TSTP Solution File: SWV593-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV593-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 300.02s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV593-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.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 : Tue Jun 14 18:43:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.02/1.42 *** allocated 10000 integers for termspace/termends
% 1.02/1.42 *** allocated 10000 integers for clauses
% 1.02/1.42 *** allocated 10000 integers for justifications
% 1.02/1.42 *** allocated 15000 integers for termspace/termends
% 1.02/1.42 *** allocated 22500 integers for termspace/termends
% 1.02/1.42 *** allocated 33750 integers for termspace/termends
% 1.02/1.42 Bliksem 1.12
% 1.02/1.42
% 1.02/1.42
% 1.02/1.42 Automatic Strategy Selection
% 1.02/1.42
% 1.02/1.42 Clauses:
% 1.02/1.42 [
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.42 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.02/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.42 ],
% 1.02/1.42 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.02/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.42 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.42 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.02/1.42 X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.42 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.42 , Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.42 ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.42 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.02/1.42 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.42 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.42 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.42 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.02/1.42 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.42 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.02/1.42 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.42 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.42 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.02/1.42 , Z ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.42 , X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.42 , X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.42 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.42 , X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.42 , X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.42 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.02/1.42 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.42 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.42 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.02/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.42 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.42 ) ],
% 1.02/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.42 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.42 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.02/1.42 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.02/1.42 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.42 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.02/1.42 [ =( 'c_Log_Olog'( X, 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.02/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Log_Olog'( X,
% 1.02/1.42 Y ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.42 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.42 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.42 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.42 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.42 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.02/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.02/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.42 , X ) ) ],
% 1.02/1.42 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.02/1.42 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 1.02/1.42 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.02/1.42 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.42 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.02/1.42 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.42 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.42 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.42 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.42 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.42 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.42 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.42 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.42 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.42 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.42 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.42 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.02/1.42 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.42 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.42 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.02/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.02/1.42 X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.02/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.42 Z, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.02/1.42 Z, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.42 X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.42 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.42 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 X ), T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.42 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.42 T, X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.42 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.02/1.42 Y, X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.02/1.42 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.42 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.42 T, X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.42 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.02/1.42 Y, X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.42 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.42 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.42 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.02/1.42 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Osgn__div__norm'( X ) ), =(
% 1.02/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.02/1.42 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_Onorm__class_Onorm'( Y, X
% 1.02/1.42 ), 'tc_RealDef_Oreal' ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.42 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.42 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.42 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.42 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.02/1.42 ],
% 1.02/1.42 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.42 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.02/1.42 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.02/1.42 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.42 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.42 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.42 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.42 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.42 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.42 ) ) ],
% 1.02/1.42 [ =( 'c_Log_Olog'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.42 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Log_Olog'( X, Y )
% 1.02/1.42 , 'c_Log_Olog'( X, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.42 ), Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.42 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.42 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ =( 'c_Log_Opowr'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.02/1.42 'tc_RealDef_Oreal' ), Z ), 'c_HOL_Oinverse__class_Odivide'( 'c_Log_Opowr'(
% 1.02/1.42 X, Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.42 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.42 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.42 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 1.02/1.42 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.42 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 1.02/1.42 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.42 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.02/1.42 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.42 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.42 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.02/1.42 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.42 X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.42 X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.02/1.42 ) ],
% 1.02/1.42 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.02/1.42 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.42 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.42 ,
% 1.02/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.42 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.02/1.42 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.42 'tc_RealDef_Oreal' ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.02/1.42 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.42 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.42 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.02/1.42 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.02/1.42 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.02/1.42 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.42 ), =( Z, Y ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.02/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.42 ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.42 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.02/1.42 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.42 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.02/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.02/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.42 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.42 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.42 , X ) ) ), =( Y, Z ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.42 , X ) ) ), =( Y, Z ) ],
% 1.02/1.42 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.02/1.42 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.42 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.02/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.42 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.42 ) ],
% 1.02/1.42 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.42 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.42 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.42 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 1.02/1.42 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.02/1.42 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.42 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.42 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.42 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.02/1.42 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.42 'c_Transcendental_Oexp'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 1.02/1.42 'c_RealVector_Oof__real'( 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal'
% 1.02/1.42 ), X ) ) ],
% 1.02/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.02/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.42 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.02/1.42 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.02/1.42 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.02/1.42 ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.42 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 1.02/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.02/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_Log_Opowr'( 'c_Transcendental_Oln'( X ), Y ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( Y, Y ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.02/1.43 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.02/1.43 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.02/1.43 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.43 , X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.02/1.43 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.02/1.43 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.02/1.43 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.02/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_Transcendental_Oln'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.43 , 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'( 'c_Log_Opowr'(
% 1.02/1.43 X, Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'c_Ring__and__Field_Ozero__neq__one'( X, X, Y ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.43 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.02/1.43 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_Transcendental_Oln'( X ), X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oln'( Y ), Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_Transcendental_Oexp'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.43 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.43 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.43 Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.43 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.02/1.43 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.02/1.43 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Oexp'(
% 1.02/1.43 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1'( X ),
% 1.02/1.43 'tc_RealDef_Oreal' ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.43 T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.43 X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.43 T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 T, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.43 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.43 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 Y, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.43 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.43 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.02/1.43 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.43 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.43 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.43 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.43 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.02/1.43 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( X
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.43 , X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.43 , X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.43 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ =( 'c_Log_Olog'( X, 'c_Log_Opowr'( Y, Z ) ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Log_Olog'( X, Y ), 'tc_RealDef_Oreal'
% 1.02/1.43 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.43 , Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.43 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.02/1.43 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 1.02/1.43 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.43 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.02/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.43 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.43 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.02/1.43 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.43 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.43 , X ), W, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.43 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.02/1.43 , X ), T, X ), W, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.02/1.43 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.43 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'(
% 1.02/1.43 'c_Log_Opowr'( X, Z ), Y ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.43 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.43 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.43 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.43 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.02/1.43 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 1.02/1.43 =( Y, Z ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.02/1.43 , X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.02/1.43 , X ), Z, X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 1.02/1.43 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Oln'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.02/1.43 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.43 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.02/1.43 ), X ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 1.02/1.43 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 1.02/1.43 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.43 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.43 ), X ), Y ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.43 , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.43 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , Y, X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , Y, X ) ) ],
% 1.02/1.43 [ =( 'c_Log_Olog'( X, Y ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_Transcendental_Oln'( Y ), 'c_Transcendental_Oln'( X ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.02/1.43 , T, X ), X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 1.02/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( Z, T, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( T, Y, X ),
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.43 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.43 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_lessequals'( Z, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.43 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.02/1.43 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.02/1.43 , T, X ), X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, Z
