TSTP Solution File: SWV592-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV592-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:26:58 EDT 2022
% Result : Timeout 300.03s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV592-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 18:58:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.12/1.50 *** allocated 10000 integers for termspace/termends
% 1.12/1.50 *** allocated 10000 integers for clauses
% 1.12/1.50 *** allocated 10000 integers for justifications
% 1.12/1.50 *** allocated 15000 integers for termspace/termends
% 1.12/1.50 *** allocated 22500 integers for termspace/termends
% 1.12/1.50 Bliksem 1.12
% 1.12/1.50
% 1.12/1.50
% 1.12/1.50 Automatic Strategy Selection
% 1.12/1.50
% 1.12/1.50 Clauses:
% 1.12/1.50 [
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.50 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.50 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.50 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.50 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.50 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.12/1.50 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.50 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.12/1.50 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.50 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.12/1.50 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.12/1.50 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.12/1.50 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.12/1.50 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.12/1.50 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.12/1.50 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.50 ) ) ],
% 1.12/1.50 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.50 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.12/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.12/1.50 , X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.12/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.12/1.50 , X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.50 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.50 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.50 ) ],
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.12/1.50 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.50 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.50 ,
% 1.12/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.50 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.50 ) ],
% 1.12/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.12/1.50 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.50 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.12/1.50 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.50 , X ) ) ],
% 1.12/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.50 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.12/1.50 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.50 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.12/1.50 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.12/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.12/1.50 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.12/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.12/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.12/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.12/1.50 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.12/1.50 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.12/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.12/1.50 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.12/1.50 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.12/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.12/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.50 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.12/1.51 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.12/1.51 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.12/1.51 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.12/1.51 X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.12/1.51 Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.51 X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.51 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.12/1.51 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.12/1.51 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.12/1.51 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.12/1.51 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.12/1.51 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.12/1.51 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.51 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.12/1.51 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.12/1.51 T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.51 X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.12/1.51 T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 T, X ), X ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.12/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.12/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.12/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.12/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.12/1.51 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.12/1.51 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.51 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.12/1.51 ), =( Z, Y ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.12/1.51 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.12/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.12/1.51 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.12/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.12/1.51 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.12/1.51 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.12/1.51 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.12/1.51 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.12/1.51 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.12/1.51 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.51 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.12/1.51 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.12/1.51 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.12/1.51 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.51 , T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.51 , T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.12/1.51 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.51 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.12/1.51 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.51 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.12/1.51 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.12/1.51 , T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.12/1.51 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.12/1.51 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.12/1.51 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.12/1.51 , X ), W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.12/1.51 , X ), T, X ), W, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.12/1.51 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.51 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.12/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.12/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.12/1.51 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 1.12/1.51 =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.12/1.51 , X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.12/1.51 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.12/1.51 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.12/1.51 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.12/1.51 'c_lessequals'( Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.12/1.51 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.12/1.51 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.12/1.51 X ) ) ), =( Z, T ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.12/1.51 X ) ) ), =( Z, T ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.12/1.51 X ) ) ), =( Y, T ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.12/1.51 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.12/1.51 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.12/1.51 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.12/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.12/1.51 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.12/1.51 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.12/1.51 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.12/1.51 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.12/1.51 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.12/1.51 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.12/1.51 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.12/1.51 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.12/1.51 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.12/1.51 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.12/1.51 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.12/1.51 , X ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.12/1.51 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.12/1.51 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.12/1.51 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.12/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.12/1.51 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.12/1.51 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.12/1.51 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.12/1.51 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.51 , Y, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.51 , Z, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.51 , Z, X ), X ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.12/1.51 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.12/1.51 ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.12/1.51 ), X ), Y ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.51 , 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.51 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.51 , Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.51 , Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.12/1.51 , T, X ), X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.12/1.51 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.12/1.51 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.12/1.51 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.12/1.51 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.12/1.51 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.51 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.51 , T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.12/1.51 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.12/1.51 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.51 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.12/1.51 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.12/1.51 'c_lessequals'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.12/1.51 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.12/1.51 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.12/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.12/1.51 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.12/1.51 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.12/1.51 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.12/1.51 , X ), W, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.12/1.51 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.12/1.51 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.12/1.51 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.12/1.51 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.12/1.51 , T, X ), X ), T, X ) ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.12/1.51 , Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.12/1.51 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.12/1.51 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.12/1.51 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.12/1.51 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.12/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.12/1.51 Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.12/1.51 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.12/1.51 W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.12/1.51 , X ), T, X ), W, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.12/1.51 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.12/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.12/1.51 W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.12/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.12/1.51 , X ), W, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.12/1.51 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.12/1.51 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 1.12/1.51 Z, X ) ) ],
