TSTP Solution File: SWV598-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV598-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 16:27:01 EDT 2022
% Result : Unsatisfiable 3.17s 3.55s
% Output : Refutation 3.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV598-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 01:59:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.04/1.43 *** allocated 10000 integers for termspace/termends
% 1.04/1.43 *** allocated 10000 integers for clauses
% 1.04/1.43 *** allocated 10000 integers for justifications
% 1.04/1.43 *** allocated 15000 integers for termspace/termends
% 1.04/1.43 *** allocated 22500 integers for termspace/termends
% 1.04/1.43 *** allocated 33750 integers for termspace/termends
% 1.04/1.43 Bliksem 1.12
% 1.04/1.43
% 1.04/1.43
% 1.04/1.43 Automatic Strategy Selection
% 1.04/1.43
% 1.04/1.43 Clauses:
% 1.04/1.43 [
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.43 ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.04/1.43 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.43 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.04/1.43 X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.43 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.43 , Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.43 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.43 ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.04/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.04/1.43 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.43 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.43 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.04/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.04/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.04/1.43 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.04/1.43 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.04/1.43 , Z ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.43 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.04/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.04/1.43 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.43 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.43 ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.04/1.43 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.04/1.43 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.04/1.43 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.04/1.43 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.04/1.43 [ =( 'c_Log_Olog'( X, 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.04/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Log_Olog'( X,
% 1.04/1.43 Y ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.43 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.04/1.43 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.04/1.43 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.04/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.04/1.43 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.43 , X ) ) ],
% 1.04/1.43 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.04/1.43 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ],
% 1.04/1.43 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 1.04/1.43 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.04/1.43 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.04/1.43 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.04/1.43 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.04/1.43 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.04/1.43 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.43 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.04/1.43 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.04/1.43 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.43 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.43 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.43 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.04/1.43 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.04/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.43 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.04/1.43 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.04/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.04/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.04/1.43 X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.04/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.04/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.04/1.43 Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.04/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.04/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.04/1.43 Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.04/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.04/1.43 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.04/1.43 X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.04/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.04/1.43 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.04/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.04/1.43 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 X ), T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 T, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.04/1.43 Y, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 T, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.43 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.04/1.43 Y, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.43 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.43 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.43 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.04/1.43 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Osgn__div__norm'( X ) ), =(
% 1.04/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_Onorm__class_Onorm'( Y, X
% 1.04/1.43 ), 'tc_RealDef_Oreal' ), Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.04/1.43 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.43 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.04/1.43 ],
% 1.04/1.43 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.04/1.43 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.43 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.43 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ =( 'c_Log_Olog'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Log_Olog'( X, Y )
% 1.04/1.43 , 'c_Log_Olog'( X, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.43 ), Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.43 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ =( 'c_Log_Opowr'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.04/1.43 'tc_RealDef_Oreal' ), Z ), 'c_HOL_Oinverse__class_Odivide'( 'c_Log_Opowr'(
% 1.04/1.43 X, Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.43 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.04/1.43 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 1.04/1.43 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.04/1.43 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.04/1.43 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.43 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.04/1.43 X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.43 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.43 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.04/1.43 X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.04/1.43 ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.04/1.43 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.04/1.43 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.04/1.43 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.04/1.43 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.43 'tc_RealDef_Oreal' ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.04/1.43 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.04/1.43 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.04/1.43 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.04/1.43 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.04/1.43 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.04/1.43 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.04/1.43 ), =( Z, Y ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.04/1.43 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.04/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.43 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.04/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.04/1.43 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.43 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.43 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.43 , X ) ) ), =( Y, Z ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.04/1.43 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.43 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.04/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.43 ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.43 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.43 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 1.04/1.43 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.04/1.43 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.43 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.43 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.04/1.43 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.43 'c_Transcendental_Oexp'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 1.04/1.43 'c_RealVector_Oof__real'( 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal'
% 1.04/1.43 ), X ) ) ],
% 1.04/1.43 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.04/1.43 ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.43 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.43 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Log_Opowr'( 'c_Transcendental_Oln'( X ), Y ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( Y, Y ), X,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.04/1.43 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.04/1.43 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.43 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.43 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.43 ), X ) ],
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.04/1.43 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.43 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.04/1.43 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 Z, Y, X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.04/1.43 , X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.04/1.43 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.04/1.43 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.04/1.43 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.04/1.43 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.04/1.43 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.04/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.43 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.43 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.04/1.43 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.04/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.04/1.43 ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.04/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.04/1.43 [ 'c_lessequals'( 'c_Transcendental_Oln'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.43 , 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.43 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.04/1.43 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.04/1.43 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.43 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.04/1.43 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.43 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.04/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.04/1.43 ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.04/1.43 ,
% 1.04/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.04/1.43 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.43 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.43 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.04/1.43 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'( 'c_Log_Opowr'(
% 1.04/1.43 X, Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.43 [ ~( 'c_Ring__and__Field_Ozero__neq__one'( X, X, Y ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.04/1.43 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.43 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.04/1.43 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.43 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.04/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.43 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.04/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_Transcendental_Oln'( X ), X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oln'( Y ), Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_Transcendental_Oexp'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.04/1.44 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.04/1.44 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.04/1.44 , T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.04/1.44 , T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.04/1.44 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.44 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.04/1.44 Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.44 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.44 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.04/1.44 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.04/1.44 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.04/1.44 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Oexp'(
% 1.04/1.44 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.04/1.44 T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.04/1.44 X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.04/1.44 T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.04/1.44 T, X ), X ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.04/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.04/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.04/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.04/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 Y, X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.04/1.44 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.04/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.04/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.04/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.04/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 Y, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.04/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.04/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.04/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.04/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.04/1.44 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.04/1.44 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.04/1.44 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.04/1.44 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.04/1.44 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.04/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.04/1.44 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.04/1.44 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 Y, T, X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.04/1.44 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 Y, T, X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.04/1.44 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.04/1.44 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.04/1.44 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.04/1.44 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.04/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( X
% 1.04/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.44 , X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.44 , X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.04/1.44 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ =( 'c_Log_Olog'( X, 'c_Log_Opowr'( Y, Z ) ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Log_Olog'( X, Y ), 'tc_RealDef_Oreal'
% 1.04/1.44 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.44 , Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.04/1.44 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.04/1.44 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.04/1.44 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 1.04/1.44 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.44 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.04/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.04/1.44 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.04/1.44 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.04/1.44 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.04/1.44 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.04/1.44 , X ), W, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.04/1.44 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.04/1.44 , X ), T, X ), W, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.04/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.44 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.04/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'(
% 1.04/1.44 'c_Log_Opowr'( X, Z ), Y ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.04/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.04/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.04/1.44 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.04/1.44 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.04/1.44 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.44 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.04/1.44 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 1.04/1.44 =( Y, Z ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.04/1.44 , X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.04/1.44 , X ), Z, X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.04/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.04/1.44 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.44 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 1.04/1.44 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Oln'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.04/1.44 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.04/1.44 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.04/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.04/1.44 ],
% 1.04/1.44 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.04/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.44 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.44 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.04/1.44 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.04/1.44 ), X ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.04/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.04/1.44 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.04/1.44 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.04/1.44 ), Y ) ],
% 1.04/1.44 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.04/1.44 ), X ), Y ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.44 , 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.04/1.44 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.04/1.44 , Y, X ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.04/1.44 , Y, X ) ) ],
% 1.04/1.44 [ =( 'c_Log_Olog'( X, Y ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_Transcendental_Oln'( Y ), 'c_Transcendental_Oln'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.04/1.44 , T, X ), X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_Complex_Ocomplex' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.04/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 1.04/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 1.04/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( Z, T, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( T, Y, X ),
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.44 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.44 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 T, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.04/1.44 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.04/1.44 'c_lessequals'( Z, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.44 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.04/1.44 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 T, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.04/1.44 , T, X ), X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.04/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.04/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.04/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, Z
% 1.04/1.44 , 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 1.04/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.04/1.44 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.04/1.44 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.04/1.44 X ) ) ), =( Z, T ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.04/1.44 X ) ) ), =( Z, T ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.04/1.44 X ) ) ), =( Y, T ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.04/1.44 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.04/1.44 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.04/1.44 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.04/1.44 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.04/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.04/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), X ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), X ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), X ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.04/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.04/1.44 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.04/1.44 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.04/1.44 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.04/1.44 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 1.04/1.44 , U, X ), X ), X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 1.04/1.44 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ =( 'c_Log_Olog'( X, 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'( 'c_Log_Olog'( X, Y
% 1.04/1.44 ), 'c_Log_Olog'( X, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.44 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.04/1.44 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.04/1.44 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.04/1.44 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.04/1.44 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.04/1.44 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.04/1.44 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.04/1.44 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.04/1.44 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.04/1.44 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.04/1.44 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.04/1.44 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.04/1.44 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.04/1.44 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.04/1.44 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.04/1.44 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.04/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.04/1.44 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ), Z,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.04/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.04/1.44 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.04/1.44 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.44 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.04/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.04/1.44 , T, X ) ) ), =( Z, T ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.04/1.44 , T, X ) ) ), =( Y, Z ) ],
% 1.04/1.44 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'( X ), X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( 'c_NthRoot_Osqrt'(