% 1.02/1.43 , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 1.02/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.43 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.02/1.43 X ) ) ), =( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.02/1.43 X ) ) ), =( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.43 X ) ) ), =( Y, T ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.02/1.43 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.02/1.43 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.02/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), X ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), X ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.02/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.02/1.43 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.02/1.43 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.02/1.43 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.02/1.43 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.43 , U, X ), X ), X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ =( 'c_Log_Olog'( X, 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'( 'c_Log_Olog'( X, Y
% 1.02/1.43 ), 'c_Log_Olog'( X, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.43 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.02/1.43 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.02/1.43 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.02/1.43 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.02/1.43 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.02/1.43 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.02/1.43 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.02/1.43 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.02/1.43 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.02/1.43 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.02/1.43 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.02/1.43 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.02/1.43 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.02/1.43 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ), Z,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.02/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.02/1.43 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.02/1.43 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.43 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.43 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.43 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.43 , T, X ) ) ), =( Z, T ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.02/1.43 , T, X ) ) ), =( Y, Z ) ],
% 1.02/1.43 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'( X ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( 'c_NthRoot_Osqrt'(
% 1.02/1.43 X ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.02/1.43 , T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.02/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.43 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.43 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.43 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'(
% 1.02/1.43 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1'( X ),
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.02/1.43 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.02/1.43 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.02/1.43 'c_lessequals'( Y, Z, X ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.02/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.43 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.43 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.02/1.43 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.02/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Oabs__class_Oabs'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.02/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.43 , U, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.02/1.43 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.02/1.43 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.02/1.43 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.02/1.43 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.02/1.43 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.43 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.43 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.43 , X ), X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.02/1.43 , X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.02/1.43 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 1.02/1.43 ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 1.02/1.43 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 1.02/1.43 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.02/1.43 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.02/1.43 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.43 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.02/1.43 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.43 , Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'(
% 1.02/1.43 Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.02/1.43 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.43 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.43 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.02/1.43 , Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.43 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.02/1.43 ,
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.02/1.43 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.02/1.43 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.02/1.43 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.43 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ =( 'c_Log_Opowr'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), Z ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X
% 1.02/1.43 , Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'(
% 1.02/1.43 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'(
% 1.02/1.43 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.02/1.43 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 1.02/1.43 'c_RealVector_Oof__real'( 'c_HOL_Osgn__class_Osgn'( Y, 'tc_RealDef_Oreal'
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 1.02/1.43 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y
% 1.02/1.43 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ =( 'c_Log_Opowr'( X, Y ), 'c_Transcendental_Oexp'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Transcendental_Oln'( X ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.43 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.43 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.02/1.43 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.43 , X ), W, X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.02/1.43 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.02/1.43 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.02/1.43 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.02/1.43 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.43 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 1.02/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 1.02/1.43 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 1.02/1.43 , ~( 'c_lessequals'( Y, W, X ) ) ],
% 1.02/1.43 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.02/1.43 ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ) ],
% 1.02/1.43 [ =( 'c_Log_Opowr'( X, 'c_Log_Olog'( X, Y ) ), Y ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), Y, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.43 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.02/1.43 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.02/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.02/1.43 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 1.02/1.43 X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.02/1.43 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.43 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.02/1.43 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.02/1.43 , T, X ), X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.43 'c_RealVector_Oof__real'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.43 , X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.02/1.43 , X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.02/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.02/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.02/1.43 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.02/1.43 , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.02/1.43 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.43 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.43 Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.02/1.43 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.43 ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 X ), T, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.43 ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.02/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.43 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.02/1.43 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.43 Z, Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.02/1.43 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.02/1.43 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.43 'tc_RealDef_Oreal' ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.02/1.43 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.02/1.43 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Log_Opowr'( X, Y ),
% 1.02/1.43 'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X,
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.02/1.43 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.02/1.43 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.02/1.43 , Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ) ) ],
% 1.02/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.02/1.43 ), Y ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.43 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.43 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.02/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.43 , X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.02/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.02/1.43 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.02/1.43 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.02/1.43 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.02/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.02/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.43 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.43 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.02/1.43 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.43 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.02/1.43 ) ],
% 1.02/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.43 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.43 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.02/1.43 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.02/1.43 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.02/1.43 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.02/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.02/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.43 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.02/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.02/1.43 , Y, X ) ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.43 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , Z, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.02/1.43 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.43 , Z, X ) ],
% 1.02/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.02/1.44 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.02/1.44 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , T, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.02/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , T, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.02/1.44 Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.02/1.44 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.02/1.44 W, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.02/1.44 , X ), T, X ), W, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.02/1.44 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.02/1.44 W, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.02/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.44 , X ), W, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.02/1.44 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.02/1.44 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 1.02/1.44 Z, X ) ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Oln'( 'c_Log_Opowr'( X, Y ) ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Transcendental_Oln'( X ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.02/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.44 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ =( 'c_Log_Opowr'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X, Y
% 1.02/1.44 ), 'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Oln'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.44 , 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Oln'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.02/1.44 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.02/1.44 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 1.02/1.44 X ), Z, X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.44 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.02/1.44 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'( X,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.02/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.02/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Log_Olog'( X, Y ), 'c_Log_Olog'( X, Z ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_Log_Olog'( Z, X ), 'c_Log_Olog'( Z, Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.02/1.44 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.02/1.44 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.44 , Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.02/1.44 , Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.02/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( Y
% 1.02/1.44 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.02/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.02/1.44 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.02/1.44 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.02/1.44 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 1.02/1.44 X ), Z, X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.02/1.44 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.02/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.02/1.44 'c_lessequals'( Y, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.02/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.02/1.44 'c_lessequals'( Y, Z, X ) ],
% 1.02/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.02/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.02/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Transcendental_Oln'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.02/1.44 , X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.02/1.44 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.02/1.44 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.44 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.02/1.44 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.02/1.44 ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.02/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.02/1.44 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.02/1.44 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.02/1.44 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.44 'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.02/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.02/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.02/1.44 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ =( 'c_Log_Olog'( X, Y ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oln'( Z ),
% 1.02/1.44 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), 'c_Log_Olog'( Z, Y ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44 ), =( Z, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), Z, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.02/1.44 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.02/1.44 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.02/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ =( 'c_Complex_Ocis'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.02/1.44 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.02/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.44 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.44 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.02/1.44 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ), =( Y, Z ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ), =( Y, Z ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.44 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.02/1.44 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.02/1.44 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.02/1.44 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 1.02/1.44 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.02/1.44 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.02/1.44 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.44 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.02/1.44 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.02/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.02/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.02/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.02/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.02/1.44 ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.02/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.02/1.44 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 1.02/1.44 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.02/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.02/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.02/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Log_Opowr'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.02/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ) ],