% 1.12/1.51 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.12/1.51 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.51 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.51 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.51 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.51 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.51 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.51 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.12/1.51 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.12/1.51 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 1.12/1.51 X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.12/1.51 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.12/1.51 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.51 , Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.51 , Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.12/1.51 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.12/1.51 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.12/1.51 ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.12/1.51 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.12/1.51 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.12/1.51 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.12/1.51 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.12/1.51 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.12/1.51 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.12/1.51 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.12/1.51 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.12/1.51 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.12/1.51 , 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.12/1.51 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.12/1.51 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.51 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.51 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.51 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.12/1.51 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.51 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.51 ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.12/1.51 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.12/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.12/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.12/1.51 , Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.12/1.51 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.12/1.51 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 1.12/1.51 X ), Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.12/1.51 , T, X ), X ), T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.12/1.51 ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.51 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.51 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.51 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.51 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.51 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.51 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.12/1.51 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.12/1.51 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.51 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.51 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.12/1.51 ), Y ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.12/1.51 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.12/1.51 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.12/1.51 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.12/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.51 , U, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.12/1.51 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 Z, Y, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.12/1.51 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.51 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.51 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.12/1.51 X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.12/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.12/1.51 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.51 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.12/1.51 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.12/1.51 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.51 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.12/1.51 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.12/1.51 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.51 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.51 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.51 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.51 Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 1.12/1.51 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.12/1.51 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.12/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.12/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.12/1.51 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.12/1.51 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.12/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.12/1.51 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.12/1.51 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.12/1.51 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.12/1.51 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.12/1.51 ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.12/1.51 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.12/1.51 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.12/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.12/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Z, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.12/1.51 X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.12/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.12/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.51 Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.12/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.12/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.12/1.51 ,
% 1.12/1.51 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.51 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.12/1.51 , X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.51 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.12/1.51 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.12/1.51 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.12/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.12/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.12/1.51 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.12/1.51 ) ) ],
% 1.12/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.12/1.51 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.12/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.51 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.12/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.51 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.12/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.52 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.12/1.52 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.52 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.12/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.52 , Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.52 , T, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.12/1.52 , T, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.52 , Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.52 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.12/1.52 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.12/1.52 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.12/1.52 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.12/1.52 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.12/1.52 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.12/1.52 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.12/1.52 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.12/1.52 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.52 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.12/1.52 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.12/1.52 ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.12/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.12/1.52 Y, X ), X ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.12/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.52 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.52 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.12/1.52 'c_lessequals'( Z, Y, X ) ],
% 1.12/1.52 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.12/1.52 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.12/1.52 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.12/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.12/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.12/1.52 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.12/1.52 X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.12/1.52 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.12/1.52 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.12/1.52 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.12/1.52 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 1.12/1.52 X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.12/1.52 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.52 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.12/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.52 , X ), Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.12/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.12/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.12/1.52 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.12/1.52 Y, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.12/1.52 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.52 X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.12/1.52 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.52 X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.12/1.52 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.52 X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.12/1.52 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.12/1.52 X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.52 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 Y, X ), Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.12/1.52 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.12/1.52 Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.52 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.12/1.52 X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.12/1.52 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 , Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.12/1.52 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 Z, Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.52 , X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.12/1.52 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.52 , X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.12/1.52 ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.12/1.52 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.12/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.12/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.12/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.12/1.52 Y, Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.12/1.52 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.12/1.52 , X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.12/1.52 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.12/1.52 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.12/1.52 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.12/1.52 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.12/1.52 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.12/1.52 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.12/1.52 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.12/1.52 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.12/1.52 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.52 , U, X ), X ), X ) ) ],
% 1.12/1.52 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.12/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.12/1.52 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.12/1.52 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.12/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.52 ) ],
% 1.12/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.12/1.52 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.12/1.52 ) ],
% 1.12/1.52 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.12/1.52 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.12/1.52 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.12/1.52 ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.12/1.52 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.12/1.52 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.12/1.52 ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.12/1.52 ) ],
% 1.12/1.52 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.12/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.12/1.52 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.12/1.52 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.12/1.52 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.12/1.52 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.52 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.52 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.12/1.52 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.12/1.52 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.12/1.52 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.12/1.52 'c_RealVector_Oof__real'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.12/1.52 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.12/1.52 ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.12/1.52 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.12/1.52 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.12/1.52 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.12/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.12/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.12/1.52 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.12/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.12/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.12/1.52 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.12/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.52 X ) ) ],
% 1.12/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.12/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.12/1.52 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.12/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.12/1.52 , X ) ) ), =( Y, Z ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.12/1.52 , X ) ) ), =( Y, Z ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.12/1.52 , T, X ) ) ), =( Z, T ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.12/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.12/1.52 , T, X ) ) ), =( Y, Z ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ) ) ],
% 1.12/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.12/1.52 ), Y ) ],
% 1.12/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.12/1.52 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.12/1.52 [ ~( =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( 'v_x',
% 1.12/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.12/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( 'v_x' ),
% 1.12/1.52 'tc_RealDef_Oreal' ) ) ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.12/1.52 ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.12/1.52 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.12/1.52 ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.12/1.52 ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.12/1.52 ],
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.12/1.52 ,
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.12/1.52 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.15/1.52 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 1.15/1.52 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.15/1.52 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ]
% 1.15/1.52 ] .
