1432
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 996782
% 140.87/141.32 Kept: 196235
% 140.87/141.32 Inuse: 1850
% 140.87/141.32 Deleted: 1432
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 1012525
% 140.87/141.32 Kept: 198331
% 140.87/141.32 Inuse: 1860
% 140.87/141.32 Deleted: 1432
% 140.87/141.32 Deletedinuse: 1
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32 Resimplifying inuse:
% 140.87/141.32 Done
% 140.87/141.32
% 140.87/141.32
% 140.87/141.32 Intermediate Status:
% 140.87/141.32 Generated: 1027386
% 140.87/141.32 Kept: 200527
% 140.87/141.32 Inuse: 1880
% 140.87/141.32 Deleted: 1432
% 140.87/141.32 Deletedinuse: 1
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1051598
% 285.87/286.33 Kept: 202677
% 285.87/286.33 Inuse: 1915
% 285.87/286.33 Deleted: 1433
% 285.87/286.33 Deletedinuse: 2
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1070320
% 285.87/286.33 Kept: 204692
% 285.87/286.33 Inuse: 1943
% 285.87/286.33 Deleted: 1433
% 285.87/286.33 Deletedinuse: 2
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1093252
% 285.87/286.33 Kept: 209892
% 285.87/286.33 Inuse: 1952
% 285.87/286.33 Deleted: 1433
% 285.87/286.33 Deletedinuse: 2
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying clauses:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1105017
% 285.87/286.33 Kept: 212083
% 285.87/286.33 Inuse: 1980
% 285.87/286.33 Deleted: 1700
% 285.87/286.33 Deletedinuse: 5
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1114454
% 285.87/286.33 Kept: 214150
% 285.87/286.33 Inuse: 2000
% 285.87/286.33 Deleted: 1706
% 285.87/286.33 Deletedinuse: 11
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1135427
% 285.87/286.33 Kept: 222043
% 285.87/286.33 Inuse: 2020
% 285.87/286.33 Deleted: 1714
% 285.87/286.33 Deletedinuse: 19
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1153881
% 285.87/286.33 Kept: 225491
% 285.87/286.33 Inuse: 2040
% 285.87/286.33 Deleted: 1716
% 285.87/286.33 Deletedinuse: 21
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1160643
% 285.87/286.33 Kept: 227738
% 285.87/286.33 Inuse: 2055
% 285.87/286.33 Deleted: 1721
% 285.87/286.33 Deletedinuse: 26
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1166972
% 285.87/286.33 Kept: 229889
% 285.87/286.33 Inuse: 2070
% 285.87/286.33 Deleted: 1724
% 285.87/286.33 Deletedinuse: 29
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying clauses:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1185080
% 285.87/286.33 Kept: 232340
% 285.87/286.33 Inuse: 2075
% 285.87/286.33 Deleted: 2398
% 285.87/286.33 Deletedinuse: 33
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1196133
% 285.87/286.33 Kept: 234353
% 285.87/286.33 Inuse: 2105
% 285.87/286.33 Deleted: 2405
% 285.87/286.33 Deletedinuse: 40
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1205888
% 285.87/286.33 Kept: 236397
% 285.87/286.33 Inuse: 2130
% 285.87/286.33 Deleted: 2420
% 285.87/286.33 Deletedinuse: 55
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1214099
% 285.87/286.33 Kept: 238607
% 285.87/286.33 Inuse: 2145
% 285.87/286.33 Deleted: 2423
% 285.87/286.33 Deletedinuse: 58
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1222656
% 285.87/286.33 Kept: 240615
% 285.87/286.33 Inuse: 2161
% 285.87/286.33 Deleted: 2429
% 285.87/286.33 Deletedinuse: 64
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1231178
% 285.87/286.33 Kept: 242950
% 285.87/286.33 Inuse: 2180
% 285.87/286.33 Deleted: 2430
% 285.87/286.33 Deletedinuse: 65
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1237097
% 285.87/286.33 Kept: 244956
% 285.87/286.33 Inuse: 2192
% 285.87/286.33 Deleted: 2437
% 285.87/286.33 Deletedinuse: 72
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1251779
% 285.87/286.33 Kept: 248959
% 285.87/286.33 Inuse: 2205
% 285.87/286.33 Deleted: 2439
% 285.87/286.33 Deletedinuse: 74
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1262003
% 285.87/286.33 Kept: 251420
% 285.87/286.33 Inuse: 2210
% 285.87/286.33 Deleted: 2439
% 285.87/286.33 Deletedinuse: 74
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying clauses:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1324894
% 285.87/286.33 Kept: 257039
% 285.87/286.33 Inuse: 2230
% 285.87/286.33 Deleted: 3437
% 285.87/286.33 Deletedinuse: 74
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1339465
% 285.87/286.33 Kept: 259063
% 285.87/286.33 Inuse: 2243
% 285.87/286.33 Deleted: 3440
% 285.87/286.33 Deletedinuse: 77
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1390572
% 285.87/286.33 Kept: 264706
% 285.87/286.33 Inuse: 2250
% 285.87/286.33 Deleted: 3441
% 285.87/286.33 Deletedinuse: 78
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1403847
% 285.87/286.33 Kept: 266720
% 285.87/286.33 Inuse: 2256
% 285.87/286.33 Deleted: 3444
% 285.87/286.33 Deletedinuse: 81
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1415517
% 285.87/286.33 Kept: 268894
% 285.87/286.33 Inuse: 2285
% 285.87/286.33 Deleted: 3450
% 285.87/286.33 Deletedinuse: 87
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33 Resimplifying inuse:
% 285.87/286.33 Done
% 285.87/286.33
% 285.87/286.33
% 285.87/286.33 Intermediate Status:
% 285.87/286.33 Generated: 1427249
% 285.87/286.33 Kept: 271103
% 285.87/286.33 Inuse: 2310
% 285.87/286.33 Deleted: 3459
% 285.87/286.33 Deletedinuse: 96
% 285.87/286.33
% 285.87/286.33 Resimplifying inusCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------