TSTP Solution File: ALG383-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG383-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:38 EDT 2022
% Result : Timeout 294.74s 295.16s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG383-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.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 8 12:38:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.00/1.36 *** allocated 10000 integers for termspace/termends
% 1.00/1.36 *** allocated 10000 integers for clauses
% 1.00/1.36 *** allocated 10000 integers for justifications
% 1.00/1.36 *** allocated 15000 integers for termspace/termends
% 1.00/1.36 *** allocated 22500 integers for termspace/termends
% 1.00/1.36 Bliksem 1.12
% 1.00/1.36
% 1.00/1.36
% 1.00/1.36 Automatic Strategy Selection
% 1.00/1.36
% 1.00/1.36 Clauses:
% 1.00/1.36 [
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.36 ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.00/1.36 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.00/1.36 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.00/1.36 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.36 , X ) ) ), =( Y, Z ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.36 , X ) ) ), =( Y, Z ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.36 , Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.36 ), =( Z, Y ) ],
% 1.00/1.36 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.36 , Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.00/1.36 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.36 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.36 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.36 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.36 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.36 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.36 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.36 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.00/1.36 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.36 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.00/1.36 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.00/1.36 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.00/1.36 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.36 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36 ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.36 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocnj'(
% 1.00/1.36 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.36 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.00/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.36 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.36 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.36 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.36 , Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.36 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.36 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.36 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.36 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.36 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.36 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.00/1.36 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.36 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 1.00/1.36 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36 [ =( 'c_Complex_ORe'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.36 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y )
% 1.00/1.36 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_OIm'( X
% 1.00/1.36 ), 'c_Complex_OIm'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.36 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.36 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.36 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.36 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 1.00/1.36 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 1.00/1.36 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.00/1.36 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 1.00/1.36 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ =( 'c_Complex_OIm'( 'c_HOL_Otimes__class_Otimes'( X, 'c_Complex_Ocnj'(
% 1.00/1.36 X ), 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.36 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36 ), X ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 Z, Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.36 , X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.00/1.36 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.36 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.36 Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.00/1.36 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.36 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.36 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.36 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.36 ) ],
% 1.00/1.36 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36 , T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36 , T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.36 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.36 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.36 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.00/1.36 X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.00/1.36 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.36 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 1.00/1.36 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.36 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.36 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.36 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.36 , X ), W, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.36 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.36 , X ), T, X ), W, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.36 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.00/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 1.00/1.36 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 1.00/1.36 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.00/1.36 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 1.00/1.36 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.00/1.36 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.36 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 T, X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.36 ],
% 1.00/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.00/1.36 ],
% 1.00/1.36 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.36 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.36 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.00/1.36 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.36 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.36 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.36 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.00/1.36 ), X ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 1.00/1.36 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.00/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.00/1.36 ), Y ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.36 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.36 , 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.36 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.36 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36 , Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.36 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.36 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.36 [ =( 'c_Complex_OIm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.36 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_OIm'( X
% 1.00/1.36 ), 'c_Complex_OIm'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.00/1.36 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.36 T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.36 X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.36 T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.36 X ), T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.36 T, X ), X ) ) ],
% 1.00/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.36 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.36 X ), T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.00/1.36 , X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 1.00/1.36 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.36 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 1.00/1.36 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.36 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.36 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.36 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 Y, Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 Y, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.00/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.00/1.36 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.36 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 1.00/1.36 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.00/1.36 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.00/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.00/1.36 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.00/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.00/1.36 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 1.00/1.36 X ), X ), Y ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.36 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.00/1.36 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.00/1.36 X ), X ), X ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.00/1.36 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.36 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 1.00/1.36 Z, Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.00/1.36 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.36 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.36 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.36 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.36 Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 1.00/1.36 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.00/1.36 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.36 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.36 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.00/1.36 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 1.00/1.36 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.00/1.36 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.00/1.36 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.36 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.36 X ) ) ), =( Z, T ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.00/1.36 X ) ) ), =( Z, T ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.36 X ) ) ), =( Y, T ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ),