% 1.15/1.52
% 1.15/1.52
% 1.15/1.52 percentage equality = 0.201069, percentage horn = 0.864769
% 1.15/1.52 This is a problem with some equality
% 1.15/1.52
% 1.15/1.52
% 1.15/1.52
% 1.15/1.52 Options Used:
% 1.15/1.52
% 1.15/1.52 useres = 1
% 1.15/1.52 useparamod = 1
% 1.15/1.52 useeqrefl = 1
% 1.15/1.52 useeqfact = 1
% 1.15/1.52 usefactor = 1
% 1.15/1.52 usesimpsplitting = 0
% 1.15/1.52 usesimpdemod = 5
% 1.15/1.52 usesimpres = 3
% 1.15/1.52
% 1.15/1.52 resimpinuse = 1000
% 1.15/1.52 resimpclauses = 20000
% 1.15/1.52 substype = eqrewr
% 1.15/1.52 backwardsubs = 1
% 1.15/1.52 selectoldest = 5
% 1.15/1.52
% 1.15/1.52 litorderings [0] = split
% 1.15/1.52 litorderings [1] = extend the termordering, first sorting on arguments
% 1.15/1.52
% 1.15/1.52 termordering = kbo
% 1.15/1.52
% 1.15/1.52 litapriori = 0
% 1.15/1.52 termapriori = 1
% 1.15/1.52 litaposteriori = 0
% 1.15/1.52 termaposteriori = 0
% 1.15/1.52 demodaposteriori = 0
% 1.15/1.52 ordereqreflfact = 0
% 1.15/1.52
% 1.15/1.52 litselect = negord
% 1.15/1.52
% 1.15/1.52 maxweight = 15
% 1.15/1.52 maxdepth = 30000
% 1.15/1.52 maxlength = 115
% 1.15/1.52 maxnrvars = 195
% 1.15/1.52 excuselevel = 1
% 1.15/1.52 increasemaxweight = 1
% 1.15/1.52
% 1.15/1.52 maxselected = 10000000
% 1.15/1.52 maxnrclauses = 10000000
% 1.15/1.52
% 1.15/1.52 showgenerated = 0
% 1.15/1.52 showkept = 0
% 1.15/1.52 showselected = 0
% 1.15/1.52 showdeleted = 0
% 1.15/1.52 showresimp = 1
% 1.15/1.52 showstatus = 2000
% 1.15/1.52
% 1.15/1.52 prologoutput = 1
% 1.15/1.52 nrgoals = 5000000
% 1.15/1.52 totalproof = 1
% 1.15/1.52
% 1.15/1.52 Symbols occurring in the translation:
% 1.15/1.52
% 1.15/1.52 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.15/1.52 . [1, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.15/1.52 ! [4, 1] (w:0, o:51, a:1, s:1, b:0),
% 1.15/1.52 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.15/1.52 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.15/1.52 'class_Ring__and__Field_Oidom' [40, 1] (w:1, o:56, a:1, s:1, b:0),
% 1.15/1.52 'class_Int_Onumber__ring' [41, 1] (w:1, o:57, a:1, s:1, b:0),
% 1.15/1.52 'c_HOL_Otimes__class_Otimes' [45, 3] (w:1, o:160, a:1, s:1, b:0),
% 1.15/1.52 'c_HOL_Oplus__class_Oplus' [46, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.15/1.52 'c_HOL_Ozero__class_Ozero' [48, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.15/1.52 'class_Ring__and__Field_Opordered__ring' [49, 1] (w:1, o:68, a:1, s:1
% 1.15/1.52 , b:0),
% 1.15/1.52 'c_lessequals' [52, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.15/1.52 'class_Ring__and__Field_Omult__mono' [53, 1] (w:1, o:70, a:1, s:1, b:
% 1.15/1.52 0),
% 1.15/1.52 'class_Ring__and__Field_Omult__mono1' [54, 1] (w:1, o:71, a:1, s:1
% 1.15/1.52 , b:0),
% 1.15/1.52 'class_Ring__and__Field_Ofield' [55, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.15/1.52 'class_Ring__and__Field_Odivision__by__zero' [56, 1] (w:1, o:77, a:1
% 1.15/1.52 , s:1, b:0),
% 1.15/1.52 'c_HOL_Oinverse__class_Odivide' [57, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.15/1.52
% 1.15/1.52 'c_HOL_Oinverse__class_Oinverse' [58, 2] (w:1, o:153, a:1, s:1, b:0)
% 1.15/1.52 ,
% 1.15/1.52 'class_Ring__and__Field_Oordered__field' [59, 1] (w:1, o:61, a:1, s:1
% 1.15/1.52 , b:0),
% 1.15/1.52 'c_HOL_Oord__class_Oless' [60, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.15/1.52 'class_RealVector_Oreal__normed__field' [61, 1] (w:1, o:78, a:1, s:1
% 1.15/1.52 , b:0),
% 1.15/1.52 'c_HOL_Ominus__class_Ominus' [62, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.15/1.52 'c_HOL_Ouminus__class_Ouminus' [64, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.15/1.52 'c_NthRoot_Osqrt' [65, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.15/1.52 'class_Ring__and__Field_Oordered__semidom' [67, 1] (w:1, o:63, a:1
