TSTP Solution File: ALG382-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG382-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 12:10:38 EDT 2022
% Result : Unsatisfiable 1.02s 1.39s
% Output : Refutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG382-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Thu Jun 9 02:52:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.02/1.37 *** allocated 10000 integers for termspace/termends
% 1.02/1.37 *** allocated 10000 integers for clauses
% 1.02/1.37 *** allocated 10000 integers for justifications
% 1.02/1.37 *** allocated 15000 integers for termspace/termends
% 1.02/1.37 *** allocated 22500 integers for termspace/termends
% 1.02/1.37 Bliksem 1.12
% 1.02/1.37
% 1.02/1.37
% 1.02/1.37 Automatic Strategy Selection
% 1.02/1.37
% 1.02/1.37 Clauses:
% 1.02/1.37 [
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.37 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.37 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 X ), T, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.37 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.37 X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.37 Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.37 Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.02/1.37 X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.02/1.37 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.02/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.37 , X ) ) ],
% 1.02/1.37 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.37 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.02/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.37 ) ) ],
% 1.02/1.37 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.37 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.37 ) ],
% 1.02/1.37 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.37 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.37 ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.37 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.02/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.02/1.37 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 1.02/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.37 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.37 ), =( Z, Y ) ],
% 1.02/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.37 ) ],
% 1.02/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.37 ) ],
% 1.02/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.37 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.02/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.37 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.02/1.37 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.37 , X ) ) ), =( Y, Z ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.37 , X ) ) ), =( Y, Z ) ],
% 1.02/1.37 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.37 ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.37 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.37 ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.37 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.37 , X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.02/1.37 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.02/1.37 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.02/1.37 ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.02/1.37 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.37 ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.37 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.37 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.37 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.37 Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.02/1.37 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.02/1.37 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.02/1.37 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.02/1.37 ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.37 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.37 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.37 Y, X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.37 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.02/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.02/1.37 , X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.37 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.37 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.37 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.37 , X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.37 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.37 Y, T, X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.37 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.37 Y, T, X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.37 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 1.02/1.37 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.02/1.37 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.37 Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.37 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.37 , X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.37 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.02/1.37 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.37 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.02/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.02/1.37 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.02/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.02/1.37 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ),
% 1.02/1.37 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 1.02/1.37 X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.02/1.37 , X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.37 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.37 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.37 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.37 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.02/1.37 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.02/1.37 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.02/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.37 , X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.02/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 X ) ) ],
% 1.02/1.37 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.37 ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.37 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 X ) ) ],
% 1.02/1.37 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.37 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.37 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.37 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.37 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.37 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.02/1.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.37 , Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.37 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.37 , Z, X ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.37 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.37 , Z, X ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.37 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.02/1.37 ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.02/1.37 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.02/1.37 ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.37 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.37 , T, X ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.37 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.37 , T, X ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.37 Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.37 ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Y
% 1.02/1.37 , X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.37 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.37 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.37 , X ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.37 Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.37 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.02/1.37 ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.02/1.37 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.37 , Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.37 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.02/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.02/1.37 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.02/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.02/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.02/1.37 ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.37 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.37 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.37 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.37 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.37 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 ) ],
% 1.02/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.37 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.37 ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.37 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.02/1.37 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.37 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.37 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.37 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.37 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 1.02/1.37 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.02/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.37 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.37 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.02/1.37 , X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.02/1.37 ,
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.02/1.37 ],
% 1.02/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.37 ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.02/1.37 ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.37 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.02/1.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.02/1.37 ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.37 ), X ), Y ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.37 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.37 , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.37 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.02/1.37 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.02/1.37 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.37 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.37 Y, Z, X ), X ) ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.37 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.37 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.37 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.37 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.02/1.38 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.38 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.38 ],
% 1.02/1.38 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.02/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.02/1.38 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.38 ), 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( Y, X ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.02/1.38 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.02/1.38 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.02/1.38 , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.02/1.38 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.02/1.38 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.02/1.38 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.38 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.38 ) ],
% 1.02/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.38 ) ],
% 1.02/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.38 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.38 , Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.38 ), Y ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.38 ), Y ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.38 ), Y ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.38 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.38 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.38 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.38 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.38 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.38 , Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.38 ), 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y
% 1.02/1.38 , X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.38 ],
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.38 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.38 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.38 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.38 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.38 Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.02/1.38 ) ],