% 1.00/1.36 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 1.00/1.36 X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 1.00/1.36 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.00/1.36 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.36 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36 , Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.36 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.00/1.36 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.36 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.00/1.36 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.36 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.00/1.36 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.36 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.36 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.36 , T, X ) ) ), =( Z, T ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.36 , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 1.00/1.36 X ), X ), Y ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.36 ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.36 , T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.00/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ), T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.36 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.36 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.36 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.00/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.36 ) ],
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.36 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.00/1.36 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.36 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.36 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.36 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.36 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 1.00/1.36 , X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 1.00/1.36 , X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 1.00/1.36 Z, Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.36 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.00/1.36 [ =( 'c_Complex_Ocnj'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.36 'tc_Complex_Ocomplex' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_Ocnj'(
% 1.00/1.36 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.36 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 ) ), =( Y, Z ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.36 ) ), =( Y, Z ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.36 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.36 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.36 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.36 , U, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 1.00/1.36 , Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.36 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 1.00/1.36 , T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.00/1.36 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36 ],
% 1.00/1.36 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.36 ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.00/1.36 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.00/1.36 ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.00/1.36 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.36 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.36 , 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.00/1.36 ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.36 ) ],
% 1.00/1.36 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.36 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.36 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.00/1.36 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.00/1.36 , 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.00/1.36 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.36 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 1.00/1.36 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.36 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.36 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.00/1.36 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 1.00/1.36 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 1.00/1.36 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.36 X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 1.00/1.36 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.36 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.36 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 1.00/1.36 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 1.00/1.36 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.36 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.00/1.36 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.00/1.36 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.36 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 1.00/1.36 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.00/1.36 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.36 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.36 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.36 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.36 [ =( 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.36 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.00/1.36 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.36 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.00/1.36 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.36 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.36 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.36 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.36 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.00/1.36 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.00/1.36 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.36 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.36 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.36 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.36 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.36 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.00/1.36 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.36 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.00/1.36 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 1.00/1.36 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.00/1.36 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ),
% 1.00/1.36 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.36 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.36 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.36 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.36 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.36 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.36 ,
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.36 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.36 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.37 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.37 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 1.00/1.37 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.37 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.37 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.37 , X ), W, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 1.00/1.37 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 1.00/1.37 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.00/1.37 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.37 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.00/1.37 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.00/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.00/1.37 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.00/1.37 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.37 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.37 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.00/1.37 Y, Z, X ), X ) ) ],
% 1.00/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.00/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.37 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.37 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.00/1.37 W, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.37 , X ), T, X ), W, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.00/1.37 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.00/1.37 W, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.37 , X ), W, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 1.00/1.37 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.37 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.37 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.00/1.37 [ =( 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_NthRoot_Osqrt'( 'c_Complex_ORe'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.00/1.37 'c_Complex_Ocnj'( X ), 'tc_Complex_Ocomplex' ) ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.37 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.37 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.37 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.37 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 1.00/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.00/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ), T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37 ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.37 ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.00/1.37 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 1.00/1.37 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.37 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 1.00/1.37 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.00/1.37 ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.00/1.37 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.37 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.37 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37 ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 1.00/1.37 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 1.00/1.37 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 1.00/1.37 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.37 ), Y ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.37 , Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37 ), Y ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37 ), Y ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.37 ), Y ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.37 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'( 'v_r____',