% 1.15/1.52 , s:1, b:0),
% 1.15/1.52 'class_Ring__and__Field_Ocomm__semiring__1' [68, 1] (w:1, o:75, a:1
% 1.15/1.52 , s:1, b:0),
% 1.15/1.52 'c_Ring__and__Field_Odvd__class_Odvd' [69, 3] (w:1, o:166, a:1, s:1
% 1.15/1.52 , b:0),
% 1.15/1.52 'tc_RealDef_Oreal' [70, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.15/1.52 'class_OrderedGroup_Opordered__ab__group__add__abs' [71, 1] (w:1, o:
% 1.15/1.52 81, a:1, s:1, b:0),
% 1.15/1.52 'c_HOL_Oabs__class_Oabs' [72, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.15/1.52 'class_Ring__and__Field_Oordered__semiring__strict' [73, 1] (w:1, o:
% 1.15/1.52 64, a:1, s:1, b:0),
% 1.15/1.52 'class_Ring__and__Field_Oordered__ring__strict' [74, 1] (w:1, o:62
% 1.15/1.52 , a:1, s:1, b:0),
% 1.15/1.52 'class_Divides_Osemiring__div' [75, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.15/1.52 'c_Divides_Odiv__class_Omod' [76, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.15/1.52 'class_Ring__and__Field_Oordered__idom' [77, 1] (w:1, o:65, a:1, s:1
% 1.15/1.52 , b:0),
% 1.15/1.52 'class_Lattices_Olower__semilattice' [78, 1] (w:1, o:84, a:1, s:1, b:
% 1.15/1.52 0),
% 1.15/1.52 'c_Lattices_Olower__semilattice__class_Oinf' [80, 3] (w:1, o:168, a:1
% 1.15/1.52 , s:1, b:0),
% 8.27/8.63 'class_Lattices_Olattice' [81, 1] (w:1, o:85, a:1, s:1, b:0),
% 8.27/8.63 'class_RealVector_Oreal__normed__vector' [82, 1] (w:1, o:86, a:1, s:1
% 8.27/8.63 , b:0),
% 8.27/8.63 'c_RealVector_Onorm__class_Onorm' [83, 2] (w:1, o:156, a:1, s:1, b:0)
% 8.27/8.63 ,
% 8.27/8.63 'class_OrderedGroup_Opordered__ab__group__add' [84, 1] (w:1, o:87, a:
% 8.27/8.63 1, s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Oab__semigroup__idem__mult' [85, 1] (w:1, o:88
% 8.27/8.63 , a:1, s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Olordered__ab__group__add' [86, 1] (w:1, o:89, a:
% 8.27/8.63 1, s:1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Opordered__ring__abs' [88, 1] (w:1, o:90, a:1
% 8.27/8.63 , s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [89, 1]
% 8.27/8.63 (w:1, o:91, a:1, s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Opordered__ab__semigroup__add' [90, 1] (w:1, o:92
% 8.27/8.63 , a:1, s:1, b:0),
% 8.27/8.63 'class_RealVector_Oreal__algebra__1' [91, 1] (w:1, o:93, a:1, s:1, b:
% 8.27/8.63 0),
% 8.27/8.63 'c_RealVector_Oof__real' [92, 2] (w:1, o:157, a:1, s:1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Odivision__ring' [93, 1] (w:1, o:94, a:1, s:1
% 8.27/8.63 , b:0),
% 8.27/8.63 'class_Ring__and__Field_Odvd' [94, 1] (w:1, o:95, a:1, s:1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Ocomm__ring' [95, 1] (w:1, o:73, a:1, s:1, b:
% 8.27/8.63 0),
% 8.27/8.63 'class_Orderings_Oorder' [99, 1] (w:1, o:96, a:1, s:1, b:0),
% 8.27/8.63 'class_Orderings_Olinorder' [100, 1] (w:1, o:97, a:1, s:1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Opordered__cancel__semiring' [101, 1] (w:1
% 8.27/8.63 , o:98, a:1, s:1, b:0),
% 8.27/8.63 'class_RealVector_Oreal__normed__algebra' [102, 1] (w:1, o:99, a:1
% 8.27/8.63 , s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Oab__semigroup__mult' [104, 1] (w:1, o:100, a:1
% 8.27/8.63 , s:1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Ocomm__semiring' [116, 1] (w:1, o:76, a:1, s:
% 8.27/8.63 1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Opordered__semiring' [118, 1] (w:1, o:101, a:
% 8.27/8.63 1, s:1, b:0),
% 8.27/8.63 'c_HOL_Osgn__class_Osgn' [119, 2] (w:1, o:158, a:1, s:1, b:0),
% 8.27/8.63 'c_Transcendental_Oarctan' [120, 1] (w:1, o:102, a:1, s:1, b:0),
% 8.27/8.63 'c_Transcendental_Ocos' [121, 1] (w:1, o:103, a:1, s:1, b:0),