% 1.04/1.44 X ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.04/1.44 , T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.04/1.44 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.04/1.44 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.04/1.44 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.04/1.44 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.44 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 Y, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.04/1.44 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.04/1.44 [ 'c_lessequals'(
% 1.04/1.44 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1'( X ),
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.04/1.44 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.04/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.04/1.44 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.04/1.44 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.04/1.44 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.04/1.44 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.04/1.44 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.04/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.04/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.04/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 X ), X ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Oabs__class_Oabs'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.04/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.04/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.04/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.04/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.04/1.44 , U, X ), X ) ) ],
% 1.04/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.04/1.44 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.04/1.44 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.04/1.44 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.04/1.44 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.04/1.44 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.04/1.44 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.04/1.44 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.44 , X ), X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.04/1.44 , X ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.04/1.44 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.04/1.44 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.04/1.44 , 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 1.04/1.44 ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 1.04/1.44 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 1.04/1.44 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 X ) ) ],
% 1.04/1.44 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.04/1.44 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.04/1.44 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.04/1.44 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.04/1.44 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.04/1.44 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.04/1.44 , Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'(
% 1.04/1.44 Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.04/1.44 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.04/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.04/1.44 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.44 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.04/1.44 , Z, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.44 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.04/1.44 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.04/1.44 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.04/1.44 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.04/1.44 [ =( 'c_Log_Opowr'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), Z ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X
% 1.04/1.44 , Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'(
% 1.04/1.44 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'(
% 1.04/1.44 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.04/1.44 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 1.04/1.44 'c_RealVector_Oof__real'( 'c_HOL_Osgn__class_Osgn'( Y, 'tc_RealDef_Oreal'
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 1.04/1.44 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y
% 1.04/1.44 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ =( 'c_Log_Opowr'( X, Y ), 'c_Transcendental_Oexp'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Transcendental_Oln'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.04/1.44 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.04/1.44 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.04/1.44 , X ), W, X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.04/1.44 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.04/1.44 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.44 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.04/1.44 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.04/1.44 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.04/1.44 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 1.04/1.44 , 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 1.04/1.44 , 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 1.04/1.44 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.04/1.44 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 1.04/1.44 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 1.04/1.44 , ~( 'c_lessequals'( Y, W, X ) ) ],
% 1.04/1.44 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.04/1.44 ) ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.04/1.44 X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.04/1.44 X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.04/1.44 X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ =( 'c_Log_Opowr'( X, 'c_Log_Olog'( X, Y ) ), Y ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), Y, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.04/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.04/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.04/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.04/1.44 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 1.04/1.44 X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.04/1.44 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.04/1.44 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.04/1.44 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.04/1.44 , T, X ), X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.04/1.44 'c_RealVector_Oof__real'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.44 , X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.44 , X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.44 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.04/1.44 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.04/1.44 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.04/1.44 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.44 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.04/1.44 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.04/1.44 , 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.04/1.44 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.04/1.44 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 Y, T, X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.04/1.44 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.44 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 X ), T, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.44 ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.04/1.44 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 Z, Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.04/1.44 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.04/1.44 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.04/1.44 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.04/1.44 ), Y ) ],
% 1.04/1.44 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.04/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Log_Opowr'( X, Y ),
% 1.04/1.44 'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X,
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.04/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.04/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.04/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.04/1.44 , Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.44 ), Y ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.44 ) ) ],
% 1.04/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.44 ), Y ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.04/1.44 ), Y ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.04/1.44 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.04/1.44 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.04/1.44 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.04/1.44 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.04/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.44 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.44 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.44 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.04/1.44 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.04/1.44 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.04/1.44 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.04/1.44 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.04/1.44 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.04/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.04/1.44 , Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.04/1.44 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 , Z, X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.04/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.04/1.44 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 , Z, X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.04/1.44 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.04/1.44 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.04/1.44 ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.04/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 , T, X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.04/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 , T, X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.04/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.44 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.04/1.44 Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.44 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.44 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.04/1.44 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.04/1.44 W, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.04/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.04/1.44 , X ), T, X ), W, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.04/1.44 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.04/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.04/1.44 W, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.04/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.04/1.44 , X ), W, X ), X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.04/1.44 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.04/1.44 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 1.04/1.44 Z, X ) ) ],
% 1.04/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.04/1.44 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.44 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.04/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.44 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.04/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.04/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 1.04/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.44 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.04/1.44 , X ) ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Oln'( 'c_Log_Opowr'( X, Y ) ),
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Transcendental_Oln'( X ),
% 1.04/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.04/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.04/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.04/1.44 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ =( 'c_Log_Opowr'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.04/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X, Y
% 1.04/1.44 ), 'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ =( 'c_Transcendental_Oln'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.44 , 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Oln'(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 1.04/1.44 ), 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.04/1.44 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.04/1.44 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.04/1.44 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 1.04/1.44 X ), Z, X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.44 ,
% 1.04/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.44 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.44 ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.04/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.44 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.04/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.44 ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.04/1.44 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.04/1.44 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.44 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'( X,
% 1.04/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.04/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.04/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.04/1.44 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.04/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.04/1.44 [ 'c_lessequals'( 'c_Log_Olog'( X, Y ), 'c_Log_Olog'( X, Z ),
% 1.04/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.04/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.45 ],
% 1.04/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.45 'c_Log_Olog'( Z, X ), 'c_Log_Olog'( Z, Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.04/1.45 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.04/1.45 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.04/1.45 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.45 X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.45 , Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.04/1.45 , X ) ) ],
% 1.04/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.45 , Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.45 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.45 [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ), 'c_Complex_Oii' ) ), =( Y
% 1.04/1.45 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.04/1.45 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.04/1.45 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.04/1.45 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.04/1.45 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.04/1.45 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.04/1.45 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 1.04/1.45 X ), Z, X ) ) ],
% 1.04/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.45 ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.04/1.45 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.04/1.45 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.45 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.45 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 , X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.04/1.45 'c_lessequals'( Y, Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.04/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.04/1.45 'c_lessequals'( Y, Z, X ) ],
% 1.04/1.45 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.04/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.04/1.45 'c_lessequals'( Z, Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_Transcendental_Oln'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.45 , X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.04/1.45 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.04/1.45 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.45 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.04/1.45 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.04/1.45 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.45 ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.45 ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.04/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.04/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.04/1.45 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.04/1.45 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.04/1.45 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.04/1.45 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.04/1.45 'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.04/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.04/1.45 X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.04/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.04/1.45 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.45 , X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 , X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ =( 'c_Log_Olog'( X, Y ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oln'( Z ),
% 1.04/1.45 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), 'c_Log_Olog'( Z, Y ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.45 ), =( Z, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), Z, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.04/1.45 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.04/1.45 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.45 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.04/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.04/1.45 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ =( 'c_Complex_Ocis'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.04/1.45 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.45 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.04/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.45 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.45 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.45 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.04/1.45 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.45 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.45 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ), =( Y, Z ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ), =( Y, Z ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.45 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.04/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.04/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.45 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.45 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.04/1.45 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 1.04/1.45 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.04/1.45 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.45 ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.04/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.04/1.45 ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.04/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.04/1.45 ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.04/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.04/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.04/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.04/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.45 ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.04/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.45 ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.04/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.45 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.45 X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.04/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.04/1.45 ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.04/1.45 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 1.04/1.45 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.04/1.45 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.04/1.45 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.45 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( =( 'c_Log_Opowr'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ) ],
% 1.04/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.04/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ) ],
% 1.04/1.45 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.04/1.45 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.04/1.45 X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.45 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.04/1.45 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.04/1.45 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X
% 1.04/1.45 ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Osgn__class_Osgn'(
% 1.04/1.45 Y, 'tc_RealDef_Oreal' ), 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.45 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.04/1.45 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.04/1.45 Z, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.45 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ), ~(
% 1.04/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.04/1.45 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ) ),
% 1.04/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.45 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.04/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.04/1.45 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 1.04/1.45 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.04/1.45 X ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1',
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.04/1.45 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.04/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.04/1.45 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.04/1.45 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.04/1.45 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.04/1.45 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.04/1.45 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.04/1.45 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Oln'( X ), 'c_Log_Olog'( 'c_Transcendental_Oexp'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.45 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.04/1.45 X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 Z, T, X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 Z, T, X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.45 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.04/1.45 X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.04/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 Y, T, X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 Y, T, X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.04/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.04/1.45 , X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.45 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.04/1.45 , X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.45 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.04/1.45 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.45 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.04/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.04/1.45 ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.04/1.45 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.04/1.45 ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.04/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 1.04/1.45 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Log_Opowr'( X, Y ), Y,