% 1.02/1.38 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.38 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.02/1.38 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.38 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.02/1.38 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.38 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.38 ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.38 ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.38 ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.38 ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.38 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.02/1.38 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.38 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.38 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.02/1.38 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.38 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.38 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.38 Y, X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.02/1.38 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.38 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.38 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.38 , X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.02/1.38 , X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.38 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.02/1.38 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.38 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.38 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.38 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.38 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.38 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.38 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.02/1.38 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 Y, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.38 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.38 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.38 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.38 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.02/1.38 , X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.02/1.38 , X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.38 , Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.38 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.02/1.38 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , Y, X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.38 , Z, X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.38 , Z, X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.38 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 Y, T, X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Z, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Z, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.38 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.38 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.38 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.38 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.02/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.02/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.02/1.38 X ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.38 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.02/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.02/1.38 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.38 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.02/1.38 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.38 ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.38 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.02/1.38 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.02/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.02/1.38 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.02/1.38 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.02/1.38 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.38 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.38 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ), T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.02/1.38 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.02/1.38 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.02/1.38 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.38 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.38 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.38 , T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.38 , T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.02/1.38 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.38 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.38 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.02/1.38 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.38 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.02/1.38 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.38 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.38 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.02/1.38 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.38 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.38 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.02/1.38 ), X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.02/1.38 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.38 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.38 Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.02/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.38 ],
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_Polynomial_Opoly'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 1.02/1.38 ) ), Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.02/1.38 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.02/1.38 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ), T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.38 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.02/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.02/1.38 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.38 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.38 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.38 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.38 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.38 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.38 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.38 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.02/1.38 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.02/1.38 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.02/1.38 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.38 , X ), W, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.02/1.38 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.02/1.38 W, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.02/1.38 , X ), T, X ), W, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.38 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.02/1.38 W, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.02/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.38 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.02/1.38 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.02/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.02/1.38 , X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 1.02/1.38 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.38 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.02/1.38 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.38 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.02/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X ) ),
% 1.02/1.38 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Y,
% 1.02/1.38 X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 1.02/1.38 , X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( Y, X ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'c_Polynomial_Opoly'( X,
% 1.02/1.38 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'(
% 1.02/1.38 X, Y ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( X, Z,
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( Z,
% 1.02/1.38 'tc_Complex_Ocomplex' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'( 'v_r____',
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, 'v_cs____',
% 1.02/1.38 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'v_sko__local__XpCons__1__1'( Y, 'v_cs____', X ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Z, 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ), =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.02/1.38 [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, 'v_cs____',
% 1.02/1.38 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'v_sko__local__XpCons__Xhyps__1'( Y, 'v_cs____', X ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Z, 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ), =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.38 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.38 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.38 , X ), W, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.38 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.02/1.38 , X ), T, X ), W, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.02/1.38 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.38 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.38 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.38 , X ), W, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.38 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.02/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.38 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.38 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.38 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.38 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.38 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.38 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.38 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.38 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.38 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.38 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.38 [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.02/1.38 'tc_Complex_Ocomplex' ) ) ) ) ],
% 1.02/1.38 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.38 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 Z, Y, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.38 ), Y ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.38 ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.38 , U, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.02/1.38 ), Y ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.38 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.38 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.38 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.38 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.38 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.38 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ), =( Y, Z ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ), =( Y, Z ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.38 , T, X ) ) ), =( Y, Z ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.38 , T, X ) ) ), =( Z, T ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.02/1.38 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.02/1.38 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.02/1.38 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.38 , X ) ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 1.02/1.38 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1'( T, X ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 Y, X ), 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1'( Z,
% 1.02/1.38 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 Z, X ),
% 1.02/1.38 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y, X
% 1.02/1.38 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( T, X ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 Y, X ),
% 1.02/1.38 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Z,
% 1.02/1.38 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 Z, X ), 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1'( Y
% 1.02/1.38 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( T, X ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 Z, X ),
% 1.02/1.38 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 1.02/1.38 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 Y, X ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'(
% 1.02/1.38 Z, X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.02/1.38 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.02/1.38 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.38 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'c_lessequals'( 'v_r____', 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( =( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.38 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.38 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.38 'v_r____', 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' )
% 1.02/1.38 , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.02/1.38 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.02/1.38 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.38 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.38 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.38 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.02/1.38 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.02/1.38 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.02/1.38 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.02/1.38 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.02/1.38 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.02/1.38 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.38 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.38 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.38 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.38 X ) ) ), =( Y, T ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.02/1.38 X ) ) ), =( Z, T ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.02/1.38 X ) ) ), =( Z, T ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 X ), T, X ) ) ],
% 1.02/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.38 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.38 T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.38 X ), T, X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.38 T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.38 X ), Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.38 T, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.02/1.38 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.02/1.38 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 1.02/1.38 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.02/1.38 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.38 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.38 X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.38 ) ],
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.02/1.38 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.38 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.38 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.38 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.38 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.38 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.38 ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.38 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , Y, X ) ) ],
% 1.02/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.38 , Y, X ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.38 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.38 ) ) ],
% 1.02/1.38 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.38 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.02/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.38 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 1.02/1.38 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.02/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 1.02/1.38 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 1.02/1.38 ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 1.02/1.38 ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.02/1.38 ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.02/1.38 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.02/1.38 ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.02/1.38 ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.02/1.38 ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.02/1.38 ],