% 8.27/8.63 'c_Transcendental_Opi' [122, 0] (w:1, o:42, a:1, s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Olordered__ab__group__add__abs' [123, 1] (w:1, o:
% 8.27/8.63 104, a:1, s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Opordered__comm__monoid__add' [124, 1] (w:1, o:
% 8.27/8.63 105, a:1, s:1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Oring__no__zero__divisors' [125, 1] (w:1, o:
% 8.27/8.63 106, a:1, s:1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Ono__zero__divisors' [126, 1] (w:1, o:60, a:1
% 8.27/8.63 , s:1, b:0),
% 8.27/8.63 'c_Transcendental_Osin' [127, 1] (w:1, o:107, a:1, s:1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Oabs__if' [128, 1] (w:1, o:108, a:1, s:1, b:0
% 8.27/8.63 ),
% 8.27/8.63 'class_Ring__and__Field_Oordered__semiring' [129, 1] (w:1, o:66, a:1
% 8.27/8.63 , s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Ocomm__monoid__add' [132, 1] (w:1, o:109, a:1, s:
% 8.27/8.63 1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Oring' [133, 1] (w:1, o:110, a:1, s:1, b:0),
% 8.27/8.63
% 8.27/8.63 'class_Ring__and__Field_Olordered__ring' [134, 1] (w:1, o:69, a:1, s:
% 8.27/8.63 1, b:0),
% 8.27/8.63 'class_OrderedGroup_Ocancel__ab__semigroup__add' [137, 1] (w:1, o:111
% 8.27/8.63 , a:1, s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Ocancel__semigroup__add' [138, 1] (w:1, o:112, a:
% 8.27/8.63 1, s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Olordered__ab__group__add__meet' [139, 1] (w:1
% 8.27/8.63 , o:113, a:1, s:1, b:0),
% 8.27/8.63 'class_RealVector_Oreal__vector' [140, 1] (w:1, o:114, a:1, s:1, b:0)
% 8.27/8.63 ,
% 8.27/8.63 'c_RealVector_OscaleR__class_OscaleR' [141, 3] (w:1, o:169, a:1, s:1
% 8.27/8.63 , b:0),
% 8.27/8.63 'class_RealVector_Oreal__algebra' [142, 1] (w:1, o:115, a:1, s:1, b:0
% 8.27/8.63 ),
% 8.27/8.63 'class_OrderedGroup_Oab__group__add' [143, 1] (w:1, o:116, a:1, s:1
% 8.27/8.63 , b:0),
% 8.27/8.63 'class_RealVector_Oreal__field' [145, 1] (w:1, o:117, a:1, s:1, b:0)
% 8.27/8.63 ,
% 8.27/8.63 'class_OrderedGroup_Oordered__ab__group__add' [146, 1] (w:1, o:80, a:
% 8.27/8.63 1, s:1, b:0),
% 8.27/8.63 'c_Transcendental_Otan' [147, 1] (w:1, o:118, a:1, s:1, b:0),
% 8.27/8.63 'class_Orderings_Opreorder' [148, 1] (w:1, o:119, a:1, s:1, b:0),
% 8.27/8.63 'class_OrderedGroup_Oab__semigroup__add' [149, 1] (w:1, o:120, a:1
% 8.27/8.63 , s:1, b:0),
% 8.27/8.63 'class_Ring__and__Field_Osemiring' [150, 1] (w:1, o:121, a:1, s:1, b:
% 8.27/8.63 0),
% 30.34/30.70 'class_OrderedGroup_Ogroup__add' [151, 1] (w:1, o:122, a:1, s:1, b:0)
% 30.34/30.70 ,
% 30.34/30.70 'class_RealVector_Oreal__normed__div__algebra' [153, 1] (w:1, o:123
% 30.34/30.70 , a:1, s:1, b:0),
% 30.34/30.70 'class_Ring__and__Field_Omult__zero' [154, 1] (w:1, o:59, a:1, s:1
% 30.34/30.70 , b:0),
% 30.34/30.70 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [155, 1]
% 30.34/30.70 (w:1, o:124, a:1, s:1, b:0),
% 30.34/30.70 'class_Ring__and__Field_Oordered__comm__semiring__strict' [156, 1]
% 30.34/30.70 (w:1, o:67, a:1, s:1, b:0),
% 30.34/30.70 'class_OrderedGroup_Omonoid__add' [157, 1] (w:1, o:125, a:1, s:1, b:0
% 30.34/30.70 ),
% 30.34/30.70 'c_Fun_Oid' [158, 2] (w:1, o:159, a:1, s:1, b:0),
% 30.34/30.70 'class_Divides_Oring__div' [159, 1] (w:1, o:82, a:1, s:1, b:0),
% 30.34/30.70 'class_Ring__and__Field_Ocomm__ring__1' [162, 1] (w:1, o:74, a:1, s:1
% 30.34/30.70 , b:0),
% 30.34/30.70 'class_Ring__and__Field_Osgn__if' [163, 1] (w:1, o:126, a:1, s:1, b:0
% 30.34/30.70 ),
% 30.34/30.70 'v_x' [167, 0] (w:1, o:49, a:1, s:1, b:0),
% 30.34/30.70 't_a' [168, 0] (w:1, o:50, a:1, s:1, b:0),
% 30.34/30.70 'class_Lattices_Oboolean__algebra' [169, 1] (w:1, o:127, a:1, s:1, b:
% 30.35/30.70 0).