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.45 ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 1.04/1.45 , 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.04/1.45 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.04/1.45 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.04/1.45 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.45 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.04/1.45 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.04/1.45 , X ), X ), Y ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.45 ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.45 , Y, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.04/1.45 , T, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.04/1.45 , T, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.45 , Y, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.04/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.04/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.04/1.45 , X ), X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.04/1.45 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.04/1.45 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.04/1.45 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.04/1.45 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 1.04/1.45 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.04/1.45 ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.04/1.45 , X ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.04/1.45 , X ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Oarctan'( X ),
% 1.04/1.45 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Transcendental_Oarctan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.45 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y,
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.04/1.45 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.04/1.45 ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.04/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.45 Y, X ), X ) ],
% 1.04/1.45 [ =( 'c_Log_Olog'( X, 'c_Log_Opowr'( X, Y ) ), Y ), =( X,
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.04/1.45 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.04/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.04/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.04/1.45 'c_lessequals'( Z, Y, X ) ],
% 1.04/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.04/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.04/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 1.04/1.45 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 1.04/1.45 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 1.04/1.45 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.04/1.45 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1'( X ),
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Log_Olog'( X, X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 1.04/1.45 ) ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.04/1.45 ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ =( 'c_Complex_Oii', 'c_Complex_Ocomplex_OComplex'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.04/1.45 [ ~( =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.04/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Oln'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_Log_Olog'( Z, X ), 'c_Log_Olog'( Z, Y ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.04/1.45 , Z, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Olog'( X, Y ), 'c_Log_Olog'( X, Z )
% 1.04/1.45 , 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.04/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.04/1.45 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.45 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.04/1.45 'c_Complex_Oii' ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.04/1.45 ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 1.04/1.45 , 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.04/1.45 ],
% 1.04/1.45 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.04/1.45 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 'c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1'( X ), X,
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.04/1.45 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 1.04/1.45 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.04/1.45 ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 1.04/1.45 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.04/1.45 , 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.04/1.45 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 1.04/1.45 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.04/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.04/1.45 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ),
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.04/1.45 [ =( 'c_Log_Opowr'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X )
% 1.04/1.45 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.04/1.45 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.45 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 1.04/1.45 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.04/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.04/1.45 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.04/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'(
% 1.04/1.45 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.04/1.45 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.04/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.04/1.45 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X )
% 1.04/1.45 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Osin'( X )
% 1.04/1.45 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.04/1.45 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.04/1.45 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.04/1.45 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.04/1.45 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.45 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Complex_Ocis'( X ), 'c_Complex_Ocomplex_OComplex'(
% 1.04/1.45 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'( X ) ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.04/1.45 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.04/1.45 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.04/1.45 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 1.04/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.04/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocomplex_OComplex'(
% 1.04/1.45 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'( X ) ),
% 1.04/1.45 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.04/1.45 ],
% 1.04/1.45 [ =( 'c_Transcendental_Otan'( 'v_x' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.04/1.45 'c_Transcendental_Osin'( 'v_x' ), 'c_Transcendental_Ocos'( 'v_x' ),
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.04/1.45 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.04/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.04/1.45 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.04/1.45 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ),
% 1.04/1.45 'c_Ring__and__Field_Ozero__neq__one'( 'c_HOL_Oone__class_Oone'( X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.04/1.45 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.04/1.45 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.04/1.45 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.04/1.45 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.04/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.04/1.45 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.04/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.04/1.45 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.04/1.45 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.04/1.45 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.04/1.45 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.04/1.45 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.04/1.45 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.04/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.04/1.45 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.04/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.04/1.45 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ =( 'c_Log_Olog'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Ocos'(
% 1.04/1.45 'c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1' ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.04/1.45 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.04/1.45 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.04/1.45 ],
% 1.04/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ) ],
% 1.04/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.04/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'v_x', 'c_HOL_Otimes__class_Otimes'(
% 1.04/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.04/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.04/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ ~( =( 'c_Transcendental_Osin'( 'v_x' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'v_x',
% 1.04/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.04/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.04/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ ~( =( 'c_Transcendental_Ocos'( 'v_x' ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x', 'c_Transcendental_Opi' ) ) ],
% 1.04/1.45 [ ~( =( 'c_Transcendental_Osin'( 'v_x' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'v_x',
% 1.04/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.04/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.04/1.45 ), 'v_x', 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Osin'( 'v_x' ), 'c_HOL_Ozero__class_Ozero'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ =( 'c_Transcendental_Ocos'( 'v_x' ), 'c_HOL_Oone__class_Oone'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.04/1.45 ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.04/1.45 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.04/1.45 ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.04/1.45 ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.04/1.45 ],
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__div__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Osgn__div__norm'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.04/1.45 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.04/1.45 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.04/1.45 ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.04/1.45 ],
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.04/1.45 ],
% 1.04/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.04/1.45 ],
% 1.04/1.45 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.04/1.45 ],
% 1.04/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ,
% 1.04/1.45 [ 'class_RealVector_Oreal__div__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_RealVector_Osgn__div__norm'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_RealVector_Odist__norm'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.04/1.45 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ]
% 1.04/1.45 ] .
% 1.04/1.45
% 1.04/1.45
% 1.04/1.45 percentage equality = 0.237148, percentage horn = 0.872861
% 1.04/1.45 This is a problem with some equality
% 1.04/1.45
% 1.04/1.45
% 1.04/1.45
% 1.04/1.45 Options Used:
% 1.04/1.45
% 1.04/1.45 useres = 1
% 1.04/1.45 useparamod = 1
% 1.04/1.45 useeqrefl = 1
% 1.04/1.45 useeqfact = 1
% 1.04/1.45 usefactor = 1
% 1.04/1.45 usesimpsplitting = 0
% 1.04/1.45 usesimpdemod = 5
% 1.04/1.45 usesimpres = 3
% 1.04/1.45
% 1.04/1.45 resimpinuse = 1000
% 1.04/1.45 resimpclauses = 20000
% 1.04/1.45 substype = eqrewr
% 1.04/1.45 backwardsubs = 1
% 1.04/1.45 selectoldest = 5
% 1.04/1.45
% 1.04/1.45 litorderings [0] = split
% 1.04/1.45 litorderings [1] = extend the termordering, first sorting on arguments
% 1.04/1.45
% 1.04/1.45 termordering = kbo
% 1.04/1.45
% 1.04/1.45 litapriori = 0
% 1.04/1.45 termapriori = 1
% 1.04/1.45 litaposteriori = 0
% 1.04/1.45 termaposteriori = 0
% 1.04/1.45 demodaposteriori = 0
% 1.04/1.45 ordereqreflfact = 0
% 1.04/1.45
% 1.04/1.45 litselect = negord
% 1.04/1.45
% 1.04/1.45 maxweight = 15
% 1.04/1.45 maxdepth = 30000
% 1.04/1.45 maxlength = 115
% 1.04/1.45 maxnrvars = 195
% 1.04/1.45 excuselevel = 1
% 1.04/1.45 increasemaxweight = 1
% 1.04/1.45
% 1.04/1.45 maxselected = 10000000
% 1.04/1.45 maxnrclauses = 10000000
% 1.04/1.45
% 1.04/1.45 showgenerated = 0
% 1.04/1.45 showkept = 0
% 1.04/1.45 showselected = 0
% 1.04/1.45 showdeleted = 0
% 1.04/1.45 showresimp = 1
% 1.04/1.45 showstatus = 2000
% 1.04/1.45
% 1.04/1.45 prologoutput = 1
% 1.04/1.45 nrgoals = 5000000
% 1.04/1.45 totalproof = 1
% 1.04/1.45
% 1.04/1.45 Symbols occurring in the translation:
% 1.04/1.45
% 1.04/1.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.04/1.45 . [1, 2] (w:1, o:159, a:1, s:1, b:0),
% 1.04/1.45 ! [4, 1] (w:0, o:65, a:1, s:1, b:0),
% 1.04/1.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.45 'class_OrderedGroup_Olordered__ab__group__add' [40, 1] (w:1, o:70, a:
% 1.04/1.45 1, s:1, b:0),
% 1.04/1.45 'c_HOL_Ouminus__class_Ouminus' [43, 2] (w:1, o:184, a:1, s:1, b:0),
% 1.04/1.45 'c_lessequals' [44, 3] (w:1, o:199, a:1, s:1, b:0),
% 1.04/1.45 'c_HOL_Oplus__class_Oplus' [45, 3] (w:1, o:201, a:1, s:1, b:0),
% 1.04/1.45 'c_HOL_Ozero__class_Ozero' [46, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.04/1.45 'tc_RealDef_Oreal' [49, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.04/1.45 'class_Ring__and__Field_Oring' [50, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.04/1.45 'c_HOL_Otimes__class_Otimes' [51, 3] (w:1, o:202, a:1, s:1, b:0),
% 1.04/1.45 'class_RealVector_Oreal__normed__vector' [52, 1] (w:1, o:73, a:1, s:1
% 1.04/1.45 , b:0),
% 1.04/1.45 'c_HOL_Osgn__class_Osgn' [53, 2] (w:1, o:185, a:1, s:1, b:0),
% 1.04/1.45 'class_RealVector_Ometric__space' [54, 1] (w:1, o:74, a:1, s:1, b:0)
% 1.04/1.45 ,
% 1.04/1.45 'c_RealVector_Odist__class_Odist' [55, 3] (w:1, o:203, a:1, s:1, b:0)
% 1.04/1.45 ,
% 1.04/1.45 'c_HOL_Oord__class_Oless' [56, 3] (w:1, o:200, a:1, s:1, b:0),
% 1.04/1.45 'class_Ring__and__Field_Ofield' [57, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.04/1.45 'class_Ring__and__Field_Odivision__by__zero' [58, 1] (w:1, o:78, a:1
% 1.04/1.45 , s:1, b:0),
% 1.04/1.45 'c_HOL_Oinverse__class_Odivide' [59, 3] (w:1, o:204, a:1, s:1, b:0),
% 1.04/1.45
% 1.04/1.45 'class_Ring__and__Field_Opordered__ring__abs' [62, 1] (w:1, o:87, a:1
% 1.04/1.45 , s:1, b:0),
% 1.04/1.45 'c_HOL_Oabs__class_Oabs' [63, 2] (w:1, o:186, a:1, s:1, b:0),
% 1.04/1.45 'class_Ring__and__Field_Oordered__idom' [64, 1] (w:1, o:80, a:1, s:1
% 1.04/1.45 , b:0),
% 1.04/1.45 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [65, 1]
% 1.04/1.45 (w:1, o:89, a:1, s:1, b:0),
% 1.04/1.45 'class_Ring__and__Field_Oordered__semidom' [67, 1] (w:1, o:82, a:1
% 1.04/1.45 , s:1, b:0),
% 1.04/1.45 'c_HOL_Oone__class_Oone' [68, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.04/1.45 'class_OrderedGroup_Oab__semigroup__idem__mult' [69, 1] (w:1, o:91
% 1.04/1.45 , a:1, s:1, b:0),
% 1.04/1.45 'class_OrderedGroup_Opordered__ab__group__add' [70, 1] (w:1, o:92, a:
% 1.04/1.45 1, s:1, b:0),
% 1.04/1.45 'c_HOL_Ominus__class_Ominus' [71, 3] (w:1, o:205, a:1, s:1, b:0),
% 1.04/1.45 'class_Lattices_Olattice' [72, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.04/1.45 'c_Lattices_Olower__semilattice__class_Oinf' [73, 3] (w:1, o:206, a:1
% 1.04/1.45 , s:1, b:0),
% 1.04/1.45 'class_Lattices_Olower__semilattice' [74, 1] (w:1, o:94, a:1, s:1, b:
% 1.04/1.45 0),
% 1.04/1.45 'class_Divides_Osemiring__div' [75, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.07/1.68 'c_Divides_Odiv__class_Odiv' [76, 3] (w:1, o:207, a:1, s:1, b:0),
% 1.07/1.68 'c_Divides_Odiv__class_Omod' [77, 3] (w:1, o:208, a:1, s:1, b:0),
% 1.07/1.68 'class_Ring__and__Field_Oordered__ring__strict' [78, 1] (w:1, o:81
% 1.07/1.68 , a:1, s:1, b:0),
% 1.07/1.68 'class_Ring__and__Field_Oordered__semiring__strict' [79, 1] (w:1, o:
% 1.07/1.68 83, a:1, s:1, b:0),
% 1.07/1.68 'class_OrderedGroup_Opordered__ab__group__add__abs' [81, 1] (w:1, o:
% 1.07/1.68 97, a:1, s:1, b:0),
% 1.07/1.68 'class_OrderedGroup_Ogroup__add' [82, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.07/1.68
% 1.07/1.68 'class_Lattices_Odistrib__lattice' [83, 1] (w:1, o:99, a:1, s:1, b:0)
% 1.07/1.68 ,
% 1.07/1.68 'c_Lattices_Oupper__semilattice__class_Osup' [84, 3] (w:1, o:209, a:1
% 1.07/1.68 , s:1, b:0),
% 1.07/1.68 'c_NthRoot_Osqrt' [85, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.07/1.68 'class_RealVector_Oreal__div__algebra' [86, 1] (w:1, o:101, a:1, s:1
% 1.07/1.68 , b:0),
% 1.07/1.68 'c_HOL_Oinverse__class_Oinverse' [87, 2] (w:1, o:187, a:1, s:1, b:0)
% 1.07/1.68 ,
% 1.07/1.68 'c_RealVector_Oof__real' [88, 2] (w:1, o:189, a:1, s:1, b:0),
% 1.07/1.68 'c_Log_Olog' [89, 2] (w:1, o:190, a:1, s:1, b:0),
% 1.07/1.68 'c_Transcendental_Oexp' [90, 2] (w:1, o:191, a:1, s:1, b:0),
% 1.07/1.68 'class_RealVector_Oreal__normed__field' [91, 1] (w:1, o:102, a:1, s:1
% 1.07/1.68 , b:0),
% 1.07/1.68 'class_Ring__and__Field_Oordered__field' [93, 1] (w:1, o:84, a:1, s:1
% 1.07/1.68 , b:0),
% 1.07/1.68 'c_Complex_Ocomplex_OComplex' [96, 2] (w:1, o:192, a:1, s:1, b:0),
% 1.07/1.68 'class_Ring__and__Field_Omult__mono1' [99, 1] (w:1, o:104, a:1, s:1
% 1.07/1.68 , b:0),
% 1.07/1.68 'class_Ring__and__Field_Omult__mono' [100, 1] (w:1, o:105, a:1, s:1
% 1.07/1.68 , b:0),
% 1.07/1.68 'class_Ring__and__Field_Opordered__ring' [101, 1] (w:1, o:106, a:1
% 1.07/1.68 , s:1, b:0),
% 1.07/1.68 'class_Orderings_Olinorder' [102, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.07/1.68 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [103, 2] (w:1
% 1.07/1.68 , o:193, a:1, s:1, b:0),
% 1.07/1.68 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [104, 2] (w:1
% 1.07/1.68 , o:194, a:1, s:1, b:0),
% 1.07/1.68 'class_Ring__and__Field_Oidom' [105, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.07/1.68
% 1.07/1.68 'class_Int_Onumber__ring' [106, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.07/1.68 'class_Ring__and__Field_Odivision__ring' [108, 1] (w:1, o:110, a:1
% 1.07/1.68 , s:1, b:0),
% 1.07/1.68 'class_Lattices_Oupper__semilattice' [109, 1] (w:1, o:111, a:1, s:1
% 1.07/1.68 , b:0),
% 1.07/1.68 'tc_Complex_Ocomplex' [110, 0] (w:1, o:37, a:1, s:1, b:0),
% 1.07/1.68 'class_RealVector_Osgn__div__norm' [111, 1] (w:1, o:119, a:1, s:1, b:
% 1.07/1.68 0),
% 1.07/1.68 'c_RealVector_Onorm__class_Onorm' [112, 2] (w:1, o:188, a:1, s:1, b:0
% 1.07/1.68 ),
% 1.07/1.68 'c_RealVector_OscaleR__class_OscaleR' [113, 3] (w:1, o:210, a:1, s:1
% 1.07/1.68 , b:0),
% 1.07/1.68 'class_RealVector_Oreal__algebra__1' [114, 1] (w:1, o:112, a:1, s:1
% 1.07/1.68 , b:0),
% 1.07/1.68 'c_Transcendental_Otan' [115, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.07/1.68 'c_Transcendental_Ocos' [116, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.07/1.68 'c_Log_Opowr' [119, 2] (w:1, o:195, a:1, s:1, b:0),
% 1.07/1.68 'class_Orderings_Oorder' [120, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.07/1.68 'class_OrderedGroup_Opordered__ab__semigroup__add' [121, 1] (w:1, o:
% 1.07/1.68 125, a:1, s:1, b:0),
% 1.07/1.68 'class_RealVector_Oreal__vector' [122, 1] (w:1, o:113, a:1, s:1, b:0)
% 1.07/1.68 ,
% 1.07/1.68 'class_Lattices_Oboolean__algebra' [126, 1] (w:1, o:126, a:1, s:1, b:
% 1.07/1.68 0),
% 1.07/1.68 'c_Transcendental_Opi' [127, 0] (w:1, o:38, a:1, s:1, b:0),
% 1.07/1.68 'class_OrderedGroup_Olordered__ab__group__add__abs' [128, 1] (w:1, o:
% 1.07/1.68 127, a:1, s:1, b:0),
% 1.07/1.68 'class_SEQ_Obanach' [129, 1] (w:1, o:137, a:1, s:1, b:0),
% 1.07/1.68 'c_Transcendental_Oln' [130, 1] (w:1, o:138, a:1, s:1, b:0),
% 1.07/1.68 'class_Ring__and__Field_Ocomm__semiring__1' [132, 1] (w:1, o:76, a:1
% 1.07/1.68 , s:1, b:0),
% 1.07/1.68 'class_OrderedGroup_Opordered__comm__monoid__add' [137, 1] (w:1, o:
% 1.07/1.68 139, a:1, s:1, b:0),
% 1.07/1.68 'c_Ring__and__Field_Ozero__neq__one' [138, 3] (w:1, o:211, a:1, s:1
% 1.07/1.68 , b:0),
% 1.07/1.68 'class_Ring__and__Field_Oabs__if' [140, 1] (w:1, o:128, a:1, s:1, b:0
% 1.07/1.68 ),
% 1.07/1.68 'class_Ring__and__Field_Oordered__semiring' [141, 1] (w:1, o:85, a:1
% 1.07/1.68 , s:1, b:0),
% 1.07/1.68 'class_Ring__and__Field_Opordered__cancel__semiring' [142, 1] (w:1
% 1.07/1.68 , o:129, a:1, s:1, b:0),
% 1.07/1.68 'class_RealVector_Oreal__normed__algebra' [143, 1] (w:1, o:114, a:1
% 3.17/3.55 , s:1, b:0),
% 3.17/3.55 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1' [144, 1
% 3.17/3.55 ] (w:1, o:120, a:1, s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Oab__semigroup__mult' [145, 1] (w:1, o:140, a:1
% 3.17/3.55 , s:1, b:0),
% 3.17/3.55 'class_Ring__and__Field_Ocomm__semiring' [149, 1] (w:1, o:77, a:1, s:
% 3.17/3.55 1, b:0),
% 3.17/3.55 'class_Ring__and__Field_Opordered__semiring' [151, 1] (w:1, o:130, a:
% 3.17/3.55 1, s:1, b:0),
% 3.17/3.55 'class_Divides_Oring__div' [152, 1] (w:1, o:95, a:1, s:1, b:0),
% 3.17/3.55 'c_Complex_Oii' [153, 0] (w:1, o:52, a:1, s:1, b:0),
% 3.17/3.55 'c_Transcendental_Osin' [156, 1] (w:1, o:121, a:1, s:1, b:0),
% 3.17/3.55 'c_Transcendental_Oarctan' [157, 1] (w:1, o:141, a:1, s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Ocomm__monoid__add' [159, 1] (w:1, o:142, a:1, s:
% 3.17/3.55 1, b:0),
% 3.17/3.55 'class_Ring__and__Field_Olordered__ring' [160, 1] (w:1, o:103, a:1
% 3.17/3.55 , s:1, b:0),
% 3.17/3.55 'class_RealVector_Oreal__normed__div__algebra' [161, 1] (w:1, o:115
% 3.17/3.55 , a:1, s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Olordered__ab__group__add__join' [162, 1] (w:1
% 3.17/3.55 , o:143, a:1, s:1, b:0),
% 3.17/3.55 'class_Orderings_Opreorder' [163, 1] (w:1, o:144, a:1, s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Oab__group__add' [164, 1] (w:1, o:145, a:1, s:1
% 3.17/3.55 , b:0),
% 3.17/3.55 'class_OrderedGroup_Oab__semigroup__add' [165, 1] (w:1, o:146, a:1
% 3.17/3.55 , s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Ocancel__ab__semigroup__add' [168, 1] (w:1, o:147
% 3.17/3.55 , a:1, s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Ocancel__semigroup__add' [169, 1] (w:1, o:148, a:
% 3.17/3.55 1, s:1, b:0),
% 3.17/3.55 hAPP [172, 2] (w:1, o:196, a:1, s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Olordered__ab__group__add__meet' [173, 1] (w:1
% 3.17/3.55 , o:149, a:1, s:1, b:0),
% 3.17/3.55 'class_RealVector_Oreal__algebra' [174, 1] (w:1, o:116, a:1, s:1, b:0
% 3.17/3.55 ),
% 3.17/3.55 'class_Ring__and__Field_Osemiring' [176, 1] (w:1, o:132, a:1, s:1, b:
% 3.17/3.55 0),
% 3.17/3.55 'class_RealVector_Oreal__field' [177, 1] (w:1, o:117, a:1, s:1, b:0)
% 3.17/3.55 ,
% 3.17/3.55 'class_Ring__and__Field_Osgn__if' [182, 1] (w:1, o:133, a:1, s:1, b:0
% 3.17/3.55 ),
% 3.17/3.55 'c_Complex_Oarg' [183, 1] (w:1, o:150, a:1, s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Oordered__ab__group__add' [184, 1] (w:1, o:88, a:
% 3.17/3.55 1, s:1, b:0),
% 3.17/3.55 'class_RealVector_Oreal__normed__algebra__1' [185, 1] (w:1, o:118, a:
% 3.17/3.55 1, s:1, b:0),
% 3.17/3.55 'class_Ring__and__Field_Oordered__comm__semiring__strict' [188, 1]
% 3.17/3.55 (w:1, o:86, a:1, s:1, b:0),
% 3.17/3.55 'c_Fun_Oid' [189, 2] (w:1, o:197, a:1, s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [191, 1]
% 3.17/3.55 (w:1, o:151, a:1, s:1, b:0),
% 3.17/3.55 'class_Ring__and__Field_Oring__no__zero__divisors' [192, 1] (w:1, o:
% 3.17/3.55 131, a:1, s:1, b:0),
% 3.17/3.55 'class_Ring__and__Field_Omult__zero' [193, 1] (w:1, o:134, a:1, s:1
% 3.17/3.55 , b:0),
% 3.17/3.55 'c_Complex_Ocis' [194, 1] (w:1, o:152, a:1, s:1, b:0),
% 3.17/3.55 'class_Ring__and__Field_Ono__zero__divisors' [195, 1] (w:1, o:79, a:1
% 3.17/3.55 , s:1, b:0),
% 3.17/3.55 'class_OrderedGroup_Omonoid__add' [196, 1] (w:1, o:153, a:1, s:1, b:0
% 3.17/3.55 ),
% 3.17/3.55 'class_OrderedGroup_Omonoid__mult' [197, 1] (w:1, o:154, a:1, s:1, b:
% 3.17/3.55 0),
% 3.17/3.55 'class_OrderedGroup_Ocomm__monoid__mult' [198, 1] (w:1, o:155, a:1
% 3.17/3.55 , s:1, b:0),
% 3.17/3.55 'c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1' [200, 0
% 3.17/3.55 ] (w:1, o:60, a:1, s:1, b:0),
% 3.17/3.55 'class_RealVector_Odist__norm' [203, 1] (w:1, o:135, a:1, s:1, b:0),
% 3.17/3.55
% 3.17/3.55 'c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1' [204, 1
% 3.17/3.55 ] (w:1, o:156, a:1, s:1, b:0),
% 3.17/3.55 't_a' [205, 0] (w:1, o:62, a:1, s:1, b:0),
% 3.17/3.55 'v_x' [206, 0] (w:1, o:63, a:1, s:1, b:0),
% 3.17/3.55 'class_Ring__and__Field_Ozero__neq__one' [207, 1] (w:1, o:136, a:1
% 3.17/3.55 , s:1, b:0),
% 3.17/3.55 'c_Int_OPls' [208, 0] (w:1, o:64, a:1, s:1, b:0),
% 3.17/3.55 'c_Int_OBit1' [209, 1] (w:1, o:158, a:1, s:1, b:0),
% 3.17/3.55 'c_Int_OBit0' [210, 1] (w:1, o:157, a:1, s:1, b:0),
% 3.17/3.55 'c_Int_Onumber__class_Onumber__of' [211, 2] (w:1, o:198, a:1, s:1, b:
% 3.17/3.55 0).