% 1.02/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.02/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.02/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.02/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.02/1.44 X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.02/1.44 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.02/1.44 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.02/1.44 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X
% 1.02/1.44 ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Osgn__class_Osgn'(
% 1.02/1.44 Y, 'tc_RealDef_Oreal' ), 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.02/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.02/1.44 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.02/1.44 Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.02/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.02/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.02/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.02/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.02/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ), ~(
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.02/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.02/1.44 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.02/1.44 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 1.02/1.44 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.02/1.44 X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1',
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.02/1.44 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.02/1.44 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.02/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.02/1.44 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.02/1.44 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.02/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.02/1.44 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ =( 'c_Transcendental_Oln'( X ), 'c_Log_Olog'( 'c_Transcendental_Oexp'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.02/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.02/1.44 X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Z, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Z, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.02/1.44 X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.02/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.02/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.02/1.44 ,
% 1.02/1.44 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.02/1.44 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.02/1.44 , X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.02/1.44 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.02/1.44 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.44 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.02/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.02/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.02/1.44 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.02/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 1.02/1.44 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.02/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.02/1.44 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Log_Opowr'( X, Y ), Y,
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.02/1.44 ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 1.02/1.44 , 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.02/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.02/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.02/1.44 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.02/1.44 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.02/1.44 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 1.02/1.44 ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.02/1.44 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.02/1.44 ) ],
% 1.02/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.02/1.44 , X ), X ), Y ) ],
% 1.02/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.02/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.02/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.02/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.02/1.44 ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44 , Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44 , T, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.02/1.44 , T, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.02/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.02/1.44 , Y, X ), X ) ) ],
% 1.02/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.02/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.02/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.02/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.02/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.02/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.02/1.44 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.02/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.02/1.44 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.02/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.06/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.06/1.44 'c_HOL_Ouminus__class_Ouminus'(
% 1.06/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.06/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.06/1.44 , X ), X ), X ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.06/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.06/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.06/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.06/1.44 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.06/1.44 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.06/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.06/1.44 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.06/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.06/1.44 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 1.06/1.44 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.06/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.06/1.44 ), X ) ) ],
% 1.06/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.06/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.06/1.44 , X ) ) ],
% 1.06/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.06/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.06/1.44 , X ) ) ],
% 1.06/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Oarctan'( X ),
% 1.06/1.44 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_Transcendental_Oarctan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.06/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y,
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.06/1.44 ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.06/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.06/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.06/1.44 ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.06/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.06/1.44 Y, X ), X ) ],
% 1.06/1.44 [ =( 'c_Log_Olog'( X, 'c_Log_Opowr'( X, Y ) ), Y ), =( X,
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.06/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.06/1.44 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.06/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.06/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.06/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.06/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.06/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.06/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.06/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.06/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.06/1.44 'c_lessequals'( Z, Y, X ) ],
% 1.06/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.06/1.44 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.06/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.06/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 1.06/1.44 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 1.06/1.44 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 1.06/1.44 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.06/1.44 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.06/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1'( X ),
% 1.06/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Log_Olog'( X, X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 1.06/1.44 ) ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.06/1.44 ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ =( 'c_Complex_Oii', 'c_Complex_Ocomplex_OComplex'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.06/1.44 [ ~( =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.06/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.06/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Oln'(
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_Log_Olog'( Z, X ), 'c_Log_Olog'( Z, Y ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.06/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.06/1.44 , Z, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Olog'( X, Y ), 'c_Log_Olog'( X, Z )
% 1.06/1.44 , 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.06/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.06/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.06/1.44 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.06/1.44 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.06/1.44 'c_Complex_Oii' ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.06/1.44 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.06/1.44 ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 1.06/1.44 , 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.06/1.44 ],
% 1.06/1.44 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 1.06/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.06/1.44 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.06/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.06/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1'( X ), X,
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.06/1.44 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 1.06/1.44 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.06/1.44 ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 1.06/1.44 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 1.06/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.06/1.44 , 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.06/1.44 ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.06/1.44 ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.06/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 1.06/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.06/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.06/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ),
% 1.06/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.06/1.44 [ =( 'c_Log_Opowr'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X )
% 1.06/1.44 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.06/1.44 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.06/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 1.06/1.44 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.06/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.06/1.44 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.06/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.06/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'(
% 1.06/1.44 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.06/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.06/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.06/1.44 ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.06/1.44 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.06/1.44 ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X )
% 1.06/1.44 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Osin'( X )
% 1.06/1.44 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.06/1.44 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.06/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.06/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.06/1.44 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.06/1.44 ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.06/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.06/1.44 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.06/1.44 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.06/1.44 ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.06/1.44 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Complex_Ocis'( X ), 'c_Complex_Ocomplex_OComplex'(
% 1.06/1.44 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'( X ) ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.06/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.06/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.06/1.44 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.06/1.44 ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.06/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.06/1.44 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 1.06/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.06/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.06/1.44 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocomplex_OComplex'(
% 1.06/1.44 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'( X ) ),
% 1.06/1.44 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.06/1.44 ],
% 1.06/1.44 [ =( 'c_Transcendental_Otan'( 'v_x' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.06/1.44 'c_Transcendental_Osin'( 'v_x' ), 'c_Transcendental_Ocos'( 'v_x' ),
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.06/1.44 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 X ), X ) ) ],
% 1.06/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.06/1.44 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.06/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.06/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.06/1.44 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.06/1.44 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ),
% 1.06/1.44 'c_Ring__and__Field_Ozero__neq__one'( 'c_HOL_Oone__class_Oone'( X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.06/1.44 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.06/1.44 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.06/1.44 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.06/1.44 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.06/1.44 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.06/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.06/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.06/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.06/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.06/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.06/1.44 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.06/1.44 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.06/1.44 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.06/1.44 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.06/1.44 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.06/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.06/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.06/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.06/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.06/1.44 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.06/1.44 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.06/1.44 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.06/1.44 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.06/1.44 ) ],
% 1.06/1.44 [ =( 'c_Log_Olog'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Ocos'(
% 1.06/1.44 'c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1' ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.06/1.44 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.06/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.06/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.06/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.06/1.44 ],
% 1.06/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.06/1.44 ) ],
% 1.06/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.06/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Osin'( 'v_x' ), 'c_HOL_Ozero__class_Ozero'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ =( 'c_Transcendental_Ocos'( 'v_x' ), 'c_HOL_Oone__class_Oone'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.06/1.44 ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.06/1.44 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.06/1.44 ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.06/1.44 ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__div__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Osgn__div__norm'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.06/1.44 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.06/1.44 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.06/1.44 ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.06/1.44 ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ,
% 1.06/1.44 [ 'class_RealVector_Oreal__div__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_RealVector_Osgn__div__norm'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_RealVector_Odist__norm'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.06/1.44 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ]
% 1.06/1.44 ] .