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.37 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.00/1.37 T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 1.00/1.37 T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.00/1.37 T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 1.00/1.37 T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.37 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.37 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 T, Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.00/1.37 'c_lessequals'( Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 T, Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.00/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.37 Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.00/1.37 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.37 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.37 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.37 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.00/1.37 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.00/1.37 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.00/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.00/1.37 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.37 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.37 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.00/1.37 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.00/1.37 [ ~( =( 'c_Complex_OIm'( X ), 'c_Complex_OIm'( Y ) ) ), ~( =(
% 1.00/1.37 'c_Complex_ORe'( X ), 'c_Complex_ORe'( Y ) ) ), =( X, Y ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 1.00/1.37 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ =( 'c_Complex_ORe'( 'c_Complex_Ocnj'( X ) ), 'c_Complex_ORe'( X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ =( 'c_Complex_OIm'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.37 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Complex_ORe'( X ), 'c_Complex_OIm'( Y )
% 1.00/1.37 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'c_Complex_OIm'( X
% 1.00/1.37 ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.00/1.37 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.00/1.37 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.37 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.37 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.00/1.37 ), Y, X ) ), =( Z, T ) ],
% 1.00/1.37 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.37 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.00/1.37 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.00/1.37 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.37 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 1.00/1.37 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 1.00/1.37 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.00/1.37 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.00/1.37 ) ],
% 1.00/1.37 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.37 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.37 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.37 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ =( 'c_Complex_ORe'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.37 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_ORe'( X
% 1.00/1.37 ), 'c_Complex_ORe'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 1.00/1.37 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.00/1.37 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37 , Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.37 , T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.37 , T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37 , Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.00/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 1.00/1.37 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 1.00/1.37 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ =( 'c_Complex_OIm'( 'c_Complex_Ocnj'( X ) ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_Complex_OIm'( X ), 'tc_RealDef_Oreal'
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.37 Y, X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.00/1.37 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.00/1.37 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.00/1.37 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.00/1.37 , X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.00/1.37 , X ), Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.00/1.37 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.00/1.37 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.00/1.37 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.37 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.00/1.37 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.00/1.37 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.00/1.37 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.00/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.00/1.37 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 1.00/1.37 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.00/1.37 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.00/1.37 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.00/1.37 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.00/1.37 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.00/1.37 , X ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.00/1.37 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.00/1.37 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.00/1.37 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.00/1.37 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.37 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.00/1.37 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 Z, Y, X ), X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_OIm'( X ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.00/1.37 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 1.00/1.37 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.37 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 1.00/1.37 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 1.00/1.37 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.00/1.37 'tc_Complex_Ocomplex' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.37 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.00/1.37 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 1.00/1.37 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 1.00/1.37 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.00/1.37 'tc_Complex_Ocomplex' ) ) ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.00/1.37 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 1.00/1.37 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 1.00/1.37 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, 'v_cs____',
% 1.00/1.37 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'v_sko__local__XpCons__1__1'( Y, 'v_cs____', X ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Z, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ), =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, 'v_cs____',
% 1.00/1.37 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'v_sko__local__XpCons__Xhyps__1'( Y, 'v_cs____', X ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Z, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ), =( 'v_cs____', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.37 'c_Polynomial_Opoly'( X,
% 1.00/1.37 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'(
% 1.00/1.37 X, Y ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( X, Z,
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( Z,
% 1.00/1.37 'tc_Complex_Ocomplex' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.37 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 1.00/1.37 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 1.00/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( 'v_r____', 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.37 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'(
% 1.00/1.37 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'v_z____', 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( =( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'v_z____', 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____',
% 1.00/1.37 'v_cs____', 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_aa____',
% 1.00/1.37 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'v_da____',
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.37 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____', 'v_cs____',
% 1.00/1.37 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'v_r____', 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' )
% 1.00/1.37 , 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'v_da____', 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'v_z____', 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____',
% 1.00/1.37 'v_cs____', 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.37 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.37 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.00/1.37 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.37 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 1.00/1.37 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.00/1.37 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.00/1.37 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.37 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.00/1.37 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.37 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.37 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'v_z____', 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c____',
% 1.00/1.37 'v_cs____', 'tc_Complex_Ocomplex' ), 'v_z____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'v_aa____', 'tc_Complex_Ocomplex' ),
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
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% 1.00/1.37 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 1.00/1.37 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 1.00/1.37 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.00/1.37 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.00/1.37 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.00/1.37 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.00/1.37 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.00/1.37 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.00/1.37 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 1.00/1.37 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 1.00/1.37 ] .