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.02/1.38 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.02/1.38 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.02/1.38 ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.02/1.38 ],
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.02/1.38 ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.02/1.38 ],
% 1.02/1.38 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.02/1.38 ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.38 X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.02/1.38 ,
% 1.02/1.38 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.02/1.38 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 1.02/1.38 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.02/1.38 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.02/1.38 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 1.02/1.38 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.02/1.38 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 1.02/1.38 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.02/1.38 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 1.02/1.38 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 1.02/1.38 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 1.02/1.38 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 1.02/1.38 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 1.02/1.38 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.38 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.38 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.38 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.38 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.38 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.38 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.02/1.38 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 1.02/1.38 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.02/1.38 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 1.02/1.38 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 1.02/1.38 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.02/1.38 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.02/1.38 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.02/1.38 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.02/1.38 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.02/1.38 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.38 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.02/1.38 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 1.02/1.38 X ) ) ]
% 1.02/1.38 ] .
% 1.02/1.38
% 1.02/1.38
% 1.02/1.38 percentage equality = 0.172952, percentage horn = 0.851087
% 1.02/1.38 This is a problem with some equality
% 1.02/1.38
% 1.02/1.38
% 1.02/1.38
% 1.02/1.38 Options Used:
% 1.02/1.38
% 1.02/1.38 useres = 1
% 1.02/1.38 useparamod = 1
% 1.02/1.38 useeqrefl = 1
% 1.02/1.38 useeqfact = 1
% 1.02/1.38 usefactor = 1
% 1.02/1.38 usesimpsplitting = 0
% 1.02/1.38 usesimpdemod = 5
% 1.02/1.38 usesimpres = 3
% 1.02/1.38
% 1.02/1.38 resimpinuse = 1000
% 1.02/1.39 resimpclauses = 20000
% 1.02/1.39 substype = eqrewr
% 1.02/1.39 backwardsubs = 1
% 1.02/1.39 selectoldest = 5
% 1.02/1.39
% 1.02/1.39 litorderings [0] = split
% 1.02/1.39 litorderings [1] = extend the termordering, first sorting on arguments
% 1.02/1.39
% 1.02/1.39 termordering = kbo
% 1.02/1.39
% 1.02/1.39 litapriori = 0
% 1.02/1.39 termapriori = 1
% 1.02/1.39 litaposteriori = 0
% 1.02/1.39 termaposteriori = 0
% 1.02/1.39 demodaposteriori = 0
% 1.02/1.39 ordereqreflfact = 0
% 1.02/1.39
% 1.02/1.39 litselect = negord
% 1.02/1.39
% 1.02/1.39 maxweight = 15
% 1.02/1.39 maxdepth = 30000
% 1.02/1.39 maxlength = 115
% 1.02/1.39 maxnrvars = 195
% 1.02/1.39 excuselevel = 1
% 1.02/1.39 increasemaxweight = 1
% 1.02/1.39
% 1.02/1.39 maxselected = 10000000
% 1.02/1.39 maxnrclauses = 10000000
% 1.02/1.39
% 1.02/1.39 showgenerated = 0
% 1.02/1.39 showkept = 0
% 1.02/1.39 showselected = 0
% 1.02/1.39 showdeleted = 0
% 1.02/1.39 showresimp = 1
% 1.02/1.39 showstatus = 2000
% 1.02/1.39
% 1.02/1.39 prologoutput = 1
% 1.02/1.39 nrgoals = 5000000
% 1.02/1.39 totalproof = 1
% 1.02/1.39
% 1.02/1.39 Symbols occurring in the translation:
% 1.02/1.39
% 1.02/1.39 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.02/1.39 . [1, 2] (w:1, o:135, a:1, s:1, b:0),
% 1.02/1.39 ! [4, 1] (w:0, o:59, a:1, s:1, b:0),
% 1.02/1.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oordered__field' [40, 1] (w:1, o:66, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide' [43, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.02/1.39
% 1.02/1.39 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.02/1.39 'c_lessequals' [45, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.02/1.39 'c_HOL_Oord__class_Oless' [46, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero' [47, 1] (w:1, o:73, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'c_HOL_Otimes__class_Otimes' [51, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Ofield' [53, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse' [54, 2] (w:1, o:160, a:1, s:1, b:0)
% 1.02/1.39 ,
% 1.02/1.39 'class_RealVector_Oreal__normed__field' [55, 1] (w:1, o:75, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'c_HOL_Ominus__class_Ominus' [56, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus' [58, 2] (w:1, o:161, a:1, s:1, b:0),
% 1.02/1.39 'c_NthRoot_Osqrt' [59, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.02/1.39 'tc_RealDef_Oreal' [60, 0] (w:1, o:28, a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Opordered__ab__group__add__abs' [61, 1] (w:1, o:
% 1.02/1.39 78, a:1, s:1, b:0),
% 1.02/1.39 'c_HOL_Oabs__class_Oabs' [62, 2] (w:1, o:162, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oordered__idom' [63, 1] (w:1, o:79, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'class_RealVector_Oreal__normed__vector' [64, 1] (w:1, o:80, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'c_RealVector_Onorm__class_Onorm' [65, 2] (w:1, o:163, a:1, s:1, b:0)
% 1.02/1.39 ,
% 1.02/1.39 'class_Divides_Osemiring__div' [66, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.02/1.39 'c_Divides_Odiv__class_Odiv' [67, 3] (w:1, o:181, a:1, s:1, b:0),
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd' [69, 3] (w:1, o:182, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'c_HOL_Oone__class_Oone' [70, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.02/1.39 'c_HOL_Osgn__class_Osgn' [71, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Ocomm__semiring__1' [72, 1] (w:1, o:71, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_Orderings_Olinorder' [73, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.02/1.39 'class_Lattices_Oboolean__algebra' [74, 1] (w:1, o:85, a:1, s:1, b:0)
% 1.02/1.39 ,
% 1.02/1.39 'class_OrderedGroup_Ogroup__add' [75, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.02/1.39
% 1.02/1.39 'class_OrderedGroup_Opordered__ab__group__add' [76, 1] (w:1, o:87, a:
% 1.02/1.39 1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Odivision__ring' [77, 1] (w:1, o:88, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'class_Divides_Oring__div' [80, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Oordered__ab__group__add' [81, 1] (w:1, o:77, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Ocomm__ring__1' [83, 1] (w:1, o:68, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 1.02/1.39 [86, 2] (w:1, o:165, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Osgn__if' [87, 1] (w:1, o:91, a:1, s:1, b:0)
% 1.02/1.39 ,
% 1.02/1.39 'c_HOL_Oplus__class_Oplus' [88, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.02/1.39 'class_RealVector_Oreal__normed__algebra' [89, 1] (w:1, o:92, a:1, s:
% 1.02/1.39 1, b:0),
% 1.02/1.39 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1' [90, 2
% 1.02/1.39 ] (w:1, o:166, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oabs__if' [93, 1] (w:1, o:93, a:1, s:1, b:0)
% 1.02/1.39 ,
% 1.02/1.39 'class_OrderedGroup_Olordered__ab__group__add__abs' [94, 1] (w:1, o:
% 1.02/1.39 94, a:1, s:1, b:0),
% 1.02/1.39 'class_Int_Onumber__ring' [95, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.02/1.39 'class_Orderings_Oorder' [97, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.02/1.39 'class_Orderings_Opreorder' [98, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.02/1.39 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1' [100, 2]
% 1.02/1.39 (w:1, o:167, a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Oab__group__add' [101, 1] (w:1, o:99, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1' [102, 2
% 1.02/1.39 ] (w:1, o:168, a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Olordered__ab__group__add' [104, 1] (w:1, o:100
% 1.02/1.39 , a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oidom' [105, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.02/1.39
% 1.02/1.39 'class_Ring__and__Field_Oordered__ring__strict' [106, 1] (w:1, o:102
% 1.02/1.39 , a:1, s:1, b:0),
% 1.02/1.39 'class_RealVector_Oreal__normed__div__algebra' [107, 1] (w:1, o:103
% 1.02/1.39 , a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oring' [108, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Odvd' [110, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [111, 1]
% 1.02/1.39 (w:1, o:105, a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [112, 1]
% 1.02/1.39 (w:1, o:106, a:1, s:1, b:0),
% 1.02/1.39 'class_RealVector_Oreal__normed__algebra__1' [113, 1] (w:1, o:107, a:
% 1.02/1.39 1, s:1, b:0),
% 1.02/1.39 'tc_Complex_Ocomplex' [114, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oordered__semiring__strict' [115, 1] (w:1, o:
% 1.02/1.39 108, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oordered__comm__semiring__strict' [116, 1]
% 1.02/1.39 (w:1, o:109, a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Opordered__comm__monoid__add' [117, 1] (w:1, o:
% 1.02/1.39 110, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oordered__semidom' [118, 1] (w:1, o:111, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Olordered__ring' [119, 1] (w:1, o:112, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'tc_Polynomial_Opoly' [121, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.02/1.39 'c_Polynomial_Opoly' [122, 3] (w:1, o:184, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Opordered__ring__abs' [123, 1] (w:1, o:115
% 1.02/1.39 , a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oordered__semiring' [124, 1] (w:1, o:114, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Ocomm__monoid__add' [125, 1] (w:1, o:116, a:1, s:
% 1.02/1.39 1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Opordered__ring' [126, 1] (w:1, o:117, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_RealVector_Oreal__field' [128, 1] (w:1, o:118, a:1, s:1, b:0)
% 1.02/1.39 ,
% 1.02/1.39 'class_Ring__and__Field_Ocomm__ring' [129, 1] (w:1, o:69, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'c_Polynomial_OpCons' [133, 3] (w:1, o:185, a:1, s:1, b:0),
% 1.02/1.39 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1' [134
% 1.02/1.39 , 2] (w:1, o:169, a:1, s:1, b:0),
% 1.02/1.39 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1' [135
% 1.02/1.39 , 2] (w:1, o:170, a:1, s:1, b:0),
% 1.02/1.39 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1' [137, 2
% 1.02/1.39 ] (w:1, o:171, a:1, s:1, b:0),
% 1.02/1.39
% 1.02/1.39 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'
% 1.02/1.39 [138, 2] (w:1, o:172, a:1, s:1, b:0),
% 1.02/1.39 'v_r____' [139, 0] (w:1, o:47, a:1, s:1, b:0),
% 1.02/1.39 'v_z____' [140, 0] (w:1, o:48, a:1, s:1, b:0),
% 1.02/1.39 'v_cs____' [141, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.02/1.39 'v_sko__local__XpCons__1__1' [142, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.02/1.39 'v_sko__local__XpCons__Xhyps__1' [143, 3] (w:1, o:187, a:1, s:1, b:0)
% 1.02/1.39 ,
% 1.02/1.39 'class_Ring__and__Field_Omult__mono1' [144, 1] (w:1, o:119, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'class_Ring__and__Field_Omult__mono' [145, 1] (w:1, o:120, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'class_Ring__and__Field_Opordered__cancel__semiring' [146, 1] (w:1
% 1.02/1.39 , o:121, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Opordered__semiring' [147, 1] (w:1, o:122, a:
% 1.02/1.39 1, s:1, b:0),
% 1.02/1.39 'class_HOL_Ozero' [148, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Ozero__neq__one' [149, 1] (w:1, o:123, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Omonoid__add' [150, 1] (w:1, o:124, a:1, s:1, b:0
% 1.02/1.39 ),
% 1.02/1.39 'class_Ring__and__Field_Ono__zero__divisors' [153, 1] (w:1, o:65, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Oring__no__zero__divisors' [154, 1] (w:1, o:
% 1.02/1.39 90, a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Omult__zero' [155, 1] (w:1, o:64, a:1, s:1
% 1.02/1.39 , b:0),
% 1.02/1.39 'class_Ring__and__Field_Ocomm__semiring__0' [156, 1] (w:1, o:70, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1' [158, 2] (w:1
% 1.02/1.39 , o:173, a:1, s:1, b:0),
% 1.02/1.39 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1' [160, 2
% 1.02/1.39 ] (w:1, o:174, a:1, s:1, b:0),
% 1.02/1.39 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1' [161, 2
% 1.02/1.39 ] (w:1, o:175, a:1, s:1, b:0),
% 1.02/1.39 'v_c____' [162, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.02/1.39 'v_da____' [163, 0] (w:1, o:52, a:1, s:1, b:0),
% 1.02/1.39 'v_aa____' [164, 0] (w:1, o:53, a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Opordered__ab__semigroup__add' [167, 1] (w:1, o:
% 1.02/1.39 125, a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Ocancel__semigroup__add' [169, 1] (w:1, o:126, a:
% 1.02/1.39 1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Ocancel__ab__semigroup__add' [170, 1] (w:1, o:127
% 1.02/1.39 , a:1, s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Ocomm__semiring' [171, 1] (w:1, o:72, a:1, s:
% 1.02/1.39 1, b:0),
% 1.02/1.39 'class_OrderedGroup_Oab__semigroup__mult' [179, 1] (w:1, o:128, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Oab__semigroup__idem__mult' [180, 1] (w:1, o:129
% 1.02/1.39 , a:1, s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Omonoid__mult' [182, 1] (w:1, o:130, a:1, s:1, b:
% 1.02/1.39 0),
% 1.02/1.39 'class_OrderedGroup_Ocomm__monoid__mult' [183, 1] (w:1, o:131, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_OrderedGroup_Oab__semigroup__add' [184, 1] (w:1, o:132, a:1
% 1.02/1.39 , s:1, b:0),
% 1.02/1.39 'class_Ring__and__Field_Osemiring' [185, 1] (w:1, o:133, a:1, s:1, b:
% 1.02/1.39 0),
% 1.02/1.39 'class_OrderedGroup_Ocancel__comm__monoid__add' [187, 1] (w:1, o:134
% 1.02/1.39 , a:1, s:1, b:0).
% 1.02/1.39
% 1.02/1.39
% 1.02/1.39 Starting Search:
% 1.02/1.39
% 1.02/1.39
% 1.02/1.39 Bliksems!, er is een bewijs:
% 1.02/1.39 % SZS status Unsatisfiable
% 1.02/1.39 % SZS output start Refutation
% 1.02/1.39
% 1.02/1.39 clause( 736, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ] )
% 1.02/1.39 .