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Starting Search:
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 5891
% 30.35/30.70 Kept: 2016
% 30.35/30.70 Inuse: 101
% 30.35/30.70 Deleted: 0
% 30.35/30.70 Deletedinuse: 0
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 13811
% 30.35/30.70 Kept: 4018
% 30.35/30.70 Inuse: 222
% 30.35/30.70 Deleted: 2
% 30.35/30.70 Deletedinuse: 0
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 25264
% 30.35/30.70 Kept: 6166
% 30.35/30.70 Inuse: 304
% 30.35/30.70 Deleted: 2
% 30.35/30.70 Deletedinuse: 0
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 34052
% 30.35/30.70 Kept: 8177
% 30.35/30.70 Inuse: 372
% 30.35/30.70 Deleted: 4
% 30.35/30.70 Deletedinuse: 0
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 60407
% 30.35/30.70 Kept: 10554
% 30.35/30.70 Inuse: 420
% 30.35/30.70 Deleted: 6
% 30.35/30.70 Deletedinuse: 0
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 68986
% 30.35/30.70 Kept: 12558
% 30.35/30.70 Inuse: 431
% 30.35/30.70 Deleted: 6
% 30.35/30.70 Deletedinuse: 0
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 82147
% 30.35/30.70 Kept: 15324
% 30.35/30.70 Inuse: 483
% 30.35/30.70 Deleted: 9
% 30.35/30.70 Deletedinuse: 3
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 95482
% 30.35/30.70 Kept: 17329
% 30.35/30.70 Inuse: 559
% 30.35/30.70 Deleted: 9
% 30.35/30.70 Deletedinuse: 3
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 114192
% 30.35/30.70 Kept: 19514
% 30.35/30.70 Inuse: 593
% 30.35/30.70 Deleted: 14
% 30.35/30.70 Deletedinuse: 6
% 30.35/30.70
% 30.35/30.70 Resimplifying clauses:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 129338
% 30.35/30.70 Kept: 21551
% 30.35/30.70 Inuse: 643
% 30.35/30.70 Deleted: 576
% 30.35/30.70 Deletedinuse: 6
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 140794
% 30.35/30.70 Kept: 23586
% 30.35/30.70 Inuse: 673
% 30.35/30.70 Deleted: 576
% 30.35/30.70 Deletedinuse: 6
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 160119
% 30.35/30.70 Kept: 25607
% 30.35/30.70 Inuse: 704
% 30.35/30.70 Deleted: 576
% 30.35/30.70 Deletedinuse: 6
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 189441
% 30.35/30.70 Kept: 28153
% 30.35/30.70 Inuse: 723
% 30.35/30.70 Deleted: 583
% 30.35/30.70 Deletedinuse: 13
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 207527
% 30.35/30.70 Kept: 31076
% 30.35/30.70 Inuse: 748
% 30.35/30.70 Deleted: 583
% 30.35/30.70 Deletedinuse: 13
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 223825
% 30.35/30.70 Kept: 33279
% 30.35/30.70 Inuse: 798
% 30.35/30.70 Deleted: 583
% 30.35/30.70 Deletedinuse: 13
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 239167
% 30.35/30.70 Kept: 35425
% 30.35/30.70 Inuse: 843
% 30.35/30.70 Deleted: 593
% 30.35/30.70 Deletedinuse: 23
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 259846
% 30.35/30.70 Kept: 37712
% 30.35/30.70 Inuse: 868
% 30.35/30.70 Deleted: 593
% 30.35/30.70 Deletedinuse: 23
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70
% 30.35/30.70 Intermediate Status:
% 30.35/30.70 Generated: 283512
% 30.35/30.70 Kept: 39928
% 30.35/30.70 Inuse: 878
% 30.35/30.70 Deleted: 593
% 30.35/30.70 Deletedinuse: 23
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying clauses:
% 30.35/30.70 Done
% 30.35/30.70
% 30.35/30.70 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 299213
% 80.40/80.86 Kept: 42376
% 80.40/80.86 Inuse: 888
% 80.40/80.86 Deleted: 1847
% 80.40/80.86 Deletedinuse: 28
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 313458
% 80.40/80.86 Kept: 44482
% 80.40/80.86 Inuse: 928
% 80.40/80.86 Deleted: 1847
% 80.40/80.86 Deletedinuse: 28
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 326261
% 80.40/80.86 Kept: 46482
% 80.40/80.86 Inuse: 962
% 80.40/80.86 Deleted: 1850
% 80.40/80.86 Deletedinuse: 31
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 336432
% 80.40/80.86 Kept: 48655
% 80.40/80.86 Inuse: 978
% 80.40/80.86 Deleted: 1850
% 80.40/80.86 Deletedinuse: 31
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 348614