% 1.00/1.37
% 1.00/1.37
% 1.00/1.37 percentage equality = 0.192451, percentage horn = 0.940463
% 1.00/1.37 This is a problem with some equality
% 1.00/1.37
% 1.00/1.37
% 1.00/1.37
% 1.00/1.37 Options Used:
% 1.00/1.37
% 1.00/1.37 useres = 1
% 1.00/1.37 useparamod = 1
% 1.00/1.37 useeqrefl = 1
% 1.00/1.37 useeqfact = 1
% 1.00/1.37 usefactor = 1
% 1.00/1.37 usesimpsplitting = 0
% 1.00/1.37 usesimpdemod = 5
% 1.00/1.37 usesimpres = 3
% 1.00/1.37
% 1.00/1.37 resimpinuse = 1000
% 1.00/1.37 resimpclauses = 20000
% 1.00/1.37 substype = eqrewr
% 1.00/1.37 backwardsubs = 1
% 1.00/1.37 selectoldest = 5
% 1.00/1.37
% 1.00/1.37 litorderings [0] = split
% 1.00/1.37 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.37
% 1.00/1.37 termordering = kbo
% 1.00/1.37
% 1.00/1.37 litapriori = 0
% 1.00/1.37 termapriori = 1
% 1.00/1.37 litaposteriori = 0
% 1.00/1.37 termaposteriori = 0
% 1.00/1.37 demodaposteriori = 0
% 1.00/1.37 ordereqreflfact = 0
% 1.00/1.37
% 1.00/1.37 litselect = negord
% 1.00/1.37
% 1.00/1.37 maxweight = 15
% 1.00/1.37 maxdepth = 30000
% 1.00/1.37 maxlength = 115
% 1.00/1.37 maxnrvars = 195
% 1.00/1.37 excuselevel = 1
% 1.00/1.37 increasemaxweight = 1
% 1.00/1.37
% 1.00/1.37 maxselected = 10000000
% 1.00/1.37 maxnrclauses = 10000000
% 1.00/1.37
% 1.00/1.37 showgenerated = 0
% 1.00/1.37 showkept = 0
% 1.00/1.37 showselected = 0
% 1.00/1.37 showdeleted = 0
% 1.00/1.37 showresimp = 1
% 1.00/1.37 showstatus = 2000
% 1.00/1.37
% 1.00/1.37 prologoutput = 1
% 1.00/1.37 nrgoals = 5000000
% 1.00/1.37 totalproof = 1
% 1.00/1.37
% 1.00/1.37 Symbols occurring in the translation:
% 1.00/1.37
% 1.00/1.37 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.37 . [1, 2] (w:1, o:137, a:1, s:1, b:0),
% 1.00/1.37 ! [4, 1] (w:0, o:55, a:1, s:1, b:0),
% 1.00/1.37 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.37 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.37 'class_Ring__and__Field_Ocomm__semiring__1' [40, 1] (w:1, o:63, a:1
% 1.00/1.37 , s:1, b:0),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.00/1.37 'class_RealVector_Oreal__normed__vector' [46, 1] (w:1, o:64, a:1, s:1
% 1.00/1.37 , b:0),
% 1.00/1.37 'tc_RealDef_Oreal' [47, 0] (w:1, o:18, a:1, s:1, b:0),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero' [48, 1] (w:1, o:65, a:1, s:1, b:0),
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm' [49, 2] (w:1, o:162, a:1, s:1, b:0)
% 1.00/1.37 ,
% 1.00/1.37 'c_HOL_Oord__class_Oless' [50, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus' [53, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.00/1.37 'class_OrderedGroup_Opordered__ab__group__add__abs' [56, 1] (w:1, o:
% 1.00/1.37 67, a:1, s:1, b:0),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs' [58, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.00/1.37 'c_lessequals' [59, 3] (w:1, o:172, a:1, s:1, b:0),
% 1.00/1.37 'c_Transcendental_Oexp' [60, 2] (w:1, o:164, a:1, s:1, b:0),