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Starting Search:
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Intermediate Status:
% 3.17/3.55 Generated: 3059
% 3.17/3.55 Kept: 2004
% 3.17/3.55 Inuse: 151
% 3.17/3.55 Deleted: 1
% 3.17/3.55 Deletedinuse: 0
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Intermediate Status:
% 3.17/3.55 Generated: 10359
% 3.17/3.55 Kept: 4429
% 3.17/3.55 Inuse: 245
% 3.17/3.55 Deleted: 1
% 3.17/3.55 Deletedinuse: 0
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Intermediate Status:
% 3.17/3.55 Generated: 20157
% 3.17/3.55 Kept: 6813
% 3.17/3.55 Inuse: 265
% 3.17/3.55 Deleted: 1
% 3.17/3.55 Deletedinuse: 0
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Intermediate Status:
% 3.17/3.55 Generated: 31249
% 3.17/3.55 Kept: 8975
% 3.17/3.55 Inuse: 310
% 3.17/3.55 Deleted: 1
% 3.17/3.55 Deletedinuse: 0
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Intermediate Status:
% 3.17/3.55 Generated: 39021
% 3.17/3.55 Kept: 11040
% 3.17/3.55 Inuse: 330
% 3.17/3.55 Deleted: 1
% 3.17/3.55 Deletedinuse: 0
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Intermediate Status:
% 3.17/3.55 Generated: 46567
% 3.17/3.55 Kept: 13057
% 3.17/3.55 Inuse: 385
% 3.17/3.55 Deleted: 3
% 3.17/3.55 Deletedinuse: 0
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Intermediate Status:
% 3.17/3.55 Generated: 53446
% 3.17/3.55 Kept: 15123
% 3.17/3.55 Inuse: 413
% 3.17/3.55 Deleted: 3
% 3.17/3.55 Deletedinuse: 0
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Intermediate Status:
% 3.17/3.55 Generated: 66396
% 3.17/3.55 Kept: 17125
% 3.17/3.55 Inuse: 458
% 3.17/3.55 Deleted: 4
% 3.17/3.55 Deletedinuse: 0
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Intermediate Status:
% 3.17/3.55 Generated: 79742
% 3.17/3.55 Kept: 19328
% 3.17/3.55 Inuse: 492
% 3.17/3.55 Deleted: 4
% 3.17/3.55 Deletedinuse: 0
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55 Resimplifying inuse:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55 Resimplifying clauses:
% 3.17/3.55 Done
% 3.17/3.55
% 3.17/3.55
% 3.17/3.55 Bliksems!, er is een bewijs:
% 3.17/3.55 % SZS status Unsatisfiable
% 3.17/3.55 % SZS output start Refutation
% 3.17/3.55
% 3.17/3.55 clause( 100, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X
% 3.17/3.55 , Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 989, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 3.17/3.55 Y, X, 'tc_RealDef_Oreal' ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 1070, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.55 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 1078, [ 'c_HOL_Oord__class_Oless'( 'v_x',
% 3.17/3.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 3.17/3.55 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 3.17/3.55 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 1079, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.17/3.55 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.17/3.55 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 3.17/3.55 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 1080, [ ~( =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.17/3.55 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x',
% 3.17/3.55 'c_Transcendental_Opi' ) ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 1081, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.17/3.55 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.17/3.55 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 3.17/3.55 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 1082, [ =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.17/3.55 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 1083, [ =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.17/3.55 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 21142, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x',
% 3.17/3.55 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 21143, [ ~( =( 'v_x', 'c_Transcendental_Opi' ) ) ] )
% 3.17/3.55 .
% 3.17/3.55 clause( 21144, [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 3.17/3.56 'v_x', 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 .
% 3.17/3.56 clause( 21170, [ ~( =( X, 'c_Transcendental_Opi' ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'v_x', X, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( 'v_x', X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 .
% 3.17/3.56 clause( 21171, [ ~( =( X, 'c_Transcendental_Opi' ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( X, 'v_x', 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( X, 'v_x', 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 .
% 3.17/3.56 clause( 21193, [ ~( 'c_lessequals'( 'c_Transcendental_Opi', 'v_x',
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 .
% 3.17/3.56 clause( 21194, [ ~( 'c_lessequals'( 'v_x', 'c_Transcendental_Opi',
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 .
% 3.17/3.56 clause( 21198, [] )
% 3.17/3.56 .
% 3.17/3.56
% 3.17/3.56
% 3.17/3.56 % SZS output end Refutation
% 3.17/3.56 found a proof!
% 3.17/3.56
% 3.17/3.56 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 3.17/3.56
% 3.17/3.56 initialclauses(
% 3.17/3.56 [ clause( 21200, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21201, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21202, [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21203, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21204, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 3.17/3.56 X ), X ) ) ] )
% 3.17/3.56 , clause( 21205, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 3.17/3.56 , Z, X ) ) ] )
% 3.17/3.56 , clause( 21206, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21207, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21208, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 3.17/3.56 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 3.17/3.56 , clause( 21209, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 3.17/3.56 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 3.17/3.56 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21210, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 3.17/3.56 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 3.17/3.56 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21211, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 3.17/3.56 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 3.17/3.56 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21212, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 3.17/3.56 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 3.17/3.56 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21213, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21214, [ ~(
% 3.17/3.56 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21215, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 3.17/3.56 , clause( 21216, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 3.17/3.56 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.56 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21217, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21218, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21219, [ =( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X,
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21220, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) )
% 3.17/3.56 , =( X, 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21221, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 3.17/3.56 , clause( 21222, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 3.17/3.56 , clause( 21223, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 3.17/3.56 Y, X ) ] )
% 3.17/3.56 , clause( 21224, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 3.17/3.56 Z, X ) ] )
% 3.17/3.56 , clause( 21225, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 3.17/3.56 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21226, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 3.17/3.56 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21227, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 3.17/3.56 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21228, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 X ) ) ] )
% 3.17/3.56 , clause( 21229, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21230, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 3.17/3.56 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21231, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 3.17/3.56 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21232, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 =( Y, Z ) ] )
% 3.17/3.56 , clause( 21233, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21234, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21235, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21236, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21237, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21238, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21239, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21240, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal'
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21241, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 3.17/3.56 ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21242, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 3.17/3.56 , clause( 21243, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21244, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21245, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21246, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X )
% 3.17/3.56 , 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21247, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21248, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 3.17/3.56 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.56 'c_RealVector_Oof__real'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21249, [ =( 'c_Log_Olog'( X, 'c_HOL_Oinverse__class_Oinverse'( Y
% 3.17/3.56 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Log_Olog'( X
% 3.17/3.56 , Y ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21250, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.17/3.56 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21251, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) )
% 3.17/3.56 , =( X, Y ) ] )
% 3.17/3.56 , clause( 21252, [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ] )
% 3.17/3.56 , clause( 21253, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 3.17/3.56 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 3.17/3.56 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21254, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 3.17/3.56 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21255, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 3.17/3.56 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( Y, T ) ] )
% 3.17/3.56 , clause( 21256, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 3.17/3.56 'c_Complex_Ocomplex_OComplex'( Z, T ) ) ), =( X, Z ) ] )
% 3.17/3.56 , clause( 21257, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 3.17/3.56 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21258, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21259, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21260, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21261, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21262, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21263, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 3.17/3.56 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 3.17/3.56 , clause( 21264, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( Y, 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21265, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.56 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21266, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21267, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21268, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 3.17/3.56 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21269, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 3.17/3.56 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21270, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 3.17/3.56 ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ] )
% 3.17/3.56 , clause( 21271, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 3.17/3.56 X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21272, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 3.17/3.56 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 3.17/3.56 Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21273, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 3.17/3.56 Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21274, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 3.17/3.56 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 3.17/3.56 X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21275, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 3.17/3.56 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21276, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 3.17/3.56 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21277, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21278, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21279, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 3.17/3.56 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21280, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 3.17/3.56 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21281, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21282, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21283, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21284, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ), =( X,
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21285, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21286, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21287, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21288, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21289, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21290, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21291, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 3.17/3.56 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 3.17/3.56 , clause( 21292, [ ~( 'class_RealVector_Osgn__div__norm'( X ) ), =(
% 3.17/3.56 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_Onorm__class_Onorm'( Y, X
% 3.17/3.56 ), 'tc_RealDef_Oreal' ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21293, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21294, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 3.17/3.56 , clause( 21295, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 3.17/3.56 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21296, [ =( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Otan'( X ),
% 3.17/3.56 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.56 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.56 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.56 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21297, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 3.17/3.56 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 3.17/3.56 , clause( 21298, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 3.17/3.56 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21299, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 3.17/3.56 ~( 'c_lessequals'( U, T, X ) ) ] )
% 3.17/3.56 , clause( 21300, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 3.17/3.56 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21301, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21302, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21303, [ =( 'c_Log_Olog'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Log_Olog'( X, Y )
% 3.17/3.56 , 'c_Log_Olog'( X, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21304, [ =( 'c_Log_Opowr'( 'c_HOL_Oinverse__class_Odivide'( X, Y
% 3.17/3.56 , 'tc_RealDef_Oreal' ), Z ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_Log_Opowr'( X, Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21305, [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21306, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ] )
% 3.17/3.56 , clause( 21307, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ] )
% 3.17/3.56 , clause( 21308, [ ~( 'class_Orderings_Oorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21309, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21310, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21311, [ ~( 'class_Orderings_Oorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21312, [ ~( 'class_Orderings_Oorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 3.17/3.56 Y, Z ) ] )
% 3.17/3.56 , clause( 21313, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 3.17/3.56 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 3.17/3.56 , clause( 21314, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21315, [ ~(
% 3.17/3.56 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21316, [ ~(
% 3.17/3.56 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21317, [ ~(
% 3.17/3.56 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21318, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.17/3.56 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21319, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.17/3.56 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21320, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21321, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21322, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 3.17/3.56 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21323, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 3.17/3.56 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21324, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 3.17/3.56 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21325, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 3.17/3.56 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21326, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 3.17/3.56 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21327, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 3.17/3.56 , clause( 21328, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21329, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 3.17/3.56 , clause( 21330, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21331, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 3.17/3.56 ), =( Z, Y ) ] )
% 3.17/3.56 , clause( 21332, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21333, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21334, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 3.17/3.56 , clause( 21335, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 3.17/3.56 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21336, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 3.17/3.56 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21337, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 3.17/3.56 ), =( Z, Y ) ] )
% 3.17/3.56 , clause( 21338, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 3.17/3.56 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21339, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21340, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.17/3.56 , X ) ) ), =( Y, Z ) ] )
% 3.17/3.56 , clause( 21341, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.17/3.56 , X ) ) ), =( Y, Z ) ] )
% 3.17/3.56 , clause( 21342, [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.56 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 3.17/3.56 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.56 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21343, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21344, [ 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21345, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21346, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21347, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 3.17/3.56 , clause( 21348, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21349, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21350, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21351, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 3.17/3.56 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.56 'c_Transcendental_Oexp'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 3.17/3.56 'c_RealVector_Oof__real'( 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal'
% 3.17/3.56 ), X ) ) ] )
% 3.17/3.56 , clause( 21352, [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X
% 3.17/3.56 , 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.56 , 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21353, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 3.17/3.56 , clause( 21354, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21355, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 3.17/3.56 , clause( 21356, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21357, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21358, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21359, [ 'c_lessequals'( 'c_Log_Opowr'( 'c_Transcendental_Oln'( X
% 3.17/3.56 ), Y ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( Y, Y ), X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21360, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 3.17/3.56 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21361, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 3.17/3.56 , clause( 21362, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 3.17/3.56 , clause( 21363, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 3.17/3.56 , clause( 21364, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21365, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21366, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 3.17/3.56 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 3.17/3.56 , clause( 21367, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 3.17/3.56 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21368, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 3.17/3.56 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21369, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.56 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21370, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.56 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21371, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21372, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 3.17/3.56 , X ), X ) ) ] )
% 3.17/3.56 , clause( 21373, [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 3.17/3.56 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21374, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 3.17/3.56 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21375, [ =( 'c_Transcendental_Oln'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Oln'( X ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21376, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 3.17/3.56 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 3.17/3.56 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21377, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.56 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21378, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21379, [ 'c_lessequals'( 'c_Transcendental_Oln'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21380, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 3.17/3.56 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21381, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21382, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21383, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21384, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21385, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 3.17/3.56 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21386, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.17/3.56 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 3.17/3.56 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21387, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.17/3.56 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 3.17/3.56 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21388, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21389, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21390, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21391, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21392, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21393, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21394, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21395, [ =( 'c_Log_Opowr'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'( 'c_Log_Opowr'(
% 3.17/3.56 X, Y ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21396, [ ~( 'c_Ring__and__Field_Ozero__neq__one'( X, X, Y ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21397, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 3.17/3.56 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21398, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 3.17/3.56 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21399, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.56 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21400, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.56 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21401, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21402, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21403, [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_Transcendental_Oln'( X ), X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oln'( Y ), Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_Transcendental_Oexp'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21404, [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z
% 3.17/3.56 , Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal'
% 3.17/3.56 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21405, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 3.17/3.56 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21406, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21407, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 3.17/3.56 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21408, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21409, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 3.17/3.56 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21410, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 3.17/3.56 , T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21411, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.56 , Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21412, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 3.17/3.56 , T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21413, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.56 , Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21414, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21415, [ ~( 'class_Orderings_Oorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 3.17/3.56 Z, Y ) ] )
% 3.17/3.56 , clause( 21416, [ ~( 'class_Orderings_Oorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21417, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21418, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21419, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 3.17/3.56 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.56 Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21420, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21421, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21422, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21423, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 3.17/3.56 , clause( 21424, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21425, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21426, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21427, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21428, [ 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21429, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21430, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21431, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 3.17/3.56 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 3.17/3.56 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21432, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21433, [ =( 'c_Transcendental_Oexp'(
% 3.17/3.56 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1'( X ),
% 3.17/3.56 'tc_RealDef_Oreal' ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21434, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 3.17/3.56 T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21435, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.56 T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21436, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21437, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 3.17/3.56 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 3.17/3.56 , X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21438, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 3.17/3.56 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 3.17/3.56 , T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21439, [ =( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21440, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 3.17/3.56 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 3.17/3.56 , X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21441, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 3.17/3.56 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21442, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 3.17/3.56 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21443, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 3.17/3.56 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21444, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.17/3.56 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21445, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.17/3.56 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21446, [ =( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21447, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 3.17/3.56 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 3.17/3.56 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21448, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.17/3.56 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21449, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 3.17/3.56 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 3.17/3.56 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21450, [ =( 'c_Transcendental_Otan'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Otan'( X ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21451, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21452, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21453, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21454, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21455, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 3.17/3.56 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 3.17/3.56 ), X ) ) ] )