% 1.02/1.39 clause( 749, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.02/1.39 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.02/1.39 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.39 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.39 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.39 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.39 .
% 1.02/1.39 clause( 750, [] )
% 1.02/1.39 .
% 1.02/1.39
% 1.02/1.39
% 1.02/1.39 % SZS output end Refutation
% 1.02/1.39 found a proof!
% 1.02/1.39
% 1.02/1.39 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.02/1.39
% 1.02/1.39 initialclauses(
% 1.02/1.39 [ clause( 752, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.39 , clause( 753, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 1.02/1.39 , clause( 754, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 1.02/1.39 , clause( 755, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 1.02/1.39 , clause( 756, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 1.02/1.39 , clause( 757, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.39 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.39 X ), T, X ) ) ] )
% 1.02/1.39 , clause( 758, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.39 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.39 X ), Z, X ) ) ] )
% 1.02/1.39 , clause( 759, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.39 X ), Z, X ) ) ] )
% 1.02/1.39 , clause( 760, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.39 Z, X ), X ) ) ] )
% 1.02/1.39 , clause( 761, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.02/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.39 Z, X ), X ) ) ] )
% 1.02/1.39 , clause( 762, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.02/1.39 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.02/1.39 X ), Z, X ) ) ] )
% 1.02/1.39 , clause( 763, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.02/1.39 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 1.02/1.39 , clause( 764, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.02/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.39 , X ) ) ] )
% 1.02/1.39 , clause( 765, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.39 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.39 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.02/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.39 ) ) ] )
% 1.02/1.39 , clause( 766, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ),
% 1.02/1.39 =( X, Y ) ] )
% 1.02/1.39 , clause( 767, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.39 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.39 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.39 , clause( 768, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.39 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X )
% 1.02/1.39 , 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.39 , clause( 769, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.39 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.39 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.39 , clause( 770, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.39 ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.39 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 1.02/1.39 , clause( 771, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.39 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.02/1.39 , clause( 772, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.39 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.02/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.39 , clause( 773, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.39 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.02/1.39 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 1.02/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.39 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.02/1.39 , clause( 774, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 1.02/1.39 , clause( 775, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.02/1.39 )
% 1.02/1.39 , clause( 776, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 1.02/1.39 , clause( 777, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ] )
% 1.02/1.39 , clause( 778, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.39 ), =( Z, Y ) ] )
% 1.02/1.39 , clause( 779, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.39 ) ] )
% 1.02/1.39 , clause( 780, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.39 ) ] )
% 1.02/1.39 , clause( 781, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 1.02/1.39 , clause( 782, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.39 ), =( Z, Y ) ] )
% 1.02/1.39 , clause( 783, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.39 , X ) ) ), =( Y, Z ) ] )
% 1.02/1.39 , clause( 784, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.39 , X ) ) ), =( Y, Z ) ] )
% 1.02/1.39 , clause( 785, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.39 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.39 ) ] )
% 1.02/1.39 , clause( 786, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.39 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.39 , clause( 787, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.39 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.39 ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.39 , clause( 788, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.39 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.39 , clause( 789, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.39 Z, Y, X ) ) ] )
% 1.02/1.39 , clause( 790, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.39 , X ), X ) ) ] )
% 1.02/1.39 , clause( 791, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.02/1.39 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.02/1.39 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.02/1.39 ) ) ] )
% 1.02/1.39 , clause( 792, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.39 , clause( 793, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 1.02/1.39 , clause( 794, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.39 ) ] )
% 1.02/1.39 , clause( 795, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.39 , clause( 796, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.39 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.39 , clause( 797, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.39 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.39 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.39 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 1.02/1.39 , clause( 798, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.39 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.39 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 1.02/1.39 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.02/1.39 , clause( 799, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.39 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.39 Y, X ), X ) ) ] )
% 1.02/1.39 , clause( 800, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 1.02/1.39 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 1.02/1.39 X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.02/1.39 , clause( 801, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 1.02/1.39 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.39 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z,
% 1.02/1.39 X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.02/1.39 , clause( 802, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.39 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.39 , clause( 803, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.39 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.39 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 1.02/1.39 ), X ) ) ] )
% 1.02/1.39 , clause( 804, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.39 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.02/1.39 , clause( 805, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.39 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.39 Y, X ), Z, X ) ) ] )
% 1.02/1.39 , clause( 806, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.39 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.39 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.39 , clause( 807, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.39 ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.39 , clause( 808, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.39 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.39 X ) ) ] )
% 1.02/1.39 , clause( 809, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.39 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.02/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 1.02/1.39 , clause( 810, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.02/1.39 , X ) ) ] )
% 1.02/1.39 , clause( 811, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.39 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 1.02/1.39 , clause( 812, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.02/1.39 , clause( 813, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.39 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.39 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.02/1.39 , clause( 814, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.39 , X ) ) ] )
% 1.02/1.39 , clause( 815, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.39 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 1.02/1.39 , clause( 816, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.39 Y, T, X ), Z, X ) ) ] )
% 1.02/1.39 , clause( 817, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.39 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.39 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.39 Y, T, X ), Z, X ) ) ] )
% 1.02/1.39 , clause( 818, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.39 , clause( 819, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.39 , clause( 820, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.39 , clause( 821, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.39 , clause( 822, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.39 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.39 ) ] )
% 1.02/1.39 , clause( 823, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 1.02/1.39 , clause( 824, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.39 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.39 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 1.02/1.39 , clause( 825, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.39 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.39 , clause( 826, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 1.02/1.39 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 1.02/1.39 , clause( 827, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.02/1.39 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.02/1.39 , clause( 828, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.39 Z, X ), X ) ) ] )
% 1.02/1.39 , clause( 829, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.39 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.02/1.39 , clause( 830, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.39 , X ), Z, X ) ) ] )
% 1.02/1.39 , clause( 831, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.39 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.39 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.02/1.39 , clause( 832, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.39 , clause( 833, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.39 , clause( 834, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.02/1.39 , clause( 835, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 1.02/1.39 , clause( 836, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.39 , clause( 837, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.39 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.39 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.39 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.39 , clause( 838, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.39 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.39 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.39 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.39 )
% 1.02/1.39 , clause( 839, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.39 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.02/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.02/1.39 'c_lessequals'( Y, Z, X ) ) ] )
% 1.02/1.39 , clause( 840, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.39 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.02/1.39 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.02/1.40 'c_lessequals'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 841, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.40 , X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 1.02/1.40 , clause( 842, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ),
% 1.02/1.40 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 1.02/1.40 X, Y ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 843, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 844, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.40 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 845, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 1.02/1.40 , clause( 846, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 847, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 1.02/1.40 , clause( 848, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 849, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.40 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 850, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.40 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 851, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.40 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 852, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.02/1.40 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 853, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.02/1.40 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 854, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 855, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 856, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 857, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 858, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 859, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 860, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 861, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 862, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 863, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 864, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 865, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 1.02/1.40 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 1.02/1.40 , clause( 866, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 867, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 868, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 869, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.40 'c_lessequals'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 870, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 871, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_lessequals'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 872, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.02/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.40 , Y, X ) ) ] )
% 1.02/1.40 , clause( 873, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.40 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , Z, X ) ] )
% 1.02/1.40 , clause( 874, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.40 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , Z, X ) ] )
% 1.02/1.40 , clause( 875, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.40 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 876, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.02/1.40 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 877, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.40 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , T, X ) ] )
% 1.02/1.40 , clause( 878, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.40 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , T, X ) ] )
% 1.02/1.40 , clause( 879, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.40 Z, X ) ) ] )
% 1.02/1.40 , clause( 880, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 1.02/1.40 , clause( 881, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 882, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.40 ), 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Y
% 1.02/1.40 , X ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 883, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.40 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.40 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 884, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ) ] )
% 1.02/1.40 , clause( 885, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 886, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 887, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 Z, X ) ) ] )
% 1.02/1.40 , clause( 888, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 889, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 890, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.02/1.40 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 891, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 1.02/1.40 , clause( 892, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 893, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 894, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.02/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 895, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 896, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 897, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 898, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.40 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 899, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 900, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 901, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 902, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 903, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.40 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 904, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.40 Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 905, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 906, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.40 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 907, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 1.02/1.40 , clause( 908, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 909, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 910, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 911, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 912, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 913, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ] )
% 1.02/1.40 , clause( 914, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 915, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ] )
% 1.02/1.40 , clause( 916, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 917, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 918, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 919, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 920, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 921, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 922, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 923, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 924, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 925, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.02/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 926, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.40 ), X ), Y ) ] )