% 1.00/1.37 'class_Orderings_Olinorder' [61, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.00/1.37 'c_Orderings_Oord__class_Omin' [62, 3] (w:1, o:173, a:1, s:1, b:0),
% 1.00/1.37 'class_OrderedGroup_Olordered__ab__group__add__abs' [63, 1] (w:1, o:
% 1.00/1.37 69, a:1, s:1, b:0),
% 1.00/1.37 'c_NthRoot_Osqrt' [66, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.00/1.37 'class_OrderedGroup_Ogroup__add' [67, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.00/1.37
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus' [68, 2] (w:1, o:165, a:1, s:1, b:0),
% 1.00/1.37 'class_Lattices_Oboolean__algebra' [69, 1] (w:1, o:72, a:1, s:1, b:0)
% 1.00/1.37 ,
% 1.00/1.37 'class_Ring__and__Field_Oordered__semidom' [70, 1] (w:1, o:79, a:1
% 1.47/1.86 , s:1, b:0),
% 1.47/1.86 'c_HOL_Oone__class_Oone' [71, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.47/1.86 'c_Power_Opower__class_Opower' [73, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Oordered__idom' [74, 1] (w:1, o:81, a:1, s:1
% 1.47/1.86 , b:0),
% 1.47/1.86 'c_Transcendental_Oarctan' [75, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.47/1.86 'c_Orderings_Oord__class_Omax' [76, 3] (w:1, o:174, a:1, s:1, b:0),
% 1.47/1.86 'class_Lattices_Olower__semilattice' [77, 1] (w:1, o:83, a:1, s:1, b:
% 1.47/1.86 0),
% 1.47/1.86 'c_Lattices_Olower__semilattice__class_Oinf' [78, 3] (w:1, o:176, a:1
% 1.47/1.86 , s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Opordered__ring__abs' [79, 1] (w:1, o:87, a:1
% 1.47/1.86 , s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Oring' [80, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.47/1.86 'class_OrderedGroup_Olordered__ab__group__add' [81, 1] (w:1, o:89, a:
% 1.47/1.86 1, s:1, b:0),
% 1.47/1.86 'class_OrderedGroup_Oab__semigroup__idem__mult' [82, 1] (w:1, o:90
% 1.47/1.86 , a:1, s:1, b:0),
% 1.47/1.86 'class_HOL_Ozero' [83, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.47/1.86 'class_HOL_Oeq' [84, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.47/1.86 'c_HOL_Oeq__class_Oeq' [85, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.47/1.86 'tc_Polynomial_Opoly' [86, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.47/1.86 'c_Polynomial_OpCons' [88, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Ozero__neq__one' [89, 1] (w:1, o:94, a:1, s:1
% 1.47/1.86 , b:0),
% 1.47/1.86 'class_Ring__and__Field_Ono__zero__divisors' [90, 1] (w:1, o:77, a:1
% 1.47/1.86 , s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Omult__zero' [91, 1] (w:1, o:74, a:1, s:1, b:
% 1.47/1.86 0),
% 1.47/1.86 'class_Power_Opower' [92, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Oring__1__no__zero__divisors' [93, 1] (w:1
% 1.47/1.86 , o:115, a:1, s:1, b:0),
% 1.47/1.86 'class_OrderedGroup_Opordered__ab__group__add' [94, 1] (w:1, o:95, a:
% 1.47/1.86 1, s:1, b:0),