% 1.06/1.44
% 1.06/1.44
% 1.06/1.44 percentage equality = 0.236576, percentage horn = 0.872445
% 1.06/1.44 This is a problem with some equality
% 1.06/1.44
% 1.06/1.44
% 1.06/1.44
% 1.06/1.44 Options Used:
% 1.06/1.44
% 1.06/1.44 useres = 1
% 1.06/1.44 useparamod = 1
% 1.06/1.44 useeqrefl = 1
% 1.06/1.44 useeqfact = 1
% 1.06/1.44 usefactor = 1
% 1.06/1.44 usesimpsplitting = 0
% 1.06/1.44 usesimpdemod = 5
% 1.06/1.44 usesimpres = 3
% 1.06/1.44
% 1.06/1.44 resimpinuse = 1000
% 1.06/1.44 resimpclauses = 20000
% 1.06/1.44 substype = eqrewr
% 1.06/1.44 backwardsubs = 1
% 1.06/1.44 selectoldest = 5
% 1.06/1.44
% 1.06/1.44 litorderings [0] = split
% 1.06/1.44 litorderings [1] = extend the termordering, first sorting on arguments
% 1.06/1.44
% 1.06/1.44 termordering = kbo
% 1.06/1.44
% 1.06/1.44 litapriori = 0
% 1.06/1.44 termapriori = 1
% 1.06/1.44 litaposteriori = 0
% 1.06/1.44 termaposteriori = 0
% 1.06/1.44 demodaposteriori = 0
% 1.06/1.44 ordereqreflfact = 0
% 1.06/1.44
% 1.06/1.44 litselect = negord
% 1.06/1.44
% 1.06/1.44 maxweight = 15
% 1.06/1.44 maxdepth = 30000
% 1.06/1.44 maxlength = 115
% 1.06/1.44 maxnrvars = 195
% 1.06/1.44 excuselevel = 1
% 1.06/1.44 increasemaxweight = 1
% 1.06/1.44
% 1.06/1.44 maxselected = 10000000
% 1.06/1.44 maxnrclauses = 10000000
% 1.06/1.44
% 1.06/1.44 showgenerated = 0
% 1.06/1.44 showkept = 0
% 1.06/1.44 showselected = 0
% 1.06/1.44 showdeleted = 0
% 1.06/1.44 showresimp = 1
% 1.06/1.44 showstatus = 2000
% 1.06/1.44
% 1.06/1.44 prologoutput = 1
% 1.06/1.44 nrgoals = 5000000
% 1.06/1.44 totalproof = 1
% 1.06/1.44
% 1.06/1.44 Symbols occurring in the translation:
% 1.06/1.44
% 1.06/1.44 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.06/1.44 . [1, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.06/1.44 ! [4, 1] (w:0, o:64, a:1, s:1, b:0),
% 1.06/1.44 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.06/1.44 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.06/1.44 'class_OrderedGroup_Olordered__ab__group__add' [40, 1] (w:1, o:69, a:
% 1.06/1.44 1, s:1, b:0),
% 1.06/1.44 'c_HOL_Ouminus__class_Ouminus' [43, 2] (w:1, o:181, a:1, s:1, b:0),
% 1.06/1.44 'c_lessequals' [44, 3] (w:1, o:195, a:1, s:1, b:0),
% 1.06/1.44 'c_HOL_Oplus__class_Oplus' [45, 3] (w:1, o:197, a:1, s:1, b:0),
% 1.06/1.44 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.06/1.44 'tc_RealDef_Oreal' [49, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.06/1.44 'class_Ring__and__Field_Oring' [50, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.06/1.44 'c_HOL_Otimes__class_Otimes' [51, 3] (w:1, o:198, a:1, s:1, b:0),
% 1.06/1.44 'class_RealVector_Oreal__normed__vector' [52, 1] (w:1, o:72, a:1, s:1
% 1.06/1.44 , b:0),
% 1.06/1.44 'c_HOL_Osgn__class_Osgn' [53, 2] (w:1, o:182, a:1, s:1, b:0),
% 1.06/1.44 'class_RealVector_Ometric__space' [54, 1] (w:1, o:73, a:1, s:1, b:0)
% 1.06/1.44 ,
% 1.06/1.44 'c_RealVector_Odist__class_Odist' [55, 3] (w:1, o:199, a:1, s:1, b:0)
% 1.06/1.44 ,
% 1.06/1.44 'c_HOL_Oord__class_Oless' [56, 3] (w:1, o:196, a:1, s:1, b:0),
% 1.06/1.44 'class_Ring__and__Field_Ofield' [57, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.06/1.44 'class_Ring__and__Field_Odivision__by__zero' [58, 1] (w:1, o:77, a:1
% 1.06/1.44 , s:1, b:0),
% 1.06/1.44 'c_HOL_Oinverse__class_Odivide' [59, 3] (w:1, o:200, a:1, s:1, b:0),
% 1.06/1.44
% 1.06/1.44 'class_Ring__and__Field_Opordered__ring__abs' [62, 1] (w:1, o:86, a:1
% 1.06/1.44 , s:1, b:0),
% 1.06/1.44 'c_HOL_Oabs__class_Oabs' [63, 2] (w:1, o:183, a:1, s:1, b:0),
% 1.06/1.44 'class_Ring__and__Field_Oordered__idom' [64, 1] (w:1, o:79, a:1, s:1
% 1.06/1.44 , b:0),
% 1.06/1.44 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [65, 1]
% 1.06/1.44 (w:1, o:88, a:1, s:1, b:0),
% 1.06/1.44 'class_Ring__and__Field_Oordered__semidom' [67, 1] (w:1, o:81, a:1
% 1.06/1.44 , s:1, b:0),
% 1.06/1.44 'c_HOL_Oone__class_Oone' [68, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.06/1.44 'class_OrderedGroup_Oab__semigroup__idem__mult' [69, 1] (w:1, o:90
% 1.06/1.44 , a:1, s:1, b:0),
% 1.06/1.44 'class_OrderedGroup_Opordered__ab__group__add' [70, 1] (w:1, o:91, a:
% 1.06/1.44 1, s:1, b:0),
% 1.06/1.44 'c_HOL_Ominus__class_Ominus' [71, 3] (w:1, o:201, a:1, s:1, b:0),
% 1.06/1.44 'class_Lattices_Olattice' [72, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.06/1.44 'c_Lattices_Olower__semilattice__class_Oinf' [73, 3] (w:1, o:202, a:1
% 1.06/1.44 , s:1, b:0),
% 1.06/1.44 'class_Lattices_Olower__semilattice' [74, 1] (w:1, o:93, a:1, s:1, b:
% 1.06/1.44 0),
% 1.06/1.44 'class_Divides_Osemiring__div' [75, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.06/1.44 'c_Divides_Odiv__class_Odiv' [76, 3] (w:1, o:203, a:1, s:1, b:0),
% 1.06/1.44 'c_Divides_Odiv__class_Omod' [77, 3] (w:1, o:204, a:1, s:1, b:0),
% 1.06/1.44 'class_Ring__and__Field_Oordered__ring__strict' [78, 1] (w:1, o:80
% 1.06/1.44 , a:1, s:1, b:0),
% 1.06/1.44 'class_Ring__and__Field_Oordered__semiring__strict' [79, 1] (w:1, o:
% 1.06/1.44 82, a:1, s:1, b:0),
% 1.06/1.44 'class_OrderedGroup_Opordered__ab__group__add__abs' [81, 1] (w:1, o:
% 1.06/1.44 96, a:1, s:1, b:0),
% 1.06/1.44 'class_OrderedGroup_Ogroup__add' [82, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.06/1.44
% 1.06/1.44 'class_Lattices_Odistrib__lattice' [83, 1] (w:1, o:98, a:1, s:1, b:0)
% 1.06/1.44 ,
% 1.06/1.44 'c_Lattices_Oupper__semilattice__class_Osup' [84, 3] (w:1, o:205, a:1
% 1.06/1.44 , s:1, b:0),
% 1.06/1.44 'c_NthRoot_Osqrt' [85, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.06/1.44 'class_RealVector_Oreal__div__algebra' [86, 1] (w:1, o:100, a:1, s:1
% 1.06/1.44 , b:0),
% 1.06/1.44 'c_HOL_Oinverse__class_Oinverse' [87, 2] (w:1, o:184, a:1, s:1, b:0)
% 1.06/1.44 ,
% 1.06/1.44 'c_RealVector_Oof__real' [88, 2] (w:1, o:186, a:1, s:1, b:0),
% 1.06/1.44 'c_Log_Olog' [89, 2] (w:1, o:187, a:1, s:1, b:0),
% 1.06/1.44 'c_Transcendental_Oexp' [90, 2] (w:1, o:188, a:1, s:1, b:0),
% 1.06/1.44 'class_RealVector_Oreal__normed__field' [91, 1] (w:1, o:101, a:1, s:1
% 1.06/1.44 , b:0),
% 1.06/1.44 'class_Ring__and__Field_Oordered__field' [93, 1] (w:1, o:83, a:1, s:1
% 3.43/3.83 , b:0),
% 3.43/3.83 'c_Complex_Ocomplex_OComplex' [96, 2] (w:1, o:189, a:1, s:1, b:0),
% 3.43/3.83 'class_Ring__and__Field_Omult__mono1' [99, 1] (w:1, o:103, a:1, s:1
% 3.43/3.83 , b:0),
% 3.43/3.83 'class_Ring__and__Field_Omult__mono' [100, 1] (w:1, o:104, a:1, s:1
% 3.43/3.83 , b:0),
% 3.43/3.83 'class_Ring__and__Field_Opordered__ring' [101, 1] (w:1, o:105, a:1
% 3.43/3.83 , s:1, b:0),
% 3.43/3.83 'class_Orderings_Olinorder' [102, 1] (w:1, o:106, a:1, s:1, b:0),
% 3.43/3.83 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [103, 2] (w:1
% 3.43/3.83 , o:190, a:1, s:1, b:0),
% 3.43/3.83 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [104, 2] (w:1
% 3.43/3.83 , o:191, a:1, s:1, b:0),
% 3.43/3.83 'class_Ring__and__Field_Oidom' [105, 1] (w:1, o:107, a:1, s:1, b:0),
% 3.43/3.83
% 3.43/3.83 'class_Int_Onumber__ring' [106, 1] (w:1, o:108, a:1, s:1, b:0),
% 3.43/3.83 'class_Ring__and__Field_Odivision__ring' [108, 1] (w:1, o:109, a:1
% 3.43/3.83 , s:1, b:0),
% 3.43/3.83 'class_Lattices_Oupper__semilattice' [109, 1] (w:1, o:110, a:1, s:1
% 3.43/3.83 , b:0),
% 3.43/3.83 'tc_Complex_Ocomplex' [110, 0] (w:1, o:37, a:1, s:1, b:0),
% 3.43/3.83 'class_RealVector_Osgn__div__norm' [111, 1] (w:1, o:118, a:1, s:1, b:
% 3.43/3.83 0),
% 3.43/3.83 'c_RealVector_Onorm__class_Onorm' [112, 2] (w:1, o:185, a:1, s:1, b:0
% 3.43/3.83 ),
% 3.43/3.83 'c_RealVector_OscaleR__class_OscaleR' [113, 3] (w:1, o:206, a:1, s:1
% 3.43/3.83 , b:0),
% 3.43/3.83 'class_RealVector_Oreal__algebra__1' [114, 1] (w:1, o:111, a:1, s:1
% 3.43/3.83 , b:0),
% 3.43/3.83 'c_Transcendental_Otan' [115, 1] (w:1, o:121, a:1, s:1, b:0),
% 3.43/3.83 'c_Transcendental_Ocos' [116, 1] (w:1, o:122, a:1, s:1, b:0),
% 3.43/3.83 'c_Log_Opowr' [119, 2] (w:1, o:192, a:1, s:1, b:0),
% 3.43/3.83 'class_Orderings_Oorder' [120, 1] (w:1, o:123, a:1, s:1, b:0),
% 3.43/3.83 'class_OrderedGroup_Opordered__ab__semigroup__add' [121, 1] (w:1, o:
% 3.43/3.83 124, a:1, s:1, b:0),
% 3.43/3.83 'class_RealVector_Oreal__vector' [122, 1] (w:1, o:112, a:1, s:1, b:0)
% 3.43/3.83 ,
% 3.43/3.83 'class_Lattices_Oboolean__algebra' [126, 1] (w:1, o:125, a:1, s:1, b:
% 3.43/3.83 0),
% 3.43/3.83 'c_Transcendental_Opi' [127, 0] (w:1, o:38, a:1, s:1, b:0),
% 3.43/3.83 'class_OrderedGroup_Olordered__ab__group__add__abs' [128, 1] (w:1, o:
% 3.43/3.83 126, a:1, s:1, b:0),
% 3.43/3.83 'class_SEQ_Obanach' [129, 1] (w:1, o:136, a:1, s:1, b:0),
% 3.43/3.83 'c_Transcendental_Oln' [130, 1] (w:1, o:137, a:1, s:1, b:0),
% 3.43/3.83 'class_Ring__and__Field_Ocomm__semiring__1' [132, 1] (w:1, o:75, a:1
% 3.43/3.83 , s:1, b:0),
% 3.43/3.83 'class_OrderedGroup_Opordered__comm__monoid__add' [137, 1] (w:1, o:
% 3.43/3.83 138, a:1, s:1, b:0),
% 3.43/3.83 'c_Ring__and__Field_Ozero__neq__one' [138, 3] (w:1, o:207, a:1, s:1
% 3.43/3.83 , b:0),
% 3.43/3.83 'class_Ring__and__Field_Oabs__if' [140, 1] (w:1, o:127, a:1, s:1, b:0