% 1.02/1.40 , clause( 927, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.40 , 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 928, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 929, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.02/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 1.02/1.40 , clause( 930, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 1.02/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 931, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 932, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.02/1.40 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 1.02/1.40 , clause( 933, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 934, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 Y, Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 935, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.40 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 936, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.40 , X, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 937, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 938, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 939, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 940, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 941, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 942, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.02/1.40 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.40 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 943, [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.40 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.40 , 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 944, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 945, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 1.02/1.40 , clause( 946, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 947, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 948, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.02/1.40 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 949, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 950, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 951, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 952, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 953, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.40 ), 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( Y, X ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 954, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 955, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 956, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 957, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 958, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.02/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 959, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.02/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 960, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.02/1.40 , 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 961, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.40 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 962, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.02/1.40 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 963, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.02/1.40 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 964, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.40 Y, X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 965, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 1.02/1.40 , Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 966, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 1.02/1.40 , Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 967, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.40 ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 968, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 1.02/1.40 , clause( 969, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 970, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 1.02/1.40 , clause( 971, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 972, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.40 , Y, X ) ) ] )
% 1.02/1.40 , clause( 973, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.40 ), Y ) ] )
% 1.02/1.40 , clause( 974, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 975, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 976, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.40 ), Y ) ] )
% 1.02/1.40 , clause( 977, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.40 ), Y ) ] )
% 1.02/1.40 , clause( 978, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.40 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 979, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 980, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 981, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 982, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 983, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 1.02/1.40 , clause( 984, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.02/1.40 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 1.02/1.40 , clause( 985, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 986, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 1.02/1.40 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 987, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 988, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.40 X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 989, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 1.02/1.40 'c_lessequals'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 990, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 1.02/1.40 , clause( 991, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 992, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 1.02/1.40 , clause( 993, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 994, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 1.02/1.40 , clause( 995, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.40 ), 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y
% 1.02/1.40 , X ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 996, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 997, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 998, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 999, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1000, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1001, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1002, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.40 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1003, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1004, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 1.02/1.40 , clause( 1005, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 1.02/1.40 , clause( 1006, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1007, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1008, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1009, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1010, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1011, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.40 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1012, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1013, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.02/1.40 , clause( 1014, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1015, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.40 =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1016, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1017, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.40 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.40 Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1018, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1019, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1020, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X
% 1.02/1.40 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal'
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1021, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1022, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.40 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.02/1.40 , clause( 1023, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.02/1.40 , clause( 1024, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 1025, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1026, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 1.02/1.40 , clause( 1027, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.02/1.40 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1028, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 1.02/1.40 , clause( 1029, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1030, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1031, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1032, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1033, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1034, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1035, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1036, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ] )
% 1.02/1.40 , clause( 1037, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1038, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1039, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1040, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1041, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1042, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1043, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1044, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1045, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 1.02/1.40 , clause( 1046, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ] )
% 1.02/1.40 , clause( 1047, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 Y, X ) ) ] )
% 1.02/1.40 , clause( 1048, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 Y, X ) ) ] )
% 1.02/1.40 , clause( 1049, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 Y, X ) ) ] )
% 1.02/1.40 , clause( 1050, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 Y, X ) ) ] )
% 1.02/1.40 , clause( 1051, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1052, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1053, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1054, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1055, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1056, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1057, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1058, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1059, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1060, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1061, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.02/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1062, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1063, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1064, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1065, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1066, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1067, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1068, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1069, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1070, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1071, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1072, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1073, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1074, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1075, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1076, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1077, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1078, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1079, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1080, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1081, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1082, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1083, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1084, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1085, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.02/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1086, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1087, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 1.02/1.40 , clause( 1088, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.02/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1089, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.02/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1090, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1091, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1092, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 1.02/1.40 Z, Y ) ] )
% 1.02/1.40 , clause( 1093, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 1094, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 1.02/1.40 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 1.02/1.40 , clause( 1095, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 1.02/1.40 Y, Z ) ] )
% 1.02/1.40 , clause( 1096, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1097, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 1098, [ ~( 'class_Orderings_Oorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1099, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.40 , X ), X ) ) ] )
% 1.02/1.40 , clause( 1100, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1101, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1102, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'(
% 1.02/1.40 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 1103, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.02/1.40 , clause( 1104, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.02/1.40 Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 1.02/1.40 , clause( 1105, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 1.02/1.40 , clause( 1106, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1107, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 1.02/1.40 , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 1.02/1.40 , clause( 1108, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.02/1.40 , clause( 1109, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 1.02/1.40 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 1110, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1111, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1112, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.40 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1113, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.40 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1114, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1115, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 1.02/1.40 , =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 1.02/1.40 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.40 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1116, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1117, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1118, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1119, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1120, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ] )
% 1.02/1.40 , clause( 1121, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.40 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1122, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y,
% 1.02/1.40 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.02/1.40 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1123, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y,
% 1.02/1.40 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.02/1.40 ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1124, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 1125, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Y, Y, X ) ) ] )
% 1.02/1.40 , clause( 1126, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1127, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1128, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1129, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1130, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.02/1.40 , X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1131, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.02/1.40 , X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1132, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.40 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 1133, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.40 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1134, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1135, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.40 , Z, X ) ) ] )
% 1.02/1.40 , clause( 1136, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 1.02/1.40 , clause( 1137, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1138, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.40 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1139, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.40 , Y, X ), X ) ] )
% 1.02/1.40 , clause( 1140, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.40 , Z, X ), X ) ] )
% 1.02/1.40 , clause( 1141, [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.40 , Z, X ), X ) ] )
% 1.02/1.40 , clause( 1142, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.40 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Y, T, X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1143, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1144, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1145, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1146, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1147, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1148, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Z, T, X ) ) ] )
% 1.02/1.40 , clause( 1149, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Z, T, X ) ) ] )
% 1.02/1.40 , clause( 1150, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1151, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.40 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1152, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 1.02/1.40 , clause( 1153, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 1.02/1.40 , clause( 1154, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1155, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.40 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 1156, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 1.02/1.40 , clause( 1157, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.40 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 1.02/1.40 , clause( 1158, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1159, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.40 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1160, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 1161, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.02/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 1162, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 1.02/1.40 , clause( 1163, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 1.02/1.40 , clause( 1164, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1165, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 1.02/1.40 , clause( 1166, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.02/1.40 X ) ] )