% 80.40/80.86 Kept: 50666
% 80.40/80.86 Inuse: 1011
% 80.40/80.86 Deleted: 1856
% 80.40/80.86 Deletedinuse: 37
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 361925
% 80.40/80.86 Kept: 52788
% 80.40/80.86 Inuse: 1038
% 80.40/80.86 Deleted: 1856
% 80.40/80.86 Deletedinuse: 37
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 382855
% 80.40/80.86 Kept: 55565
% 80.40/80.86 Inuse: 1053
% 80.40/80.86 Deleted: 1856
% 80.40/80.86 Deletedinuse: 37
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 402422
% 80.40/80.86 Kept: 58115
% 80.40/80.86 Inuse: 1083
% 80.40/80.86 Deleted: 1856
% 80.40/80.86 Deletedinuse: 37
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 426782
% 80.40/80.86 Kept: 60312
% 80.40/80.86 Inuse: 1098
% 80.40/80.86 Deleted: 1858
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 450903
% 80.40/80.86 Kept: 62328
% 80.40/80.86 Inuse: 1103
% 80.40/80.86 Deleted: 1858
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying clauses:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 462838
% 80.40/80.86 Kept: 64338
% 80.40/80.86 Inuse: 1129
% 80.40/80.86 Deleted: 2985
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 477856
% 80.40/80.86 Kept: 66424
% 80.40/80.86 Inuse: 1158
% 80.40/80.86 Deleted: 2985
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 517826
% 80.40/80.86 Kept: 69112
% 80.40/80.86 Inuse: 1173
% 80.40/80.86 Deleted: 2985
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 541370
% 80.40/80.86 Kept: 71272
% 80.40/80.86 Inuse: 1198
% 80.40/80.86 Deleted: 2985
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 568334
% 80.40/80.86 Kept: 73650
% 80.40/80.86 Inuse: 1208
% 80.40/80.86 Deleted: 2985
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 595785
% 80.40/80.86 Kept: 77825
% 80.40/80.86 Inuse: 1243
% 80.40/80.86 Deleted: 2985
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 609688
% 80.40/80.86 Kept: 80026
% 80.40/80.86 Inuse: 1253
% 80.40/80.86 Deleted: 2985
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 622525
% 80.40/80.86 Kept: 82035
% 80.40/80.86 Inuse: 1274
% 80.40/80.86 Deleted: 2986
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying clauses:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 641367
% 80.40/80.86 Kept: 84040
% 80.40/80.86 Inuse: 1307
% 80.40/80.86 Deleted: 4168
% 80.40/80.86 Deletedinuse: 39
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 667253
% 80.40/80.86 Kept: 86170
% 80.40/80.86 Inuse: 1312
% 80.40/80.86 Deleted: 4171
% 80.40/80.86 Deletedinuse: 42
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 694479
% 80.40/80.86 Kept: 88691
% 80.40/80.86 Inuse: 1337
% 80.40/80.86 Deleted: 4195
% 80.40/80.86 Deletedinuse: 66
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 717616
% 80.40/80.86 Kept: 91136
% 80.40/80.86 Inuse: 1347
% 80.40/80.86 Deleted: 4195
% 80.40/80.86 Deletedinuse: 66
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 734559
% 80.40/80.86 Kept: 93222
% 80.40/80.86 Inuse: 1362
% 80.40/80.86 Deleted: 4195
% 80.40/80.86 Deletedinuse: 66
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 751393
% 80.40/80.86 Kept: 95260
% 80.40/80.86 Inuse: 1387
% 80.40/80.86 Deleted: 4195
% 80.40/80.86 Deletedinuse: 66
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86 Resimplifying inuse:
% 80.40/80.86 Done
% 80.40/80.86
% 80.40/80.86
% 80.40/80.86 Intermediate Status:
% 80.40/80.86 Generated: 777757
% 202.70/203.20 Kept: 98780
% 202.70/203.20 Inuse: 1417
% 202.70/203.20 Deleted: 4195
% 202.70/203.20 Deletedinuse: 66
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 793439
% 202.70/203.20 Kept: 100892
% 202.70/203.20 Inuse: 1440
% 202.70/203.20 Deleted: 4199
% 202.70/203.20 Deletedinuse: 68
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 810161
% 202.70/203.20 Kept: 102913
% 202.70/203.20 Inuse: 1465
% 202.70/203.20 Deleted: 4200
% 202.70/203.20 Deletedinuse: 69
% 202.70/203.20
% 202.70/203.20 Resimplifying clauses:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 835273
% 202.70/203.20 Kept: 106709
% 202.70/203.20 Inuse: 1485
% 202.70/203.20 Deleted: 5887