% 3.17/3.56 , clause( 21456, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.17/3.56 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21457, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.17/3.56 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 Y, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21458, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21459, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21460, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21461, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21462, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21463, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 3.17/3.56 , clause( 21464, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21465, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.56 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21466, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 3.17/3.56 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 3.17/3.56 X ), X ) ) ] )
% 3.17/3.56 , clause( 21467, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 3.17/3.56 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 3.17/3.56 X ), X ) ) ] )
% 3.17/3.56 , clause( 21468, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 3.17/3.56 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 3.17/3.56 X ), X ) ) ] )
% 3.17/3.56 , clause( 21469, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 3.17/3.56 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 3.17/3.56 X ), X ) ) ] )
% 3.17/3.56 , clause( 21470, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Y, Y, X ) ) ] )
% 3.17/3.56 , clause( 21471, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21472, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 3.17/3.56 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21473, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 3.17/3.56 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21474, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21475, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 3.17/3.56 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21476, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 3.17/3.56 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21477, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.56 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 3.17/3.56 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 3.17/3.56 , clause( 21478, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21479, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21480, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 3.17/3.56 , clause( 21481, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 3.17/3.56 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21482, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 3.17/3.56 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 3.17/3.56 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21483, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21484, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 3.17/3.56 , clause( 21485, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.56 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Y, T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21486, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.56 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Y, T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21487, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 3.17/3.56 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_RealVector_Oof__real'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21488, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 3.17/3.56 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21489, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21490, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 3.17/3.56 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21491, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21492, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 3.17/3.56 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21493, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21494, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 3.17/3.56 X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21495, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X
% 3.17/3.56 , Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21496, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21497, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 3.17/3.56 'c_Complex_Oii' ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21498, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.17/3.56 , X ), X ) ) ] )
% 3.17/3.56 , clause( 21499, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.17/3.56 , X ), X ) ) ] )
% 3.17/3.56 , clause( 21500, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21501, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21502, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21503, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21504, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ] )
% 3.17/3.56 , clause( 21505, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21506, [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.56 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21507, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21508, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.56 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21509, [ =( 'c_Log_Olog'( X, 'c_Log_Opowr'( Y, Z ) ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, 'c_Log_Olog'( X, Y ), 'tc_RealDef_Oreal'
% 3.17/3.56 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.56 , Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21510, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21511, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 3.17/3.56 X, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21512, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.56 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21513, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 3.17/3.56 , clause( 21514, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 3.17/3.56 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21515, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21516, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21517, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21518, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21519, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21520, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ), =( X, Y ) ] )
% 3.17/3.56 , clause( 21521, [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 3.17/3.56 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 3.17/3.56 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.56 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21522, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ] )
% 3.17/3.56 , clause( 21523, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( T, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( T, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21524, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21525, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21526, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 3.17/3.56 , clause( 21527, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21528, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 3.17/3.56 , clause( 21529, [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 3.17/3.56 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.56 X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21530, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21531, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 3.17/3.56 , clause( 21532, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 3.17/3.56 , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 3.17/3.56 ), X ) ) ] )
% 3.17/3.56 , clause( 21533, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 3.17/3.56 , clause( 21534, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 3.17/3.56 , clause( 21535, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.56 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 3.17/3.56 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21536, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.56 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 3.17/3.56 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21537, [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ),
% 3.17/3.56 'c_Log_Opowr'( 'c_Log_Opowr'( X, Z ), Y ) ) ] )
% 3.17/3.56 , clause( 21538, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21539, [ ~(
% 3.17/3.56 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 3.17/3.56 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 3.17/3.56 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21540, [ ~(
% 3.17/3.56 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 3.17/3.56 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 3.17/3.56 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21541, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21542, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21543, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 3.17/3.56 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21544, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 3.17/3.56 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21545, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 3.17/3.56 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21546, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 3.17/3.56 X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21547, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21548, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 3.17/3.56 X ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21549, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21550, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 3.17/3.56 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 3.17/3.56 =( Y, Z ) ] )
% 3.17/3.56 , clause( 21551, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21552, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 3.17/3.56 , X ), X ) ) ] )
% 3.17/3.56 , clause( 21553, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21554, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 3.17/3.56 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 3.17/3.56 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 3.17/3.56 , clause( 21555, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21556, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21557, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21558, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21559, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 3.17/3.56 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21560, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21561, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21562, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21563, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 3.17/3.56 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.56 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 3.17/3.56 'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21564, [ =( 'c_Transcendental_Oln'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21565, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21566, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 3.17/3.56 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21567, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21568, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21569, [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'(
% 3.17/3.56 X ) ), X ) ] )
% 3.17/3.56 , clause( 21570, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 3.17/3.56 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21571, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21572, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.17/3.56 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21573, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21574, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21575, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.56 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 3.17/3.56 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21576, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.56 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 3.17/3.56 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21577, [ =( 'c_Transcendental_Oarctan'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Oarctan'( X ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21578, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 3.17/3.56 , clause( 21579, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21580, [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X )
% 3.17/3.56 , 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21581, [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X
% 3.17/3.56 ), 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21582, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 3.17/3.56 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21583, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 3.17/3.56 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21584, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 3.17/3.56 ), Y ) ] )
% 3.17/3.56 , clause( 21585, [ =( X, 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ), Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21586, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 3.17/3.56 ), X ), Y ) ] )
% 3.17/3.56 , clause( 21587, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.56 , 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21588, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21589, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21590, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21591, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.56 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 3.17/3.56 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21592, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21593, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21594, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21595, [ =( 'c_Log_Olog'( X, Y ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_Transcendental_Oln'( Y ), 'c_Transcendental_Oln'( X ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21596, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.17/3.56 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 3.17/3.56 , T, X ), X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21597, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21598, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21599, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21600, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21601, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 3.17/3.56 , clause( 21602, [ ~( 'class_Orderings_Oorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 3.17/3.56 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 3.17/3.56 , clause( 21603, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 3.17/3.56 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21604, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ), =( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21605, [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21606, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.17/3.56 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21607, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 3.17/3.56 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21608, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 3.17/3.56 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21609, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.17/3.56 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21610, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 3.17/3.56 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21611, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 3.17/3.56 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21612, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 3.17/3.56 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21613, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 3.17/3.56 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21614, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 3.17/3.56 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21615, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21616, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21617, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.17/3.56 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21618, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21619, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21620, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.56 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 3.17/3.56 X ), X ) ) ] )
% 3.17/3.56 , clause( 21621, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21622, [ ~( =( 'c_Transcendental_Oln'( X ),
% 3.17/3.56 'c_Transcendental_Oln'( Y ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ] )
% 3.17/3.56 , clause( 21623, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21624, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21625, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21626, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21627, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21628, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21629, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Odist__class_Odist'( Y, T, X )
% 3.17/3.56 , 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21630, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Odist__class_Odist'( Y, T, X )
% 3.17/3.56 , 'c_RealVector_Odist__class_Odist'( Z, T, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21631, [ ~( 'class_RealVector_Ometric__space'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Odist__class_Odist'( T, Y, X )
% 3.17/3.56 , 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21632, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21633, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21634, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21635, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21636, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 3.17/3.56 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21637, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 3.17/3.56 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 3.17/3.56 , clause( 21638, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21639, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21640, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21641, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 3.17/3.56 , clause( 21642, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 3.17/3.56 , T, X ), X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21643, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21644, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21645, [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X
% 3.17/3.56 , Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, Z
% 3.17/3.56 , 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21646, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21647, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 3.17/3.56 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21648, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 3.17/3.56 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21649, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 3.17/3.56 ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 3.17/3.56 , clause( 21650, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21651, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21652, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.56 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 3.17/3.56 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 3.17/3.56 , clause( 21653, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 3.17/3.56 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 3.17/3.56 , clause( 21654, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 3.17/3.56 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, T, X ) ) ), =( Z, T ) ] )
% 3.17/3.56 , clause( 21655, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 3.17/3.56 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 T, Z, X ) ) ), =( Y, T ) ] )
% 3.17/3.56 , clause( 21656, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21657, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 3.17/3.56 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21658, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 3.17/3.56 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21659, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 3.17/3.56 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21660, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21661, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21662, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21663, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21664, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21665, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21666, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21667, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 3.17/3.56 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21668, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.56 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 3.17/3.56 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21669, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21670, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X )
% 3.17/3.56 , 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.56 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21671, [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), X ) ] )
% 3.17/3.56 , clause( 21672, [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), X ) ] )
% 3.17/3.56 , clause( 21673, [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), X ) ] )
% 3.17/3.56 , clause( 21674, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.56 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21675, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.56 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21676, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X )
% 3.17/3.56 , 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.56 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21677, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 3.17/3.56 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 3.17/3.56 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 3.17/3.56 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 3.17/3.56 , U, X ), X ), X ) ) ] )
% 3.17/3.56 , clause( 21678, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21679, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21680, [ =( 'c_Log_Olog'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 3.17/3.56 Z, 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'( 'c_Log_Olog'( X
% 3.17/3.56 , Y ), 'c_Log_Olog'( X, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21681, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 3.17/3.56 , =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.56 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21682, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 3.17/3.56 , clause( 21683, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 3.17/3.56 , clause( 21684, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 3.17/3.56 , clause( 21685, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 3.17/3.56 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21686, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 3.17/3.56 ), X ) ] )
% 3.17/3.56 , clause( 21687, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 3.17/3.56 ), X ) ] )
% 3.17/3.56 , clause( 21688, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 3.17/3.56 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21689, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 3.17/3.56 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21690, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 3.17/3.56 , clause( 21691, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21692, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 3.17/3.56 , clause( 21693, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21694, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21695, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21696, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21697, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.56 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21698, [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 3.17/3.56 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 3.17/3.56 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21699, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21700, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21701, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21702, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21703, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21704, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.56 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21705, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 3.17/3.56 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21706, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 3.17/3.56 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21707, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 3.17/3.56 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21708, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 3.17/3.56 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21709, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 3.17/3.56 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21710, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 3.17/3.56 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21711, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 3.17/3.56 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 3.17/3.56 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21712, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 3.17/3.56 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21713, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 3.17/3.56 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 X ) ) ] )
% 3.17/3.56 , clause( 21714, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 3.17/3.56 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21715, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21716, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 3.17/3.56 X ) ] )
% 3.17/3.56 , clause( 21717, [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), X,
% 3.17/3.56 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21718, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21719, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21720, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.56 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 3.17/3.56 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21721, [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21722, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'(
% 3.17/3.56 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21723, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 3.17/3.56 , clause( 21724, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 3.17/3.56 Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 3.17/3.56 , clause( 21725, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 3.17/3.56 , clause( 21726, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21727, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 3.17/3.56 , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 3.17/3.56 , clause( 21728, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 3.17/3.56 , clause( 21729, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 3.17/3.56 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21730, [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21731, [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21732, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.17/3.56 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21733, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 3.17/3.56 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21734, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 3.17/3.56 ), X ) ) ] )
% 3.17/3.56 , clause( 21735, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.17/3.56 ), X ) ) ] )
% 3.17/3.56 , clause( 21736, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 3.17/3.56 ), X ) ) ] )
% 3.17/3.56 , clause( 21737, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.17/3.56 ), X ) ) ] )
% 3.17/3.56 , clause( 21738, [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21739, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21740, [ ~(
% 3.17/3.56 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 3.17/3.56 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21741, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 3.17/3.56 , T, X ) ) ), =( Z, T ) ] )
% 3.17/3.56 , clause( 21742, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 3.17/3.56 , T, X ) ) ), =( Y, Z ) ] )
% 3.17/3.56 , clause( 21743, [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'( X
% 3.17/3.56 ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.56 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21744, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21745, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 3.17/3.56 , T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21746, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.56 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.56 , Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21747, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 3.17/3.56 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21748, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.56 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21749, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 3.17/3.56 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 3.17/3.56 ) ) ] )