% 1.02/1.40 , clause( 1167, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 1.02/1.40 , clause( 1168, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.40 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 1.02/1.40 , clause( 1169, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1170, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1171, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1172, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.02/1.40 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1173, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.40 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1174, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1175, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.40 , ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1176, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 1.02/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1177, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1178, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z,
% 1.02/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1179, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1180, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 1.02/1.40 , clause( 1181, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 1.02/1.40 , clause( 1182, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.02/1.40 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.02/1.40 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1183, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1184, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ] )
% 1.02/1.40 , clause( 1185, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1186, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1187, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1188, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1189, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.40 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 1.02/1.40 , clause( 1190, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 1.02/1.40 , clause( 1191, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.40 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.02/1.40 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1192, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ), T, X ) ) ] )
% 1.02/1.40 , clause( 1193, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1194, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 1.02/1.40 , clause( 1195, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 1.02/1.40 , clause( 1196, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1197, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1198, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 1.02/1.40 , clause( 1199, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1200, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1201, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1202, [ ~(
% 1.02/1.40 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 1.02/1.40 , clause( 1203, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1204, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1205, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1206, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1207, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1208, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1209, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.02/1.40 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1210, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.02/1.40 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1211, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1212, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1213, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 1.02/1.40 , clause( 1214, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1215, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ] )
% 1.02/1.40 , clause( 1216, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ] )
% 1.02/1.40 , clause( 1217, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 1218, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1219, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1220, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1221, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1222, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1223, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1224, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1225, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1226, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.02/1.40 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1227, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1228, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.40 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1229, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.40 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1230, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1231, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.40 , T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1232, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.40 , T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1233, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1234, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 1.02/1.40 , clause( 1235, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.02/1.40 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 1.02/1.40 , clause( 1236, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1237, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1238, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1239, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1240, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1241, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1242, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1243, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1244, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1245, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1246, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1247, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1248, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1249, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.40 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 1.02/1.40 , clause( 1250, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.40 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 1.02/1.40 , clause( 1251, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1252, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.40 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.02/1.40 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 1.02/1.40 , clause( 1253, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1254, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1255, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.02/1.40 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 1.02/1.40 , clause( 1256, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 1.02/1.40 , clause( 1257, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.40 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1258, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1259, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 1.02/1.40 , clause( 1260, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1261, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1262, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.40 X ) ] )
% 1.02/1.40 , clause( 1263, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1264, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1265, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 1266, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 1.02/1.40 , clause( 1267, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1268, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1269, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1270, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.40 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.02/1.40 ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ] )
% 1.02/1.40 , clause( 1271, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1272, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 1.02/1.40 , clause( 1273, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 1.02/1.40 , clause( 1274, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1275, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.40 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 1276, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1277, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1278, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1279, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1280, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.40 =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1281, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1282, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1283, [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.40 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1284, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1285, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1286, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1287, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1288, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.40 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1289, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1290, [ =( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1291, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_Polynomial_Opoly'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'(
% 1.02/1.40 X ) ), Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 1.02/1.40 , clause( 1292, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1293, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1294, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.02/1.40 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1295, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1296, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1297, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1298, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1299, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1300, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.40 , T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1301, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1302, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.40 , T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1303, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1304, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1305, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.40 , T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1306, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 1.02/1.40 ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1307, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.02/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1308, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ), T, X ) ) ] )
% 1.02/1.40 , clause( 1309, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1310, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1311, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1312, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1313, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.02/1.40 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 1.02/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1314, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1315, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1316, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1317, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 1.02/1.40 , clause( 1318, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1319, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1320, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.02/1.40 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1321, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1322, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.02/1.40 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1323, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.02/1.40 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1324, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1325, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1326, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1327, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.40 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1328, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 1.02/1.40 , clause( 1329, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.40 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1330, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1331, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1332, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1333, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1334, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1335, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1336, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1337, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 1338, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.40 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 1339, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.40 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 1340, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.40 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 1341, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 1.02/1.40 , clause( 1342, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1343, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1344, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.40 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1345, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1346, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.40 X ) ] )
% 1.02/1.40 , clause( 1347, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X
% 1.02/1.40 ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 1.02/1.40 , clause( 1348, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.40 , X ), W, X ), X ) ) ] )
% 1.02/1.40 , clause( 1349, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.02/1.40 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.02/1.40 W, X ), X ) ) ] )
% 1.02/1.40 , clause( 1350, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.02/1.40 , X ), T, X ), W, X ) ) ] )
% 1.02/1.40 , clause( 1351, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.40 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.02/1.40 W, X ), X ) ) ] )
% 1.02/1.40 , clause( 1352, [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.02/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 1.02/1.40 , clause( 1353, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.40 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ] )
% 1.02/1.40 , clause( 1354, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.02/1.40 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.02/1.40 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.02/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ] )
% 1.02/1.40 , clause( 1355, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1356, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1357, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.02/1.40 , X ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1358, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 1.02/1.40 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1359, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1360, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.40 ), X ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1361, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.02/1.40 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.02/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1362, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1363, [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1364, [ =( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1365, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X ) ),
% 1.02/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 1.02/1.40 , clause( 1366, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Y,
% 1.02/1.40 X ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1367, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 1.02/1.40 , X ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1368, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( Y, X ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1369, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 1.02/1.40 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.40 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1370, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_Polynomial_Opoly'( X,
% 1.02/1.40 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'(
% 1.02/1.40 X, Y ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( X, Z,
% 1.02/1.40 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( Z,
% 1.02/1.40 'tc_Complex_Ocomplex' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1371, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1372, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.40 'v_r____', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1373, [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, 'v_cs____',
% 1.02/1.40 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.40 'v_sko__local__XpCons__1__1'( Y, 'v_cs____', X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ), =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 1.02/1.40 , clause( 1374, [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, 'v_cs____',
% 1.02/1.40 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.40 'v_sko__local__XpCons__Xhyps__1'( Y, 'v_cs____', X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ), =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 1.02/1.40 , clause( 1375, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X
% 1.02/1.40 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1376, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.40 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1377, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1378, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.40 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ] )
% 1.02/1.40 , clause( 1379, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1380, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.40 X ), X ) ] )
% 1.02/1.40 , clause( 1381, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 1.02/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 1.02/1.40 , clause( 1382, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 1.02/1.40 , clause( 1383, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 1.02/1.40 , clause( 1384, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.02/1.40 , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 1.02/1.40 ), X ) ) ] )
% 1.02/1.40 , clause( 1385, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 1.02/1.40 , clause( 1386, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 1.02/1.40 , clause( 1387, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1388, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ), X ) ) ] )