% 3.43/3.83 ),
% 3.43/3.83 'class_Ring__and__Field_Oordered__semiring' [141, 1] (w:1, o:84, a:1
% 3.43/3.83 , s:1, b:0),
% 3.43/3.83 'class_Ring__and__Field_Opordered__cancel__semiring' [142, 1] (w:1
% 3.43/3.83 , o:128, a:1, s:1, b:0),
% 3.43/3.83 'class_RealVector_Oreal__normed__algebra' [143, 1] (w:1, o:113, a:1
% 3.43/3.83 , s:1, b:0),
% 3.43/3.83 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1' [144, 1
% 3.43/3.83 ] (w:1, o:119, a:1, s:1, b:0),
% 3.43/3.83 'class_OrderedGroup_Oab__semigroup__mult' [145, 1] (w:1, o:139, a:1
% 3.43/3.83 , s:1, b:0),
% 3.43/3.83 'class_Ring__and__Field_Ocomm__semiring' [149, 1] (w:1, o:76, a:1, s:
% 3.43/3.83 1, b:0),
% 3.43/3.83 'class_Ring__and__Field_Opordered__semiring' [151, 1] (w:1, o:129, a:
% 3.43/3.83 1, s:1, b:0),
% 3.43/3.83 'class_Divides_Oring__div' [152, 1] (w:1, o:94, a:1, s:1, b:0),
% 3.43/3.83 'c_Complex_Oii' [153, 0] (w:1, o:52, a:1, s:1, b:0),
% 3.43/3.83 'c_Transcendental_Osin' [156, 1] (w:1, o:120, a:1, s:1, b:0),
% 3.43/3.83 'c_Transcendental_Oarctan' [157, 1] (w:1, o:140, a:1, s:1, b:0),
% 3.43/3.83 'class_OrderedGroup_Ocomm__monoid__add' [159, 1] (w:1, o:141, a:1, s:
% 3.43/3.83 1, b:0),
% 3.43/3.83 'class_Ring__and__Field_Olordered__ring' [160, 1] (w:1, o:102, a:1
% 3.43/3.83 , s:1, b:0),
% 3.43/3.83 'class_RealVector_Oreal__normed__div__algebra' [161, 1] (w:1, o:114
% 3.43/3.83 , a:1, s:1, b:0),
% 3.43/3.83 'class_OrderedGroup_Olordered__ab__group__add__join' [162, 1] (w:1
% 3.43/3.83 , o:142, a:1, s:1, b:0),
% 3.43/3.83 'class_Orderings_Opreorder' [163, 1] (w:1, o:143, a:1, s:1, b:0),
% 3.43/3.83 'class_OrderedGroup_Oab__group__add' [164, 1] (w:1, o:144, a:1, s:1
% 3.43/3.83 , b:0),
% 3.43/3.83 'class_OrderedGroup_Oab__semigroup__add' [165, 1] (w:1, o:145, a:1
% 19.93/20.32 , s:1, b:0),
% 19.93/20.32 'class_OrderedGroup_Ocancel__ab__semigroup__add' [168, 1] (w:1, o:146
% 19.93/20.32 , a:1, s:1, b:0),
% 19.93/20.32 'class_OrderedGroup_Ocancel__semigroup__add' [169, 1] (w:1, o:147, a:
% 19.93/20.32 1, s:1, b:0),
% 19.93/20.32 hAPP [172, 2] (w:1, o:193, a:1, s:1, b:0),
% 19.93/20.32 'class_OrderedGroup_Olordered__ab__group__add__meet' [173, 1] (w:1
% 19.93/20.32 , o:148, a:1, s:1, b:0),
% 19.93/20.32 'class_RealVector_Oreal__algebra' [174, 1] (w:1, o:115, a:1, s:1, b:0
% 19.93/20.32 ),
% 19.93/20.32 'class_Ring__and__Field_Osemiring' [176, 1] (w:1, o:131, a:1, s:1, b:
% 19.93/20.32 0),
% 19.93/20.32 'class_RealVector_Oreal__field' [177, 1] (w:1, o:116, a:1, s:1, b:0)
% 19.93/20.32 ,
% 19.93/20.32 'class_Ring__and__Field_Osgn__if' [182, 1] (w:1, o:132, a:1, s:1, b:0
% 19.93/20.32 ),
% 19.93/20.32 'c_Complex_Oarg' [183, 1] (w:1, o:149, a:1, s:1, b:0),
% 19.93/20.32 'class_OrderedGroup_Oordered__ab__group__add' [184, 1] (w:1, o:87, a:
% 19.93/20.32 1, s:1, b:0),
% 19.93/20.32 'class_RealVector_Oreal__normed__algebra__1' [185, 1] (w:1, o:117, a:
% 19.93/20.32 1, s:1, b:0),
% 19.93/20.32 'class_Ring__and__Field_Oordered__comm__semiring__strict' [188, 1]
% 19.93/20.32 (w:1, o:85, a:1, s:1, b:0),
% 19.93/20.32 'c_Fun_Oid' [189, 2] (w:1, o:194, a:1, s:1, b:0),
% 19.93/20.32 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [191, 1]
% 19.93/20.32 (w:1, o:150, a:1, s:1, b:0),
% 19.93/20.32 'class_Ring__and__Field_Oring__no__zero__divisors' [192, 1] (w:1, o:
% 19.93/20.32 130, a:1, s:1, b:0),
% 19.93/20.32 'class_Ring__and__Field_Omult__zero' [193, 1] (w:1, o:133, a:1, s:1
% 19.93/20.32 , b:0),
% 19.93/20.32 'c_Complex_Ocis' [194, 1] (w:1, o:151, a:1, s:1, b:0),
% 19.93/20.32 'class_Ring__and__Field_Ono__zero__divisors' [195, 1] (w:1, o:78, a:1
% 19.93/20.32 , s:1, b:0),
% 19.93/20.32 'class_OrderedGroup_Omonoid__add' [196, 1] (w:1, o:152, a:1, s:1, b:0
% 19.93/20.32 ),
% 19.93/20.32 'class_OrderedGroup_Omonoid__mult' [197, 1] (w:1, o:153, a:1, s:1, b:
% 19.93/20.32 0),
% 19.93/20.32 'class_OrderedGroup_Ocomm__monoid__mult' [198, 1] (w:1, o:154, a:1
% 19.93/20.32 , s:1, b:0),
% 19.93/20.32 'c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1' [200, 0
% 19.93/20.32 ] (w:1, o:60, a:1, s:1, b:0),
% 19.93/20.32 'class_RealVector_Odist__norm' [203, 1] (w:1, o:134, a:1, s:1, b:0),
% 19.93/20.32
% 19.93/20.32 'c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1' [204, 1
% 19.93/20.32 ] (w:1, o:155, a:1, s:1, b:0),
% 19.93/20.32 't_a' [205, 0] (w:1, o:62, a:1, s:1, b:0),
% 19.93/20.32 'v_x' [206, 0] (w:1, o:63, a:1, s:1, b:0),
% 19.93/20.32 'class_Ring__and__Field_Ozero__neq__one' [207, 1] (w:1, o:135, a:1
% 19.93/20.32 , s:1, b:0).