% 3.17/3.56 , clause( 21750, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.56 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21751, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21752, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' )
% 3.17/3.56 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21753, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21754, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' )
% 3.17/3.56 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 3.17/3.56 ) ] )
% 3.17/3.56 , clause( 21755, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21756, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21757, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21758, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21759, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21760, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.56 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21761, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 3.17/3.56 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ] )
% 3.17/3.56 , clause( 21762, [ 'c_lessequals'(
% 3.17/3.56 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1'( X ),
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21763, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 3.17/3.56 , 'tc_RealDef_Oreal' ), T, X ) ) ] )
% 3.17/3.56 , clause( 21764, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 3.17/3.56 'c_lessequals'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21765, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 3.17/3.56 'c_lessequals'( Y, Z, X ) ] )
% 3.17/3.56 , clause( 21766, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 3.17/3.56 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.56 , clause( 21767, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 3.17/3.56 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21768, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 3.17/3.56 , X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21769, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21770, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21771, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 3.17/3.56 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21772, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 3.17/3.56 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 3.17/3.56 , clause( 21773, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 3.17/3.56 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21774, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 3.17/3.56 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21775, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.17/3.56 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21776, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 3.17/3.56 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21777, [ =( 'c_HOL_Oplus__class_Oplus'( X,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21778, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.56 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21779, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 X ), X ) ) ] )
% 3.17/3.56 , clause( 21780, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 X ), X ) ) ] )
% 3.17/3.56 , clause( 21781, [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Oabs__class_Oabs'( X,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21782, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 3.17/3.56 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 3.17/3.56 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21783, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 3.17/3.56 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 3.17/3.56 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21784, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 3.17/3.56 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21785, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 3.17/3.56 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21786, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 3.17/3.56 , U, X ), X ) ) ] )
% 3.17/3.56 , clause( 21787, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 3.17/3.56 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 3.17/3.56 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21788, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.56 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21789, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21790, [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.56 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.56 , 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21791, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21792, [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 3.17/3.56 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.56 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 3.17/3.56 , =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21793, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 3.17/3.56 , clause( 21794, [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ),
% 3.17/3.56 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21795, [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ),
% 3.17/3.56 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 Z, X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21796, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 3.17/3.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.56 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 3.17/3.56 , clause( 21797, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21798, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 3.17/3.56 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21799, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.56 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21800, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21801, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21802, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21803, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21804, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21805, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21806, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.56 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.56 , clause( 21807, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21808, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21809, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21810, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 3.17/3.56 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21811, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 3.17/3.56 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21812, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21813, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 3.17/3.56 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21814, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.17/3.56 , X ), X ), X ) ) ] )
% 3.17/3.56 , clause( 21815, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21816, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 3.17/3.56 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 3.17/3.56 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 3.17/3.56 , clause( 21817, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 3.17/3.56 , X ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.56 , clause( 21818, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 3.17/3.56 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 3.17/3.56 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21819, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.17/3.56 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 3.17/3.56 , clause( 21820, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.17/3.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 3.17/3.56 , 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 3.17/3.56 ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 3.17/3.56 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 3.17/3.56 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ] )
% 3.17/3.56 , clause( 21821, [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.56 , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21822, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 3.17/3.56 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 X ) ) ] )
% 3.17/3.56 , clause( 21823, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.56 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21824, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.56 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 3.17/3.56 )
% 3.17/3.56 , clause( 21825, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y )
% 3.17/3.56 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21826, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.56 , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 3.17/3.56 Y ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 3.17/3.56 , clause( 21827, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21828, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21829, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 3.17/3.56 , clause( 21830, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 3.17/3.56 , clause( 21831, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.56 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21832, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.56 ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 3.17/3.56 'c_RealVector_Oof__real'( Z, X ), X ) ) ] )
% 3.17/3.56 , clause( 21833, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 3.17/3.56 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y,
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21834, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.56 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21835, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 3.17/3.56 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 3.17/3.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 3.17/3.56 , clause( 21836, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 3.17/3.56 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.56 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 3.17/3.56 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 3.17/3.56 , clause( 21837, [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ),
% 3.17/3.56 'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21838, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 ~( 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y
% 3.17/3.56 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 3.17/3.56 ] )
% 3.17/3.56 , clause( 21839, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.56 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.56 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21840, [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ),
% 3.17/3.56 'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.56 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 3.17/3.56 , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21841, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 3.17/3.56 , ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 3.17/3.56 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.56 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.56 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.56 , clause( 21842, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 3.17/3.56 , X ) ) ] )
% 3.17/3.56 , clause( 21843, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 3.17/3.56 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.56 , clause( 21844, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 3.17/3.56 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 3.17/3.56 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 3.17/3.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21845, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 21846, [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X
% 3.17/3.57 , Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal'
% 3.17/3.57 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21847, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_lessequals'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 21848, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 21849, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21850, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.57 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 21851, [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.57 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 3.17/3.57 , clause( 21852, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 3.17/3.57 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 21853, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 3.17/3.57 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 21854, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 3.17/3.57 , clause( 21855, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 3.17/3.57 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 3.17/3.57 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 3.17/3.57 ) ) ] )
% 3.17/3.57 , clause( 21856, [ =( 'c_Log_Opowr'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), Z ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X
% 3.17/3.57 , Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 21857, [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'(
% 3.17/3.57 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 21858, [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'(
% 3.17/3.57 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 21859, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X
% 3.17/3.57 ), 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21860, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.57 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 21861, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 3.17/3.57 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21862, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21863, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21864, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.57 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 21865, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 3.17/3.57 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21866, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21867, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21868, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 3.17/3.57 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 3.17/3.57 , clause( 21869, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 3.17/3.57 'c_RealVector_Oof__real'( 'c_HOL_Osgn__class_Osgn'( Y, 'tc_RealDef_Oreal'
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 21870, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 3.17/3.57 =( 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X
% 3.17/3.57 ), 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21871, [ =( 'c_Log_Opowr'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21872, [ 'c_HOL_Oord__class_Oless'( X,
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 21873, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 3.17/3.57 , Y, 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21874, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y )
% 3.17/3.57 , 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21875, [ 'c_lessequals'( 'c_Transcendental_Oln'( X ),
% 3.17/3.57 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 3.17/3.57 Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21876, [ =( 'c_Log_Opowr'( X, Y ), 'c_Transcendental_Oexp'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_Transcendental_Oln'( X ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21877, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 3.17/3.57 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 3.17/3.57 , clause( 21878, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 3.17/3.57 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 3.17/3.57 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 3.17/3.57 , clause( 21879, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 3.17/3.57 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 3.17/3.57 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 3.17/3.57 , X ), W, X ) ) ] )
% 3.17/3.57 , clause( 21880, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 3.17/3.57 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ] )
% 3.17/3.57 , clause( 21881, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 3.17/3.57 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ] )
% 3.17/3.57 , clause( 21882, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 21883, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 3.17/3.57 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 3.17/3.57 , clause( 21884, [ =( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, X,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21885, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X
% 3.17/3.57 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.57 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21886, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21887, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 3.17/3.57 , clause( 21888, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 3.17/3.57 ), X ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 21889, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 3.17/3.57 , clause( 21890, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 3.17/3.57 , clause( 21891, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 3.17/3.57 , clause( 21892, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21893, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 3.17/3.57 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 3.17/3.57 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 3.17/3.57 , 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 3.17/3.57 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 3.17/3.57 , 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 3.17/3.57 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 3.17/3.57 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 3.17/3.57 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 3.17/3.57 , ~( 'c_lessequals'( Y, W, X ) ) ] )
% 3.17/3.57 , clause( 21894, [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ) ) ] )
% 3.17/3.57 , clause( 21895, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 3.17/3.57 Y, X ) ) ] )
% 3.17/3.57 , clause( 21896, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 3.17/3.57 Y, X ) ) ] )
% 3.17/3.57 , clause( 21897, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 21898, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 21899, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 21900, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 21901, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 21902, [ =( 'c_Log_Opowr'( X, 'c_Log_Olog'( X, Y ) ), Y ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), Y, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 21903, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 21904, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.57 'c_lessequals'( Z, Y, X ) ) ] )
% 3.17/3.57 , clause( 21905, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 21906, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.57 'c_lessequals'( Z, Y, X ) ) ] )
% 3.17/3.57 , clause( 21907, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21908, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 X, 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21909, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 3.17/3.57 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 21910, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 3.17/3.57 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 21911, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 3.17/3.57 , =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.57 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21912, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 3.17/3.57 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 3.17/3.57 , clause( 21913, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 3.17/3.57 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 3.17/3.57 , T, X ), X ), T, X ) ) ] )
% 3.17/3.57 , clause( 21914, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 3.17/3.57 'c_RealVector_Oof__real'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 3.17/3.57 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 21915, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 3.17/3.57 , clause( 21916, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 3.17/3.57 , clause( 21917, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , =( 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.17/3.57 , X ), X ) ) ] )
% 3.17/3.57 , clause( 21918, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.17/3.57 , X ), X ) ) ] )
% 3.17/3.57 , clause( 21919, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21920, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21921, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21922, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21923, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 21924, [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 21925, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.17/3.57 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 3.17/3.57 , clause( 21926, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.57 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 21927, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.57 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 21928, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 21929, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 21930, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 3.17/3.57 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.57 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 3.17/3.57 'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 21931, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 ~( 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 3.17/3.57 Y ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21932, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 3.17/3.57 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21933, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 3.17/3.57 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 Y, T, X ), Z, X ) ) ] )
% 3.17/3.57 , clause( 21934, [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ),
% 3.17/3.57 ~( 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 21935, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21936, [ ~(
% 3.17/3.57 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 3.17/3.57 , clause( 21937, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21938, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.17/3.57 , clause( 21939, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.57 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.57 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.57 , clause( 21940, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 3.17/3.57 , clause( 21941, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21942, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21943, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.57 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.57 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 3.17/3.57 , clause( 21944, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 3.17/3.57 , clause( 21945, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21946, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.57 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ), T, X ) ) ] )
% 3.17/3.57 , clause( 21947, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21948, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.57 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21949, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 21950, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 21951, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21952, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 3.17/3.57 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 Z, Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 21953, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 3.17/3.57 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 21954, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 21955, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ] )
% 3.17/3.57 , clause( 21956, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 3.17/3.57 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21957, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21958, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 21959, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 3.17/3.57 , clause( 21960, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 3.17/3.57 , clause( 21961, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 21962, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 21963, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 3.17/3.57 , clause( 21964, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21965, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 3.17/3.57 , clause( 21966, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 3.17/3.57 ), Y ) ] )
% 3.17/3.57 , clause( 21967, [ =( X, 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), Y,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21968, [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Log_Opowr'( X, Y
% 3.17/3.57 ), 'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X,
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ] )
% 3.17/3.57 , clause( 21969, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.17/3.57 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 3.17/3.57 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 3.17/3.57 , clause( 21970, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 3.17/3.57 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 3.17/3.57 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 3.17/3.57 , clause( 21971, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 3.17/3.57 , Y, X ) ) ] )
% 3.17/3.57 , clause( 21972, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21973, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.17/3.57 ), Y ) ] )
% 3.17/3.57 , clause( 21974, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.17/3.57 ) ) ] )
% 3.17/3.57 , clause( 21975, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.17/3.57 ) ) ] )
% 3.17/3.57 , clause( 21976, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.17/3.57 ), Y ) ] )
% 3.17/3.57 , clause( 21977, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 3.17/3.57 ), Y ) ] )
% 3.17/3.57 , clause( 21978, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 3.17/3.57 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 3.17/3.57 , clause( 21979, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.57 , clause( 21980, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 3.17/3.57 , clause( 21981, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 3.17/3.57 , Y, X ) ) ] )
% 3.17/3.57 , clause( 21982, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 3.17/3.57 , Y, X ) ) ] )
% 3.17/3.57 , clause( 21983, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 21984, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 21985, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21986, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 21987, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 3.17/3.57 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 21988, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 3.17/3.57 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 21989, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'(
% 3.17/3.57 X ), 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.57 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21990, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21991, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ] )
% 3.17/3.57 , clause( 21992, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21993, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 21994, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 3.17/3.57 , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 21995, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 21996, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 3.17/3.57 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 21997, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 21998, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 21999, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22000, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22001, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22002, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 3.17/3.57 ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22003, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 3.17/3.57 ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 3.17/3.57 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22004, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22005, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22006, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22007, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22008, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22009, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22010, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22011, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22012, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22013, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22014, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22015, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 3.17/3.57 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Oof__real'( Y, X ),
% 3.17/3.57 'c_RealVector_Oof__real'( Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 22016, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 3.17/3.57 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22017, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 3.17/3.57 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22018, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 3.17/3.57 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 3.17/3.57 , Y, X ) ) ] )
% 3.17/3.57 , clause( 22019, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.17/3.57 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 3.17/3.57 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , Z, X ) ] )