% 202.70/203.20 Deletedinuse: 70
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 863538
% 202.70/203.20 Kept: 109856
% 202.70/203.20 Inuse: 1505
% 202.70/203.20 Deleted: 5887
% 202.70/203.20 Deletedinuse: 70
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 891002
% 202.70/203.20 Kept: 112099
% 202.70/203.20 Inuse: 1545
% 202.70/203.20 Deleted: 5887
% 202.70/203.20 Deletedinuse: 70
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 915007
% 202.70/203.20 Kept: 114118
% 202.70/203.20 Inuse: 1579
% 202.70/203.20 Deleted: 5888
% 202.70/203.20 Deletedinuse: 71
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 940293
% 202.70/203.20 Kept: 116370
% 202.70/203.20 Inuse: 1620
% 202.70/203.20 Deleted: 5888
% 202.70/203.20 Deletedinuse: 71
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 959885
% 202.70/203.20 Kept: 118798
% 202.70/203.20 Inuse: 1650
% 202.70/203.20 Deleted: 5889
% 202.70/203.20 Deletedinuse: 72
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 974302
% 202.70/203.20 Kept: 120911
% 202.70/203.20 Inuse: 1670
% 202.70/203.20 Deleted: 5889
% 202.70/203.20 Deletedinuse: 72
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 988547
% 202.70/203.20 Kept: 123269
% 202.70/203.20 Inuse: 1690
% 202.70/203.20 Deleted: 5889
% 202.70/203.20 Deletedinuse: 72
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying clauses:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1002631
% 202.70/203.20 Kept: 125488
% 202.70/203.20 Inuse: 1710
% 202.70/203.20 Deleted: 6894
% 202.70/203.20 Deletedinuse: 72
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1020190
% 202.70/203.20 Kept: 127536
% 202.70/203.20 Inuse: 1739
% 202.70/203.20 Deleted: 6902
% 202.70/203.20 Deletedinuse: 79
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1040202
% 202.70/203.20 Kept: 130776
% 202.70/203.20 Inuse: 1742
% 202.70/203.20 Deleted: 6902
% 202.70/203.20 Deletedinuse: 79
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1051079
% 202.70/203.20 Kept: 132857
% 202.70/203.20 Inuse: 1784
% 202.70/203.20 Deleted: 7037
% 202.70/203.20 Deletedinuse: 214
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1065315
% 202.70/203.20 Kept: 134971
% 202.70/203.20 Inuse: 1794
% 202.70/203.20 Deleted: 7041
% 202.70/203.20 Deletedinuse: 218
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1079938
% 202.70/203.20 Kept: 137064
% 202.70/203.20 Inuse: 1809
% 202.70/203.20 Deleted: 7041
% 202.70/203.20 Deletedinuse: 218
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1090755
% 202.70/203.20 Kept: 139193
% 202.70/203.20 Inuse: 1837
% 202.70/203.20 Deleted: 7050
% 202.70/203.20 Deletedinuse: 225
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1100652
% 202.70/203.20 Kept: 141198
% 202.70/203.20 Inuse: 1866
% 202.70/203.20 Deleted: 7050
% 202.70/203.20 Deletedinuse: 225
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1109443
% 202.70/203.20 Kept: 143201
% 202.70/203.20 Inuse: 1888
% 202.70/203.20 Deleted: 7050
% 202.70/203.20 Deletedinuse: 225
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1123963
% 202.70/203.20 Kept: 145211
% 202.70/203.20 Inuse: 1897
% 202.70/203.20 Deleted: 7050
% 202.70/203.20 Deletedinuse: 225
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying clauses:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1138299
% 202.70/203.20 Kept: 147932
% 202.70/203.20 Inuse: 1902
% 202.70/203.20 Deleted: 11739
% 202.70/203.20 Deletedinuse: 229
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1159847
% 202.70/203.20 Kept: 152626
% 202.70/203.20 Inuse: 1928
% 202.70/203.20 Deleted: 11739
% 202.70/203.20 Deletedinuse: 229
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 Generated: 1169663
% 202.70/203.20 Kept: 154670
% 202.70/203.20 Inuse: 1946
% 202.70/203.20 Deleted: 11739
% 202.70/203.20 Deletedinuse: 229
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20 Resimplifying inuse:
% 202.70/203.20 Done
% 202.70/203.20
% 202.70/203.20
% 202.70/203.20 Intermediate Status:
% 202.70/203.20 GenCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------