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Starting Search:
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 3054
% 19.93/20.32 Kept: 2000
% 19.93/20.32 Inuse: 151
% 19.93/20.32 Deleted: 1
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 10354
% 19.93/20.32 Kept: 4425
% 19.93/20.32 Inuse: 245
% 19.93/20.32 Deleted: 1
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 20152
% 19.93/20.32 Kept: 6809
% 19.93/20.32 Inuse: 265
% 19.93/20.32 Deleted: 1
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 31244
% 19.93/20.32 Kept: 8971
% 19.93/20.32 Inuse: 310
% 19.93/20.32 Deleted: 1
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 39016
% 19.93/20.32 Kept: 11036
% 19.93/20.32 Inuse: 330
% 19.93/20.32 Deleted: 1
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 46562
% 19.93/20.32 Kept: 13053
% 19.93/20.32 Inuse: 385
% 19.93/20.32 Deleted: 3
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 53441
% 19.93/20.32 Kept: 15119
% 19.93/20.32 Inuse: 413
% 19.93/20.32 Deleted: 3
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 66391
% 19.93/20.32 Kept: 17121
% 19.93/20.32 Inuse: 458
% 19.93/20.32 Deleted: 4
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 79737
% 19.93/20.32 Kept: 19324
% 19.93/20.32 Inuse: 492
% 19.93/20.32 Deleted: 4
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32 Resimplifying clauses:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 89704
% 19.93/20.32 Kept: 22215
% 19.93/20.32 Inuse: 502
% 19.93/20.32 Deleted: 402
% 19.93/20.32 Deletedinuse: 0
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32 Resimplifying inuse:
% 19.93/20.32 Done
% 19.93/20.32
% 19.93/20.32
% 19.93/20.32 Intermediate Status:
% 19.93/20.32 Generated: 100786
% 19.93/20.32 Kept: 24415
% 19.93/20.32 Inuse: 559
% 57.97/58.37 Deleted: 402
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 110578
% 57.97/58.37 Kept: 26632
% 57.97/58.37 Inuse: 582
% 57.97/58.37 Deleted: 402
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 127985
% 57.97/58.37 Kept: 29235
% 57.97/58.37 Inuse: 597
% 57.97/58.37 Deleted: 402
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 140643
% 57.97/58.37 Kept: 31429
% 57.97/58.37 Inuse: 607
% 57.97/58.37 Deleted: 402
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 152352
% 57.97/58.37 Kept: 33546
% 57.97/58.37 Inuse: 632
% 57.97/58.37 Deleted: 402
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 162733
% 57.97/58.37 Kept: 35546
% 57.97/58.37 Inuse: 660
% 57.97/58.37 Deleted: 402
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 173551
% 57.97/58.37 Kept: 37710
% 57.97/58.37 Inuse: 687
% 57.97/58.37 Deleted: 402
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 185595
% 57.97/58.37 Kept: 39720
% 57.97/58.37 Inuse: 706
% 57.97/58.37 Deleted: 402
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 202771
% 57.97/58.37 Kept: 41870
% 57.97/58.37 Inuse: 722
% 57.97/58.37 Deleted: 402
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying clauses:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 215162
% 57.97/58.37 Kept: 43886
% 57.97/58.37 Inuse: 756
% 57.97/58.37 Deleted: 669
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 227666
% 57.97/58.37 Kept: 45904
% 57.97/58.37 Inuse: 795
% 57.97/58.37 Deleted: 669
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 246955
% 57.97/58.37 Kept: 48778
% 57.97/58.37 Inuse: 837
% 57.97/58.37 Deleted: 669
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 261877
% 57.97/58.37 Kept: 50919
% 57.97/58.37 Inuse: 857
% 57.97/58.37 Deleted: 669
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 286449
% 57.97/58.37 Kept: 54124
% 57.97/58.37 Inuse: 882
% 57.97/58.37 Deleted: 669
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 294911
% 57.97/58.37 Kept: 56136
% 57.97/58.37 Inuse: 907
% 57.97/58.37 Deleted: 669
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 305699
% 57.97/58.37 Kept: 58141
% 57.97/58.37 Inuse: 937
% 57.97/58.37 Deleted: 669
% 57.97/58.37 Deletedinuse: 0
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 316525
% 57.97/58.37 Kept: 60204
% 57.97/58.37 Inuse: 965
% 57.97/58.37 Deleted: 678
% 57.97/58.37 Deletedinuse: 7
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying clauses:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 328475
% 57.97/58.37 Kept: 62217
% 57.97/58.37 Inuse: 1002
% 57.97/58.37 Deleted: 1452
% 57.97/58.37 Deletedinuse: 7
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 342202
% 57.97/58.37 Kept: 64234
% 57.97/58.37 Inuse: 1040
% 57.97/58.37 Deleted: 1455
% 57.97/58.37 Deletedinuse: 7
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 354163
% 57.97/58.37 Kept: 66300
% 57.97/58.37 Inuse: 1072
% 57.97/58.37 Deleted: 1455
% 57.97/58.37 Deletedinuse: 7
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 386274
% 57.97/58.37 Kept: 70328
% 57.97/58.37 Inuse: 1111
% 57.97/58.37 Deleted: 1459
% 57.97/58.37 Deletedinuse: 10
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 409608
% 57.97/58.37 Kept: 73385
% 57.97/58.37 Inuse: 1146
% 57.97/58.37 Deleted: 1462
% 57.97/58.37 Deletedinuse: 13
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 425816
% 57.97/58.37 Kept: 75799
% 57.97/58.37 Inuse: 1156
% 57.97/58.37 Deleted: 1462
% 57.97/58.37 Deletedinuse: 13
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 438975
% 57.97/58.37 Kept: 77938
% 57.97/58.37 Inuse: 1186
% 57.97/58.37 Deleted: 1462
% 57.97/58.37 Deletedinuse: 13
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37 Resimplifying inuse:
% 57.97/58.37 Done
% 57.97/58.37
% 57.97/58.37
% 57.97/58.37 Intermediate Status:
% 57.97/58.37 Generated: 451128
% 57.97/58.37 Kept: 80014
% 57.97/58.37 Inuse: 1211
% 57.97/58.37 Deleted: 1462
% 57.97/58.37 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 460923
% 116.22/116.59 Kept: 82048
% 116.22/116.59 Inuse: 1236
% 116.22/116.59 Deleted: 1462
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying clauses:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 475985
% 116.22/116.59 Kept: 85705
% 116.22/116.59 Inuse: 1256
% 116.22/116.59 Deleted: 2431
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 486780
% 116.22/116.59 Kept: 87725
% 116.22/116.59 Inuse: 1287
% 116.22/116.59 Deleted: 2431
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 515793
% 116.22/116.59 Kept: 90935
% 116.22/116.59 Inuse: 1301
% 116.22/116.59 Deleted: 2431
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 525710
% 116.22/116.59 Kept: 93029
% 116.22/116.59 Inuse: 1326
% 116.22/116.59 Deleted: 2431
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 544387
% 116.22/116.59 Kept: 95051
% 116.22/116.59 Inuse: 1342
% 116.22/116.59 Deleted: 2431
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 554727
% 116.22/116.59 Kept: 97051
% 116.22/116.59 Inuse: 1370
% 116.22/116.59 Deleted: 2431
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 561686
% 116.22/116.59 Kept: 99053
% 116.22/116.59 Inuse: 1385
% 116.22/116.59 Deleted: 2431
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 570109
% 116.22/116.59 Kept: 101214
% 116.22/116.59 Inuse: 1401
% 116.22/116.59 Deleted: 2431
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying clauses:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 581792