% 3.17/3.57 , clause( 22020, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.17/3.57 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 3.17/3.57 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 3.17/3.57 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , Z, X ) ] )
% 3.17/3.57 , clause( 22021, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 3.17/3.57 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 3.17/3.57 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 22022, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 3.17/3.57 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 22023, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.17/3.57 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.57 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , T, X ) ] )
% 3.17/3.57 , clause( 22024, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.17/3.57 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 3.17/3.57 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , T, X ) ] )
% 3.17/3.57 , clause( 22025, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 3.17/3.57 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 3.17/3.57 Z, X ) ) ] )
% 3.17/3.57 , clause( 22026, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22027, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22028, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 3.17/3.57 , clause( 22029, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 3.17/3.57 , clause( 22030, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 3.17/3.57 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 3.17/3.57 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 3.17/3.57 W, X ), X ) ) ] )
% 3.17/3.57 , clause( 22031, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 3.17/3.57 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 3.17/3.57 , X ), T, X ), W, X ) ) ] )
% 3.17/3.57 , clause( 22032, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 3.17/3.57 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 3.17/3.57 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 3.17/3.57 W, X ), X ) ) ] )
% 3.17/3.57 , clause( 22033, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 3.17/3.57 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 3.17/3.57 , X ), W, X ), X ) ) ] )
% 3.17/3.57 , clause( 22034, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 3.17/3.57 , X ) ) ] )
% 3.17/3.57 , clause( 22035, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 3.17/3.57 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 3.17/3.57 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 3.17/3.57 Z, X ) ) ] )
% 3.17/3.57 , clause( 22036, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22037, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 3.17/3.57 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 3.17/3.57 , clause( 22038, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 3.17/3.57 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 3.17/3.57 , clause( 22039, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 3.17/3.57 , clause( 22040, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.57 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.57 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 3.17/3.57 =( Y, T ) ] )
% 3.17/3.57 , clause( 22041, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.57 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.57 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 3.17/3.57 =( Y, T ) ] )
% 3.17/3.57 , clause( 22042, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X
% 3.17/3.57 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 3.17/3.57 , 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22043, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 3.17/3.57 , X ) ) ] )
% 3.17/3.57 , clause( 22044, [ =( 'c_Transcendental_Oln'( 'c_Log_Opowr'( X, Y ) ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_Transcendental_Oln'( X ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22045, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 3.17/3.57 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.57 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22046, [ =( 'c_Log_Opowr'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X, Y
% 3.17/3.57 ), 'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22047, [ =( 'c_Transcendental_Oln'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 3.17/3.57 , 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Oln'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22048, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 3.17/3.57 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 3.17/3.57 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 3.17/3.57 X ), Z, X ) ) ] )
% 3.17/3.57 , clause( 22049, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22050, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22051, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22052, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.57 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22053, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 3.17/3.57 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22054, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 3.17/3.57 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22055, [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ),
% 3.17/3.57 'c_Log_Opowr'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal'
% 3.17/3.57 ) ) ) ] )
% 3.17/3.57 , clause( 22056, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 3.17/3.57 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 3.17/3.57 , clause( 22057, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 3.17/3.57 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22058, [ 'c_lessequals'( 'c_Log_Olog'( X, Y ), 'c_Log_Olog'( X, Z
% 3.17/3.57 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) )
% 3.17/3.57 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22059, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_lessequals'( 'c_Log_Olog'( Z, X ), 'c_Log_Olog'( Z, Y ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 3.17/3.57 , Z, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22060, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22061, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22062, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22063, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22064, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 3.17/3.57 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.17/3.57 , clause( 22065, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 22066, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 3.17/3.57 , clause( 22067, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 3.17/3.57 , clause( 22068, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22069, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 3.17/3.57 , clause( 22070, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 3.17/3.57 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 22071, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 3.17/3.57 , clause( 22072, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.57 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22073, [ ~( =( 'c_Complex_Ocomplex_OComplex'( X, Y ),
% 3.17/3.57 'c_Complex_Oii' ) ), =( Y, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22074, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22075, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22076, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22077, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22078, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 3.17/3.57 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 3.17/3.57 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 3.17/3.57 X ), Z, X ) ) ] )
% 3.17/3.57 , clause( 22079, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22080, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22081, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 22082, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , X ) ) ] )
% 3.17/3.57 , clause( 22083, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.57 , clause( 22084, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 3.17/3.57 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 22085, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22086, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 3.17/3.57 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 22087, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 3.17/3.57 'c_lessequals'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 22088, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 3.17/3.57 'c_lessequals'( Y, Z, X ) ] )
% 3.17/3.57 , clause( 22089, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 3.17/3.57 'c_lessequals'( Z, Y, X ) ) ] )
% 3.17/3.57 , clause( 22090, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 3.17/3.57 , clause( 22091, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 3.17/3.57 , clause( 22092, [ 'c_lessequals'( 'c_Transcendental_Oln'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22093, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 3.17/3.57 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 3.17/3.57 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22094, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 3.17/3.57 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 3.17/3.57 'c_RealVector_Oof__real'( Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 22095, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22096, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.57 , ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.57 , 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22097, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22098, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.57 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y
% 3.17/3.57 , 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22099, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.17/3.57 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 3.17/3.57 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22100, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 3.17/3.57 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 3.17/3.57 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22101, [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 3.17/3.57 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.57 'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22102, [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 'c_Transcendental_Otan'( X ) ) ] )
% 3.17/3.57 , clause( 22103, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 3.17/3.57 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 3.17/3.57 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22104, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 3.17/3.57 , X ) ) ] )
% 3.17/3.57 , clause( 22105, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , X ) ) ] )
% 3.17/3.57 , clause( 22106, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22107, [ =( 'c_Log_Olog'( X, Y ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oln'( Z ),
% 3.17/3.57 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), 'c_Log_Olog'( Z, Y ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), =( Z, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), Z, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22108, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 3.17/3.57 , clause( 22109, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 3.17/3.57 , clause( 22110, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22111, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ),
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Z, U, X
% 3.17/3.57 ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22112, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.57 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.57 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 3.17/3.57 , clause( 22113, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.57 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 3.17/3.57 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 3.17/3.57 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22114, [ =( 'c_Complex_Ocis'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22115, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 3.17/3.57 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22116, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22117, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 3.17/3.57 , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22118, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22119, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22120, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 3.17/3.57 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22121, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22122, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 3.17/3.57 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22123, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 3.17/3.57 ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.57 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22124, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 3.17/3.57 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22125, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 3.17/3.57 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22126, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22127, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22128, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22129, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22130, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22131, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22132, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22133, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.57 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 3.17/3.57 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22134, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.57 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 3.17/3.57 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22135, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22136, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22137, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22138, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22139, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 3.17/3.57 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 3.17/3.57 , clause( 22140, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22141, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22142, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ), =( Y, Z ) ] )
% 3.17/3.57 , clause( 22143, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ), =( Y, Z ) ] )
% 3.17/3.57 , clause( 22144, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.57 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 3.17/3.57 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 3.17/3.57 , clause( 22145, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22146, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22147, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22148, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22149, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 3.17/3.57 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 3.17/3.57 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22150, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 3.17/3.57 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 3.17/3.57 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22151, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 3.17/3.57 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 3.17/3.57 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 3.17/3.57 , clause( 22152, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22153, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22154, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22155, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 3.17/3.57 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22156, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22157, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22158, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22159, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22160, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 3.17/3.57 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 3.17/3.57 , clause( 22161, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22162, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22163, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 3.17/3.57 ) ) ] )
% 3.17/3.57 , clause( 22164, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22165, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22166, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 3.17/3.57 ) ) ] )
% 3.17/3.57 , clause( 22167, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~(
% 3.17/3.57 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22168, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~(
% 3.17/3.57 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 3.17/3.57 , clause( 22169, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 3.17/3.57 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 22170, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 3.17/3.57 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 22171, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 3.17/3.57 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 22172, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 3.17/3.57 , clause( 22173, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 3.17/3.57 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.57 ) ) ] )
% 3.17/3.57 , clause( 22174, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 3.17/3.57 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.57 ) ) ] )
% 3.17/3.57 , clause( 22175, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 22176, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 22177, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22178, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22179, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 3.17/3.57 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22180, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22181, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22182, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 22183, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 22184, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22185, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22186, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 3.17/3.57 ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22187, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22188, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22189, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.17/3.57 , clause( 22190, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.17/3.57 , clause( 22191, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22192, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.17/3.57 , clause( 22193, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22194, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22195, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22196, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22197, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22198, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22199, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 3.17/3.57 =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.17/3.57 , clause( 22200, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 3.17/3.57 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.17/3.57 , clause( 22201, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22202, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 3.17/3.57 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22203, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ] )
% 3.17/3.57 , clause( 22204, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ] )
% 3.17/3.57 , clause( 22205, [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22206, [ ~( =( 'c_Log_Opowr'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ) ] )
% 3.17/3.57 , clause( 22207, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 3.17/3.57 , clause( 22208, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 3.17/3.57 , clause( 22209, [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22210, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22211, [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ) ] )
% 3.17/3.57 , clause( 22212, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22213, [ =( 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22214, [ =( 'c_Transcendental_Oarctan'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22215, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22216, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 3.17/3.57 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 3.17/3.57 , clause( 22217, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 3.17/3.57 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 3.17/3.57 X ), X ) ) ] )
% 3.17/3.57 , clause( 22218, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 3.17/3.57 X ) ] )
% 3.17/3.57 , clause( 22219, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X
% 3.17/3.57 ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Osgn__class_Osgn'(
% 3.17/3.57 Y, 'tc_RealDef_Oreal' ), 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 22220, [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22221, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 22222, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 3.17/3.57 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.57 Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 22223, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 22224, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 3.17/3.57 , clause( 22225, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y )
% 3.17/3.57 , ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22226, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 3.17/3.57 Y ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 3.17/3.57 , clause( 22227, [ =( 'c_Transcendental_Oln'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( 'c_Transcendental_Oln'( X ),
% 3.17/3.57 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22228, [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22229, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22230, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22231, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X
% 3.17/3.57 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal'
% 3.17/3.57 ) ) ] )
% 3.17/3.57 , clause( 22232, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22233, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 3.17/3.57 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 3.17/3.57 , clause( 22234, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 3.17/3.57 , clause( 22235, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22236, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 3.17/3.57 X ) ) ] )
% 3.17/3.57 , clause( 22237, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1',
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22238, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 3.17/3.57 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 22239, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22240, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 3.17/3.57 , clause( 22241, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 3.17/3.57 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 3.17/3.57 , clause( 22242, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 3.17/3.57 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 3.17/3.57 , clause( 22243, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 3.17/3.57 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 3.17/3.57 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22244, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 3.17/3.57 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22245, [ =( 'c_Transcendental_Oln'( X ), 'c_Log_Olog'(
% 3.17/3.57 'c_Transcendental_Oexp'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), X ) ) ] )
% 3.17/3.57 , clause( 22246, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 3.17/3.57 , clause( 22247, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22248, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22249, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22250, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22251, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22252, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22253, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 3.17/3.57 X ), X ) ) ] )
% 3.17/3.57 , clause( 22254, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Z, T, X ) ) ] )
% 3.17/3.57 , clause( 22255, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Z, T, X ) ) ] )
% 3.17/3.57 , clause( 22256, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 3.17/3.57 X ), X ) ) ] )
% 3.17/3.57 , clause( 22257, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Y, T, X ) ) ] )
% 3.17/3.57 , clause( 22258, [ ~(
% 3.17/3.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Y, T, X ) ) ] )
% 3.17/3.57 , clause( 22259, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 3.17/3.57 , Y, X ) ] )
% 3.17/3.57 , clause( 22260, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 3.17/3.57 , X ) ] )
% 3.17/3.57 , clause( 22261, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22262, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22263, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 3.17/3.57 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 3.17/3.57 , clause( 22264, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 3.17/3.57 , clause( 22265, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 3.17/3.57 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 3.17/3.57 , clause( 22266, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 3.17/3.57 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22267, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 3.17/3.57 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22268, [ ~( 'class_Orderings_Oorder'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 3.17/3.57 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 3.17/3.57 , clause( 22269, [ ~( 'class_Orderings_Oorder'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 3.17/3.57 , clause( 22270, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 3.17/3.57 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22271, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22272, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 3.17/3.57 , clause( 22273, [ 'c_lessequals'( 'c_Transcendental_Oln'( X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_Log_Opowr'( X, Y ), Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 3.17/3.57 , 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22274, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 3.17/3.57 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22275, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 3.17/3.57 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22276, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 3.17/3.57 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.57 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22277, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 3.17/3.57 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22278, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 3.17/3.57 , X ), X ), Y ) ] )
% 3.17/3.57 , clause( 22279, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y
% 3.17/3.57 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22280, [ =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22281, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.57 ) ) ] )
% 3.17/3.57 , clause( 22282, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.57 , Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 22283, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 3.17/3.57 , T, X ), X ) ) ] )
% 3.17/3.57 , clause( 22284, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 3.17/3.57 , T, X ), X ) ) ] )
% 3.17/3.57 , clause( 22285, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 3.17/3.57 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.57 , Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 22286, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 3.17/3.57 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.57 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ] )
% 3.17/3.57 , clause( 22287, [ =( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22288, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 3.17/3.57 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22289, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 3.17/3.57 , =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'(
% 3.17/3.57 'c_Lattices_Olower__semilattice__class_Oinf'(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 3.17/3.57 , X ), X ), X ) ) ] )
% 3.17/3.57 , clause( 22290, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 22291, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 3.17/3.57 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22292, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22293, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 3.17/3.57 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 3.17/3.57 , clause( 22294, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 3.17/3.57 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 3.17/3.57 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 3.17/3.57 , clause( 22295, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 3.17/3.57 , =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 3.17/3.57 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 22296, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 3.17/3.57 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 22297, [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 3.17/3.57 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 3.17/3.57 ), X ) ) ] )
% 3.17/3.57 , clause( 22298, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 3.17/3.57 , X ) ) ] )
% 3.17/3.57 , clause( 22299, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 3.17/3.57 , X ) ) ] )
% 3.17/3.57 , clause( 22300, [ =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_Transcendental_Oarctan'( X ), 'c_Transcendental_Oarctan'( Y ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22301, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22302, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 3.17/3.57 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22303, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 3.17/3.57 , clause( 22304, [ =( 'c_Log_Olog'( X, 'c_Log_Opowr'( X, Y ) ), Y ), =( X,