% 1.02/1.40 , clause( 1389, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~(
% 1.02/1.40 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1390, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~(
% 1.02/1.40 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1391, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1392, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X
% 1.02/1.40 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1393, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1394, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.40 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 1.02/1.40 , clause( 1395, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.40 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.40 , X ), W, X ) ) ] )
% 1.02/1.40 , clause( 1396, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ) ) ] )
% 1.02/1.40 , clause( 1397, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.40 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1398, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.02/1.40 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1399, [ ~(
% 1.02/1.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 1.02/1.40 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.02/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 1.02/1.40 , clause( 1400, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1401, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1402, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1403, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1404, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1405, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1406, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1407, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 1.02/1.40 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1408, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1409, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1410, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1411, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1412, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1413, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1414, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1415, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1416, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1417, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1418, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1419, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1420, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 1.02/1.40 , clause( 1421, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1422, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1423, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.40 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1424, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1425, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1426, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1427, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1428, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.02/1.40 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1429, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.02/1.40 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.02/1.40 , clause( 1430, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1431, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1432, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.40 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1433, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.40 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1434, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.40 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1435, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.40 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1436, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.40 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1437, [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 1.02/1.40 , clause( 1438, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 1.02/1.40 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 1.02/1.40 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.02/1.40 , clause( 1439, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.40 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.40 Z, Y, X ), X ) ) ] )
% 1.02/1.40 , clause( 1440, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.40 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1441, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.02/1.40 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1442, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.40 ), Y ) ] )
% 1.02/1.40 , clause( 1443, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1444, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1445, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1446, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1447, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.40 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 1.02/1.40 , clause( 1448, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1449, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1450, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1451, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.40 , U, X ), X ) ) ] )
% 1.02/1.40 , clause( 1452, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1453, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.02/1.40 ), Y ) ] )
% 1.02/1.40 , clause( 1454, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.40 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 1.02/1.40 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1455, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 1.02/1.40 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1456, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1457, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1458, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1459, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.40 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.02/1.40 , clause( 1460, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 1.02/1.40 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1461, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 1.02/1.40 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1462, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 1.02/1.40 ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1463, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1464, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1465, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1466, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1467, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1468, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1469, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1470, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1471, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1472, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 1.02/1.40 ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.02/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1473, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 1.02/1.40 ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1474, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 1.02/1.40 ~( 'c_lessequals'( U, T, X ) ) ] )
% 1.02/1.40 , clause( 1475, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 1.02/1.40 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 1.02/1.40 , clause( 1476, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.40 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.02/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 1.02/1.40 , clause( 1477, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ), =( Y, Z ) ] )
% 1.02/1.40 , clause( 1478, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ), =( Y, Z ) ] )
% 1.02/1.40 , clause( 1479, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.40 , T, X ) ) ), =( Y, Z ) ] )
% 1.02/1.40 , clause( 1480, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.40 , T, X ) ) ), =( Z, T ) ] )
% 1.02/1.40 , clause( 1481, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 1.02/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1482, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1483, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1484, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1485, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 ) ] )
% 1.02/1.40 , clause( 1486, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.02/1.40 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.02/1.40 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1487, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.02/1.40 =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1488, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 1.02/1.40 , clause( 1489, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 1.02/1.40 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 1.02/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 1.02/1.40 , clause( 1490, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.02/1.40 , clause( 1491, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.40 , X ) ) ] )
% 1.02/1.40 , clause( 1492, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 1.02/1.40 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1493, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__Xbounded__1__1'( T, X ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1494, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__left__Xbounded__1__1'( Z, X ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1495, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1'( Y, X
% 1.02/1.40 ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1496, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1'( T, X ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1497, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__left__Xnonneg__bounded__1__1'( Z,
% 1.02/1.40 X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1498, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__right__Xbounded__1__1'( Y, X ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1499, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__Xnonneg__bounded__1__1'( T, X ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1500, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__right__Xnonneg__bounded__1__1'( Y
% 1.02/1.40 , X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1501, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1'( Z, X )
% 1.02/1.40 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1502, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Z, U, X
% 1.02/1.40 ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1503, [ 'c_lessequals'( 'v_r____',
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1504, [ ~( =( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.40 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.40 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ] )
% 1.02/1.40 , clause( 1505, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.40 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 1.02/1.40 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.40 'v_r____', 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' )
% 1.02/1.40 , 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1506, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.40 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1507, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 1.02/1.40 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 1.02/1.40 , clause( 1508, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 1.02/1.40 =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.40 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ] )
% 1.02/1.40 , clause( 1509, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 1.02/1.40 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.02/1.40 )
% 1.02/1.40 , clause( 1510, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 1.02/1.40 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.40 ] )
% 1.02/1.40 , clause( 1511, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 1.02/1.40 , 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.02/1.40 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 1.02/1.40 , clause( 1512, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1513, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.40 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 1.02/1.40 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1514, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 1.02/1.40 , X ) ] )
% 1.02/1.40 , clause( 1515, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 1.02/1.40 , Y, X ) ] )
% 1.02/1.40 , clause( 1516, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.40 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.40 'tc_RealDef_Oreal' ) ] )
% 1.02/1.40 , clause( 1517, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1518, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.02/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 1.02/1.40 , clause( 1519, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.40 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 1.02/1.40 =( Y, T ) ] )
% 1.02/1.40 , clause( 1520, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.40 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.40 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 1.02/1.40 =( Y, T ) ] )
% 1.02/1.40 , clause( 1521, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.40 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 1.02/1.40 , clause( 1522, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 1.02/1.40 , =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.40 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.40 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.40 , clause( 1523, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.40 X ) ) ] )
% 1.02/1.40 , clause( 1524, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.40 Y, X ) ) ] )
% 1.02/1.40 , clause( 1525, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.40 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.41 Y, X ) ) ] )
% 1.02/1.41 , clause( 1526, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.02/1.41 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.41 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 1.02/1.41 , clause( 1527, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 1.02/1.41 , clause( 1528, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 1.02/1.41 =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X )
% 1.02/1.41 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.41 , clause( 1529, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.02/1.41 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.41 T, Z, X ) ) ), =( Y, T ) ] )
% 1.02/1.41 , clause( 1530, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 1.02/1.41 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.41 Y, T, X ) ) ), =( Z, T ) ] )
% 1.02/1.41 , clause( 1531, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 1.02/1.41 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 1.02/1.41 , clause( 1532, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.41 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.02/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 1.02/1.41 , clause( 1533, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.02/1.41 X ), X ) ) ] )
% 1.02/1.41 , clause( 1534, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.41 ) ) ] )
% 1.02/1.41 , clause( 1535, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1536, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 1.02/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.41 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1537, [ =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 1.02/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.41 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.41 , clause( 1538, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1539, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1540, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1541, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1542, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.02/1.41 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1543, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.02/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.41 , X ), T, X ) ) ] )
% 1.02/1.41 , clause( 1544, [ =( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 1.02/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.41 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.41 , clause( 1545, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.02/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.41 , T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1546, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.02/1.41 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.41 , X ), T, X ) ) ] )
% 1.02/1.41 , clause( 1547, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.41 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 Z, T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1548, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.41 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.41 T, X ), Z, X ) ) ] )
% 1.02/1.41 , clause( 1549, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.41 T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1550, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) )
% 1.02/1.41 , =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 1.02/1.41 , clause( 1551, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 1.02/1.41 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ] )
% 1.02/1.41 , clause( 1552, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 1.02/1.41 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ] )
% 1.02/1.41 , clause( 1553, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) )
% 1.02/1.41 , =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.41 , X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 1.02/1.41 , clause( 1554, [ ~(
% 1.02/1.41 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.02/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1555, [ ~(
% 1.02/1.41 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.02/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.41 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 1.02/1.41 , clause( 1556, [ ~(
% 1.02/1.41 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.02/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1557, [ ~(
% 1.02/1.41 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 1.02/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.41 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 1.02/1.41 , clause( 1558, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.02/1.41 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1559, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 1.02/1.41 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1560, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Z,