% 116.22/116.59 Kept: 103232
% 116.22/116.59 Inuse: 1425
% 116.22/116.59 Deleted: 3141
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 593567
% 116.22/116.59 Kept: 105313
% 116.22/116.59 Inuse: 1451
% 116.22/116.59 Deleted: 3141
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 608928
% 116.22/116.59 Kept: 107815
% 116.22/116.59 Inuse: 1456
% 116.22/116.59 Deleted: 3141
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 616911
% 116.22/116.59 Kept: 109820
% 116.22/116.59 Inuse: 1481
% 116.22/116.59 Deleted: 3141
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 630125
% 116.22/116.59 Kept: 111836
% 116.22/116.59 Inuse: 1509
% 116.22/116.59 Deleted: 3141
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 642416
% 116.22/116.59 Kept: 113970
% 116.22/116.59 Inuse: 1536
% 116.22/116.59 Deleted: 3141
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 658408
% 116.22/116.59 Kept: 116184
% 116.22/116.59 Inuse: 1551
% 116.22/116.59 Deleted: 3141
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 671858
% 116.22/116.59 Kept: 118184
% 116.22/116.59 Inuse: 1578
% 116.22/116.59 Deleted: 3141
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 685810
% 116.22/116.59 Kept: 120229
% 116.22/116.59 Inuse: 1608
% 116.22/116.59 Deleted: 3141
% 116.22/116.59 Deletedinuse: 13
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 699078
% 116.22/116.59 Kept: 122365
% 116.22/116.59 Inuse: 1641
% 116.22/116.59 Deleted: 3146
% 116.22/116.59 Deletedinuse: 18
% 116.22/116.59
% 116.22/116.59 Resimplifying clauses:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 710704
% 116.22/116.59 Kept: 124396
% 116.22/116.59 Inuse: 1662
% 116.22/116.59 Deleted: 6291
% 116.22/116.59 Deletedinuse: 29
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 728832
% 116.22/116.59 Kept: 129247
% 116.22/116.59 Inuse: 1683
% 116.22/116.59 Deleted: 6294
% 116.22/116.59 Deletedinuse: 29
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 752351
% 116.22/116.59 Kept: 132590
% 116.22/116.59 Inuse: 1723
% 116.22/116.59 Deleted: 6294
% 116.22/116.59 Deletedinuse: 29
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 784083
% 116.22/116.59 Kept: 135811
% 116.22/116.59 Inuse: 1738
% 116.22/116.59 Deleted: 6294
% 116.22/116.59 Deletedinuse: 29
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59
% 116.22/116.59 Intermediate Status:
% 116.22/116.59 Generated: 817958
% 116.22/116.59 Kept: 139182
% 116.22/116.59 Inuse: 1748
% 116.22/116.59 Deleted: 6294
% 116.22/116.59 Deletedinuse: 29
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 116.22/116.59
% 116.22/116.59 Resimplifying inuse:
% 116.22/116.59 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 840919
% 210.37/210.82 Kept: 141289
% 210.37/210.82 Inuse: 1763
% 210.37/210.82 Deleted: 6294
% 210.37/210.82 Deletedinuse: 29
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying clauses:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 862959
% 210.37/210.82 Kept: 143356
% 210.37/210.82 Inuse: 1797
% 210.37/210.82 Deleted: 8440
% 210.37/210.82 Deletedinuse: 31
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 871307
% 210.37/210.82 Kept: 145421
% 210.37/210.82 Inuse: 1818
% 210.37/210.82 Deleted: 8441
% 210.37/210.82 Deletedinuse: 32
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 881917
% 210.37/210.82 Kept: 147614
% 210.37/210.82 Inuse: 1838
% 210.37/210.82 Deleted: 8441
% 210.37/210.82 Deletedinuse: 32
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 897855
% 210.37/210.82 Kept: 149659
% 210.37/210.82 Inuse: 1873
% 210.37/210.82 Deleted: 8441
% 210.37/210.82 Deletedinuse: 32
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 934463
% 210.37/210.82 Kept: 152385
% 210.37/210.82 Inuse: 1883
% 210.37/210.82 Deleted: 8441
% 210.37/210.82 Deletedinuse: 32
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 971504
% 210.37/210.82 Kept: 155249
% 210.37/210.82 Inuse: 1893
% 210.37/210.82 Deleted: 8441
% 210.37/210.82 Deletedinuse: 32
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 986638
% 210.37/210.82 Kept: 157293
% 210.37/210.82 Inuse: 1918
% 210.37/210.82 Deleted: 8442
% 210.37/210.82 Deletedinuse: 33
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1025713
% 210.37/210.82 Kept: 161078
% 210.37/210.82 Inuse: 1933
% 210.37/210.82 Deleted: 8442
% 210.37/210.82 Deletedinuse: 33
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1038175
% 210.37/210.82 Kept: 163409
% 210.37/210.82 Inuse: 1953
% 210.37/210.82 Deleted: 8443
% 210.37/210.82 Deletedinuse: 34
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying clauses:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1062596
% 210.37/210.82 Kept: 166461
% 210.37/210.82 Inuse: 1968
% 210.37/210.82 Deleted: 9096
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1079533
% 210.37/210.82 Kept: 168499
% 210.37/210.82 Inuse: 1976
% 210.37/210.82 Deleted: 9096
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1088445
% 210.37/210.82 Kept: 170570
% 210.37/210.82 Inuse: 1993
% 210.37/210.82 Deleted: 9096
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1100521
% 210.37/210.82 Kept: 172802
% 210.37/210.82 Inuse: 2013
% 210.37/210.82 Deleted: 9096
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1113819
% 210.37/210.82 Kept: 175310
% 210.37/210.82 Inuse: 2028
% 210.37/210.82 Deleted: 9096
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1126192
% 210.37/210.82 Kept: 177398
% 210.37/210.82 Inuse: 2053
% 210.37/210.82 Deleted: 9096
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1143013
% 210.37/210.82 Kept: 179444
% 210.37/210.82 Inuse: 2080
% 210.37/210.82 Deleted: 9096
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1165611
% 210.37/210.82 Kept: 181731
% 210.37/210.82 Inuse: 2098
% 210.37/210.82 Deleted: 9096
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying clauses:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1182171
% 210.37/210.82 Kept: 183757
% 210.37/210.82 Inuse: 2105
% 210.37/210.82 Deleted: 9843
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1197568
% 210.37/210.82 Kept: 185843
% 210.37/210.82 Inuse: 2113
% 210.37/210.82 Deleted: 9843
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1209558
% 210.37/210.82 Kept: 187847
% 210.37/210.82 Inuse: 2130
% 210.37/210.82 Deleted: 9843
% 210.37/210.82 Deletedinuse: 35
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1220866
% 210.37/210.82 Kept: 189858
% 210.37/210.82 Inuse: 2151
% 210.37/210.82 Deleted: 9846
% 210.37/210.82 Deletedinuse: 38
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1235518
% 210.37/210.82 Kept: 192220
% 210.37/210.82 Inuse: 2168
% 210.37/210.82 Deleted: 9846
% 210.37/210.82 Deletedinuse: 38
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 Intermediate Status:
% 210.37/210.82 Generated: 1250028
% 210.37/210.82 Kept: 194498
% 210.37/210.82 Inuse: 2188
% 210.37/210.82 Deleted: 9846
% 210.37/210.82 Deletedinuse: 38
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82 Resimplifying inuse:
% 210.37/210.82 Done
% 210.37/210.82
% 210.37/210.82
% 210.37/210.82 InteCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------