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22305, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22306, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.57 X, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'(
% 3.17/3.57 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22307, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 3.17/3.57 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 3.17/3.57 , clause( 22308, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 3.17/3.57 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 3.17/3.57 , clause( 22309, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 Y, X ) ) ] )
% 3.17/3.57 , clause( 22310, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 Y, X ) ) ] )
% 3.17/3.57 , clause( 22311, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 3.17/3.57 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 3.17/3.57 , clause( 22312, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22313, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 Y, X ) ) ] )
% 3.17/3.57 , clause( 22314, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 3.17/3.57 Y, X ) ) ] )
% 3.17/3.57 , clause( 22315, [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 3.17/3.57 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22316, [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 3.17/3.57 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ] )
% 3.17/3.57 , clause( 22317, [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22318, [ =( 'c_Complex_Ocomplex_OComplex'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ] )
% 3.17/3.57 , clause( 22319, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.57 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22320, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1'( X ),
% 3.17/3.57 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22321, [ =( 'c_Log_Olog'( X, X ), 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22322, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22323, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22324, [ =( 'c_Complex_Oii', 'c_Complex_Ocomplex_OComplex'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ] )
% 3.17/3.57 , clause( 22325, [ ~( =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), X ) ), 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22326, [ =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22327, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Oln'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22328, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.17/3.57 ~( 'c_HOL_Oord__class_Oless'( 'c_Log_Olog'( Z, X ), 'c_Log_Olog'( Z, Y )
% 3.17/3.57 , 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 3.17/3.57 , Z, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22329, [ 'c_HOL_Oord__class_Oless'( 'c_Log_Olog'( X, Y ),
% 3.17/3.57 'c_Log_Olog'( X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 3.17/3.57 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 3.17/3.57 , X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22330, [ ~( =( 'c_Transcendental_Oln'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22331, [ =( 'c_Complex_Ocomplex_OComplex'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), 'c_Complex_Oii' ) ] )
% 3.17/3.57 , clause( 22332, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22333, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22334, [ =( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), X,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22335, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22336, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22337, [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22338, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22339, [ 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22340, [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.57 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22341, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22342, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 3.17/3.57 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22343, [ =( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1'( X ), X,
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22344, [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 3.17/3.57 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22345, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 3.17/3.57 X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22346, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22347, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22348, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 3.17/3.57 , 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22349, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22350, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a'
% 3.17/3.57 ) ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x',
% 3.17/3.57 't_a' ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ] )
% 3.17/3.57 , clause( 22351, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a'
% 3.17/3.57 ) ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x',
% 3.17/3.57 't_a' ), 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ] )
% 3.17/3.57 , clause( 22352, [ =( 'c_Log_Opowr'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22353, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22354, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), Y, X ), Y ) ] )
% 3.17/3.57 , clause( 22355, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22356, [ =( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 X ) ] )
% 3.17/3.57 , clause( 22357, [ =( 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22358, [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 3.17/3.57 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X
% 3.17/3.57 , 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22359, [ =( 'c_Transcendental_Ocos'( 'c_Complex_Oarg'(
% 3.17/3.57 'c_Complex_Ocomplex_OComplex'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), X ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22360, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 3.17/3.57 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22361, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 3.17/3.57 , ~( 'c_lessequals'( X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22362, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.57 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22363, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 3.17/3.57 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22364, [ =( 'c_Transcendental_Ocos'(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 'c_Transcendental_Ocos'( X ) ) ] )
% 3.17/3.57 , clause( 22365, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 3.17/3.57 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22366, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 3.17/3.57 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 3.17/3.57 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22367, [ =( 'c_Transcendental_Otan'( X ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'( X ),
% 3.17/3.57 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22368, [ =( 'c_Complex_Ocis'( X ), 'c_Complex_Ocomplex_OComplex'(
% 3.17/3.57 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'( X ) ) ) ] )
% 3.17/3.57 , clause( 22369, [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 3.17/3.57 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22370, [ =( 'c_Transcendental_Osin'(
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 3.17/3.57 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22371, [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ] )
% 3.17/3.57 , clause( 22372, [ =( 'c_HOL_Oplus__class_Oplus'(
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 3.17/3.57 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 3.17/3.57 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22373, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 3.17/3.57 'c_Complex_Ocomplex_OComplex'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_Transcendental_Osin'( X ) ), 'tc_Complex_Ocomplex' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22374, [ =( 'c_Transcendental_Otan'( 'v_x' ),
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'( 'v_x' ),
% 3.17/3.57 'c_Transcendental_Ocos'( 'v_x' ), 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22375, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 3.17/3.57 , clause( 22376, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.17/3.57 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22377, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22378, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.17/3.57 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 X ), X ) ] )
% 3.17/3.57 , clause( 22379, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 3.17/3.57 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 3.17/3.57 , clause( 22380, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 3.17/3.57 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 3.17/3.57 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22381, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ),
% 3.17/3.57 'c_Ring__and__Field_Ozero__neq__one'( 'c_HOL_Oone__class_Oone'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 3.17/3.57 , clause( 22382, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 3.17/3.57 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 3.17/3.57 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.17/3.57 , clause( 22383, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 3.17/3.57 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 3.17/3.57 , clause( 22384, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 3.17/3.57 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.17/3.57 , clause( 22385, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 3.17/3.57 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22386, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 3.17/3.57 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 3.17/3.57 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 3.17/3.57 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22387, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22388, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 3.17/3.57 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22389, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 3.17/3.57 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 3.17/3.57 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22390, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 3.17/3.57 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22391, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 3.17/3.57 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22392, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 3.17/3.57 =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22393, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22394, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 3.17/3.57 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 3.17/3.57 , clause( 22395, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 3.17/3.57 =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X )
% 3.17/3.57 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22396, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 3.17/3.57 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 3.17/3.57 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 3.17/3.57 , clause( 22397, [ =( 'c_Log_Opowr'( X, 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22398, [ =( 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22399, [ =( 'c_Transcendental_Oln'( 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22400, [ =( 'c_Log_Olog'( X, 'c_HOL_Oone__class_Oone'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22401, [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22402, [ =( 'c_Transcendental_Ocos'(
% 3.17/3.57 'c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22403, [ ~( =( 'c_Transcendental_Ocos'(
% 3.17/3.57 'c_Transcendental_Oarctan'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ) ] )
% 3.17/3.57 , clause( 22404, [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22405, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22406, [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22407, [ 'c_lessequals'( 'c_Transcendental_Osin'( X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22408, [ ~( =( 'c_Transcendental_Osin'( X ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =(
% 3.17/3.57 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22409, [ ~( =( 'c_Transcendental_Ocos'( X ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =(
% 3.17/3.57 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22410, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 3.17/3.57 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22411, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ] )
% 3.17/3.57 , clause( 22412, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22413, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22414, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 3.17/3.57 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22415, [ 'c_HOL_Oord__class_Oless'( 'v_x',
% 3.17/3.57 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 3.17/3.57 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 3.17/3.57 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22416, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.17/3.57 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22417, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'v_x', 'c_HOL_Otimes__class_Otimes'(
% 3.17/3.57 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 3.17/3.57 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 3.17/3.57 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22418, [ ~( =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x',
% 3.17/3.57 'c_Transcendental_Opi' ) ) ] )
% 3.17/3.57 , clause( 22419, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.17/3.57 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 3.17/3.57 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'v_x',
% 3.17/3.57 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22420, [ =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.17/3.57 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22421, [ =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.17/3.57 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 22422, [
% 3.17/3.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22423, [
% 3.17/3.57 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22424, [
% 3.17/3.57 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22425, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22426, [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22427, [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22428, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22429, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22430, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22431, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22432, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22433, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22434, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22435, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22436, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22437, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22438, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22439, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22440, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22441, [ 'class_Ring__and__Field_Opordered__semiring'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22442, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22443, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22444, [ 'class_Ring__and__Field_Oordered__semiring'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22445, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22446, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22447, [ 'class_Ring__and__Field_Oordered__semidom'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22448, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22449, [ 'class_RealVector_Oreal__normed__algebra'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22450, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22451, [ 'class_RealVector_Oreal__normed__vector'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22452, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22453, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22454, [ 'class_Ring__and__Field_Opordered__ring'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22455, [ 'class_Ring__and__Field_Oordered__field'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22456, [ 'class_Ring__and__Field_Olordered__ring'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22457, [ 'class_Ring__and__Field_Odivision__ring'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22458, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22459, [ 'class_RealVector_Oreal__normed__field'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22460, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22461, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22462, [ 'class_Ring__and__Field_Oordered__idom'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22463, [ 'class_RealVector_Oreal__div__algebra'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22464, [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22465, [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22466, [ 'class_Ring__and__Field_Omult__mono1'(
% 3.17/3.57 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22467, [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22468, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22469, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22470, [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22471, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22472, [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22473, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22474, [ 'class_RealVector_Osgn__div__norm'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22475, [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22476, [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22477, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22478, [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22479, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22480, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22481, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22482, [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22483, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22484, [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22485, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22486, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 3.17/3.57 )
% 3.17/3.57 , clause( 22487, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22488, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22489, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22490, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22491, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22492, [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ] )
% 3.17/3.57 , clause( 22493, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22494, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22495, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22496, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22497, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22498, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22499, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22500, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22501, [ 'class_RealVector_Oreal__normed__algebra'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22502, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22503, [ 'class_RealVector_Oreal__normed__vector'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22504, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22505, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22506, [ 'class_Ring__and__Field_Odivision__ring'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22507, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22508, [ 'class_RealVector_Oreal__normed__field'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22509, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22510, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22511, [ 'class_RealVector_Oreal__div__algebra'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22512, [ 'class_RealVector_Oreal__algebra__1'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22513, [ 'class_OrderedGroup_Oab__group__add'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22514, [ 'class_Ring__and__Field_Omult__zero'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22515, [ 'class_OrderedGroup_Omonoid__mult'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22516, [ 'class_Ring__and__Field_Osemiring'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22517, [ 'class_RealVector_Osgn__div__norm'(
% 3.17/3.57 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22518, [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22519, [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22520, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22521, [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22522, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 3.17/3.57 ) ] )
% 3.17/3.57 , clause( 22523, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22524, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22525, [ 'class_RealVector_Odist__norm'( 'tc_Complex_Ocomplex' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22526, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22527, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 3.17/3.57 ] )
% 3.17/3.57 , clause( 22528, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 , clause( 22529, [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ] )
% 3.17/3.57 ] ).
% 3.17/3.57
% 3.17/3.57
% 3.17/3.57
% 3.17/3.57 subsumption(
% 3.17/3.57 clause( 100, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X
% 3.17/3.57 , Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.17/3.57 , clause( 21310, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 3.24/3.61 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.24/3.61 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 3.24/3.61
% 3.24/3.61
% 3.24/3.61 subsumption(
% 3.24/3.61 clause( 989, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 3.24/3.61 Y, X, 'tc_RealDef_Oreal' ) ] )
% 3.24/3.61 , clause( 22312, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 3.24/3.61 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 3.24/3.61 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 3.24/3.61 ), ==>( 1, 1 )] ) ).
% 3.24/3.61
% 3.24/3.61
% 3.24/3.61 subsumption(
% 3.24/3.61 clause( 1070, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.24/3.61 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ] )
% 3.24/3.61 , clause( 22405, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.24/3.61 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ] )
% 3.24/3.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.24/3.61
% 3.24/3.61
% 3.24/3.61 subsumption(
% 3.24/3.61 clause( 1078, [ 'c_HOL_Oord__class_Oless'( 'v_x',
% 3.24/3.61 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 3.24/3.61 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 3.24/3.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.24/3.61 , clause( 22415, [ 'c_HOL_Oord__class_Oless'( 'v_x',
% 3.24/3.61 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 3.24/3.61 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 3.24/3.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.24/3.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.24/3.61
% 3.24/3.61
% 3.24/3.61 resolution(
% 3.24/3.61 clause( 28525, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.61 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 3.24/3.61 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.61 , clause( 22417, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.61 'c_HOL_Oord__class_Oless'( 'v_x', 'c_HOL_Otimes__class_Otimes'(
% 3.24/3.61 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 3.24/3.61 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 3.24/3.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 3.24/3.61 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 3.24/3.61 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.61 , 1, clause( 1078, [ 'c_HOL_Oord__class_Oless'( 'v_x',
% 3.24/3.61 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 3.24/3.61 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 3.24/3.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 3.24/3.61 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.24/3.61
% 3.24/3.61
% 3.24/3.61 subsumption(
% 3.24/3.61 clause( 1079, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.61 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 3.24/3.61 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.61 , clause( 28525, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.61 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 3.24/3.61 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.24/3.61 ).
% 3.24/3.61
% 3.24/3.61
% 3.24/3.61 subsumption(
% 3.24/3.61 clause( 1080, [ ~( =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.24/3.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x',
% 3.24/3.61 'c_Transcendental_Opi' ) ) ] )
% 3.24/3.61 , clause( 22418, [ ~( =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.24/3.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x',
% 3.24/3.61 'c_Transcendental_Opi' ) ) ] )
% 3.24/3.61 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.24/3.61 ).
% 3.24/3.61
% 3.24/3.61
% 3.24/3.61 resolution(
% 3.24/3.61 clause( 31537, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.61 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 3.24/3.61 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.61 , clause( 22419, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.61 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 3.24/3.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 3.24/3.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'v_x',
% 3.24/3.61 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.61 , 2, clause( 1070, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 3.24/3.61 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ] )
% 3.24/3.63 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 subsumption(
% 3.24/3.63 clause( 1081, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.63 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 3.24/3.63 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , clause( 31537, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.63 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 3.24/3.63 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 3.24/3.63 ).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 subsumption(
% 3.24/3.63 clause( 1082, [ =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , clause( 22420, [ =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 subsumption(
% 3.24/3.63 clause( 1083, [ =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.24/3.63 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , clause( 22421, [ =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.24/3.63 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 paramod(
% 3.24/3.63 clause( 34540, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.63 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 3.24/3.63 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , clause( 1082, [ =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , 0, clause( 1081, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.63 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 3.24/3.63 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 eqrefl(
% 3.24/3.63 clause( 34541, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x',
% 3.24/3.63 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , clause( 34540, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.63 'c_HOL_Oord__class_Oless'( 'v_x', 'c_Transcendental_Opi',
% 3.24/3.63 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , 0, substitution( 0, [] )).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 subsumption(
% 3.24/3.63 clause( 21142, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x',
% 3.24/3.63 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , clause( 34541, [ ~( 'c_HOL_Oord__class_Oless'( 'v_x',
% 3.24/3.63 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 paramod(
% 3.24/3.63 clause( 34546, [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.24/3.63 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x',
% 3.24/3.63 'c_Transcendental_Opi' ) ) ] )
% 3.24/3.63 , clause( 1083, [ =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.24/3.63 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , 0, clause( 1080, [ ~( =( 'c_Transcendental_Ocos'( 'v_x' ),
% 3.24/3.63 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x',
% 3.24/3.63 'c_Transcendental_Opi' ) ) ] )
% 3.24/3.63 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 eqrefl(
% 3.24/3.63 clause( 34547, [ ~( =( 'v_x', 'c_Transcendental_Opi' ) ) ] )
% 3.24/3.63 , clause( 34546, [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 3.24/3.63 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x',
% 3.24/3.63 'c_Transcendental_Opi' ) ) ] )
% 3.24/3.63 , 0, substitution( 0, [] )).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 subsumption(
% 3.24/3.63 clause( 21143, [ ~( =( 'v_x', 'c_Transcendental_Opi' ) ) ] )
% 3.24/3.63 , clause( 34547, [ ~( =( 'v_x', 'c_Transcendental_Opi' ) ) ] )
% 3.24/3.63 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 paramod(
% 3.24/3.63 clause( 34551, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.63 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 3.24/3.63 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , clause( 1082, [ =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , 0, clause( 1079, [ ~( =( 'c_Transcendental_Osin'( 'v_x' ),
% 3.24/3.63 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 3.24/3.63 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 3.24/3.63 'tc_RealDef_Oreal' ) ) ] )
% 3.24/3.63 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 3.24/3.63
% 3.24/3.63
% 3.24/3.63 eqrefl(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------