% 1.02/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 1.02/1.41 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.41 , clause( 1561, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 1.02/1.41 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 1.02/1.41 , clause( 1562, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 1.02/1.41 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.02/1.41 , clause( 1563, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 1.02/1.41 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 1.02/1.41 , clause( 1564, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' )
% 1.02/1.41 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.41 , clause( 1565, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.41 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 1.02/1.41 , clause( 1566, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.41 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 1.02/1.41 , clause( 1567, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.41 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 1.02/1.41 , clause( 1568, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.41 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.41 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1569, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.41 ] )
% 1.02/1.41 , clause( 1570, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.41 ] )
% 1.02/1.41 , clause( 1571, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.41 ] )
% 1.02/1.41 , clause( 1572, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1573, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ] )
% 1.02/1.41 , clause( 1574, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1575, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1576, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.41 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 1.02/1.41 , clause( 1577, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.02/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.41 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 1.02/1.41 , clause( 1578, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 Z, Y, X ) ) ] )
% 1.02/1.41 , clause( 1579, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.41 ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.41 , clause( 1580, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 Z, Y, X ) ) ] )
% 1.02/1.41 , clause( 1581, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.41 ) ) ] )
% 1.02/1.41 , clause( 1582, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.41 ) ) ] )
% 1.02/1.41 , clause( 1583, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 1.02/1.41 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.41 , X ) ) ] )
% 1.02/1.41 , clause( 1584, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.41 ) ) ] )
% 1.02/1.41 , clause( 1585, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.41 ) ) ] )
% 1.02/1.41 , clause( 1586, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 1.02/1.41 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.41 , X ) ) ] )
% 1.02/1.41 , clause( 1587, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 1.02/1.41 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 1.02/1.41 , X ) ) ] )
% 1.02/1.41 , clause( 1588, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 1.02/1.41 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 1.02/1.41 , X ) ) ] )
% 1.02/1.41 , clause( 1589, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.02/1.41 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 1.02/1.41 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 1.02/1.41 , X ) ) ] )
% 1.02/1.41 , clause( 1590, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.41 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 1.02/1.41 , clause( 1591, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1592, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.02/1.41 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.02/1.41 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.41 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.41 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.41 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1593, [ ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____'
% 1.02/1.41 , 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' )
% 1.02/1.41 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.41 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 1.02/1.41 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 1.02/1.41 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.02/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.41 , clause( 1594, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 1.02/1.41 , clause( 1595, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1596, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1597, [
% 1.02/1.41 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1598, [
% 1.02/1.41 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1599, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1600, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1601, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1602, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1603, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1604, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1605, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1606, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1607, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1608, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1609, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1610, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1611, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1612, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1613, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1614, [ 'class_Ring__and__Field_Opordered__semiring'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1615, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1616, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1617, [ 'class_Ring__and__Field_Oordered__semiring'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1618, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1619, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1620, [ 'class_Ring__and__Field_Oordered__semidom'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1621, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1622, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1623, [ 'class_RealVector_Oreal__normed__algebra'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1624, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1625, [ 'class_RealVector_Oreal__normed__vector'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1626, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1627, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1628, [ 'class_Ring__and__Field_Opordered__ring'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1629, [ 'class_Ring__and__Field_Oordered__field'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1630, [ 'class_Ring__and__Field_Olordered__ring'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1631, [ 'class_Ring__and__Field_Odivision__ring'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1632, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1633, [ 'class_RealVector_Oreal__normed__field'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1634, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1635, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1636, [ 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1637, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 1.02/1.41 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1638, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal'
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1639, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1640, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1641, [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal'
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1642, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal'
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1643, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' )
% 1.02/1.41 ] )
% 1.02/1.41 , clause( 1644, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' )
% 1.02/1.41 ] )
% 1.02/1.41 , clause( 1645, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1646, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1647, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1648, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1649, [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1650, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1651, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1652, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1653, [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1654, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1655, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1656, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1657, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1658, [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ] )
% 1.02/1.41 , clause( 1659, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1660, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1661, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1662, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1663, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1664, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1665, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1666, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1667, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1668, [ 'class_RealVector_Oreal__normed__algebra'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1669, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1670, [ 'class_RealVector_Oreal__normed__vector'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1671, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1672, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1673, [ 'class_Ring__and__Field_Odivision__ring'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1674, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1675, [ 'class_RealVector_Oreal__normed__field'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1676, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1677, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1678, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1679, [ 'class_OrderedGroup_Oab__group__add'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1680, [ 'class_Ring__and__Field_Omult__zero'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1681, [ 'class_Ring__and__Field_Ocomm__ring'(
% 1.02/1.41 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1682, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex'
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1683, [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex'
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1684, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 1.02/1.41 ) ] )
% 1.02/1.41 , clause( 1685, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' )
% 1.02/1.41 ] )
% 1.02/1.41 , clause( 1686, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' )
% 1.02/1.41 ] )
% 1.02/1.41 , clause( 1687, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 1.02/1.41 ] )
% 1.02/1.41 , clause( 1688, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1689, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1690, [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1691, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1692, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 1.02/1.41 , clause( 1693, [
% 1.02/1.41 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1694, [
% 1.02/1.41 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1695, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1696, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1697, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1698, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1699, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1700, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1701, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1702, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 1.02/1.41 , clause( 1703, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1704, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1705, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1706, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 1.02/1.41 , clause( 1707, [ 'class_Ring__and__Field_Opordered__semiring'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1708, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1709, [ 'class_Ring__and__Field_Oordered__semiring'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1710, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.02/1.41 )
% 1.02/1.41 , clause( 1711, [ 'class_Ring__and__Field_Oordered__semidom'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1712, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 1.02/1.41 , clause( 1713, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.02/1.41 , clause( 1714, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.02/1.41 , clause( 1715, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 1.02/1.41 , clause( 1716, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1717, [ 'class_Ring__and__Field_Opordered__ring'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1718, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.02/1.41 , clause( 1719, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1720, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 1.02/1.41 , clause( 1721, [ 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1722, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1723, [ 'class_Ring__and__Field_Omult__mono1'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1724, [ 'class_OrderedGroup_Oab__group__add'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 1.02/1.41 ) ) ] )
% 1.02/1.41 , clause( 1725, [ 'class_Ring__and__Field_Omult__zero'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.02/1.41 , clause( 1726, [ 'class_Ring__and__Field_Omult__mono'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.02/1.41 X ) ) ] )
% 1.02/1.41 , clause( 1727, [ 'class_Ring__and__Field_Ocomm__ring'(
% 1.02/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 1.02/1.41 ) ) ] )
% 1.02/1.41 , clause( 1728, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'(
% 1.02/1.41 X ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 1.02/1.41 , clause( 1729, [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'(
% 1.02/1.41 X ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 1.02/1.41 , clause( 1730, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'(
% 1.02/1.41 X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ] )
% 1.02/1.41 , clause( 1731, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'(
% 1.02/1.41 X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 1.02/1.41 , clause( 1732, [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'(
% 1.02/1.41 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.02/1.41 , clause( 1733, [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'(
% 1.02/1.41 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.02/1.41 , clause( 1734, [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X
% 1.02/1.41 ) ), ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 1.02/1.41 , clause( 1735, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X
% 1.02/1.41 ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 1.02/1.41 , clause( 1736, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X
% 1.02/1.41 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 1.02/1.41 , clause( 1737, [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X )
% 1.02/1.41 ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 1.02/1.41 , clause( 1738, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.41 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.02/1.41 , clause( 1739, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.41 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.02/1.41 , clause( 1740, [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) )
% 1.02/1.41 , ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 1.02/1.41 , clause( 1741, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ),
% 1.02/1.41 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 1.02/1.41 , clause( 1742, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 1.02/1.41 ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 1.02/1.41 , clause( 1743, [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.02/1.41 'class_HOL_Ozero'( X ) ) ] )
% 1.02/1.41 ] ).
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41
% 1.02/1.41 subsumption(
% 1.02/1.41 clause( 736, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ] )
% 1.02/1.41 , clause( 1573, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ] )
% 1.02/1.44 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.44
% 1.02/1.44
% 1.02/1.44 subsumption(
% 1.02/1.44 clause( 749, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.44 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.44 , clause( 1592, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.44 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.44 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 1.02/1.44
% 1.02/1.44
% 1.02/1.44 paramod(
% 1.02/1.44 clause( 5309, [ ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.44 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.44 , clause( 736, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ] )
% 1.02/1.44 , 0, clause( 1593, [ ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'v_da____', 'c_RealVector_Onorm__class_Onorm'( 'v_aa____',
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.44 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44 )
% 1.02/1.44 , 0, 8, substitution( 0, [ :=( X, 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.44 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_Complex_Ocomplex' ) )] ), substitution( 1, [] )).
% 1.02/1.44
% 1.02/1.44
% 1.02/1.44 resolution(
% 1.02/1.44 clause( 5310, [] )
% 1.02/1.44 , clause( 5309, [ ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____'
% 1.02/1.44 , 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' )
% 1.02/1.44 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.44 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ) ] )
% 1.02/1.44 , 0, clause( 749, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____'
% 1.02/1.44 , 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' )
% 1.02/1.44 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.44 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.02/1.44 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 1.02/1.44 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 1.02/1.44
% 1.02/1.44
% 1.02/1.44 subsumption(
% 1.02/1.44 clause( 750, [] )
% 1.02/1.44 , clause( 5310, [] )
% 1.02/1.44 , substitution( 0, [] ), permutation( 0, [] ) ).
% 1.02/1.44
% 1.02/1.44
% 1.02/1.44 end.
% 1.02/1.44
% 1.02/1.44 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 1.02/1.44
% 1.02/1.44 Memory use:
% 1.02/1.44
% 1.02/1.44 space for terms: 54703
% 1.02/1.44 space for clauses: 59141
% 1.02/1.44
% 1.02/1.44
% 1.02/1.44 clauses generated: 842
% 1.02/1.44 clauses kept: 751
% 1.02/1.44 clauses selected: 0
% 1.02/1.44 clauses deleted: 0
% 1.02/1.44 clauses inuse deleted: 0
% 1.02/1.44
% 1.02/1.44 subsentry: 24163
% 1.02/1.44 literals s-matched: 10458
% 1.02/1.44 literals matched: 10255
% 1.02/1.44 full subsumption: 2218
% 1.02/1.44
% 1.02/1.44 checksum: 1212966650
% 1.02/1.44
% 1.02/1.44
% 1.02/1.44 Bliksem ended
%------------------------------------------------------------------------------