% 1.47/1.86 'c_HOL_Ominus__class_Ominus' [95, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Oordered__ring__strict' [96, 1] (w:1, o:78
% 1.47/1.86 , a:1, s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Oordered__semiring__strict' [97, 1] (w:1, o:
% 1.47/1.86 84, a:1, s:1, b:0),
% 1.47/1.86 'tc_Complex_Ocomplex' [98, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.47/1.86 'c_Complex_Ocnj' [99, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Omult__mono1' [100, 1] (w:1, o:75, a:1, s:1
% 1.47/1.86 , b:0),
% 1.47/1.86 'class_Ring__and__Field_Omult__mono' [101, 1] (w:1, o:76, a:1, s:1
% 1.47/1.86 , b:0),
% 1.47/1.86 'class_Ring__and__Field_Opordered__ring' [102, 1] (w:1, o:117, a:1
% 1.47/1.86 , s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Oidom' [103, 1] (w:1, o:118, a:1, s:1, b:0),
% 1.47/1.86
% 1.47/1.86 'class_Int_Onumber__ring' [104, 1] (w:1, o:119, a:1, s:1, b:0),
% 1.47/1.86 'c_Polynomial_Opos__poly' [107, 2] (w:1, o:166, a:1, s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Ocomm__semiring__0' [108, 1] (w:1, o:62, a:1
% 1.47/1.86 , s:1, b:0),
% 1.47/1.86 'c_Polynomial_Osmult' [109, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.47/1.86 'c_Complex_ORe' [110, 1] (w:1, o:120, a:1, s:1, b:0),
% 1.47/1.86 'c_Complex_OIm' [111, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.47/1.86 'class_OrderedGroup_Ocomm__monoid__mult' [114, 1] (w:1, o:96, a:1, s:
% 1.47/1.86 1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Opordered__cancel__semiring' [116, 1] (w:1
% 1.47/1.86 , o:122, a:1, s:1, b:0),
% 1.47/1.86 'class_RealVector_Oreal__normed__algebra' [117, 1] (w:1, o:123, a:1
% 1.47/1.86 , s:1, b:0),
% 1.47/1.86 'class_OrderedGroup_Opordered__comm__monoid__add' [118, 1] (w:1, o:97
% 1.47/1.86 , a:1, s:1, b:0),
% 1.47/1.86 'class_Lattices_Olattice' [119, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.47/1.86 'class_Ring__and__Field_Oring__no__zero__divisors' [120, 1] (w:1, o:
% 1.47/1.86 125, a:1, s:1, b:0),
% 1.47/1.86 'class_OrderedGroup_Oab__group__add' [121, 1] (w:1, o:98, a:1, s:1
% 1.47/1.86 , b:0),
% 1.47/1.86 'class_Ring__and__Field_Oabs__if' [122, 1] (w:1, o:126, a:1, s:1, b:0
% 1.47/1.86 ),
% 1.47/1.86 'class_Ring__and__Field_Oordered__semiring' [123, 1] (w:1, o:85, a:1
% 1.47/1.86 , s:1, b:0),
% 1.47/1.86 'class_Lattices_Obounded__lattice' [126, 1] (w:1, o:127, a:1, s:1, b:
% 1.47/1.86 0),
% 1.47/1.86 'c_Orderings_Obot__class_Obot' [127, 1] (w:1, o:128, a:1, s:1, b:0),
% 1.47/1.86
% 1.47/1.86 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [129, 1]
% 1.47/1.86 (w:1, o:99, a:1, s:1, b:0),
% 1.47/1.86 'class_OrderedGroup_Ocomm__monoid__add' [130, 1] (w:1, o:100, a:1, s:
% 9.04/9.38 1, b:0),
% 9.04/9.38 'class_Ring__and__Field_Olordered__ring' [131, 1] (w:1, o:73, a:1, s:
% 9.04/9.38 1, b:0),
% 9.04/9.38 'class_OrderedGroup_Omonoid__mult' [132, 1] (w:1, o:102, a:1, s:1, b:
% 9.04/9.38 0),
% 9.04/9.38 'c_Polynomial_Opcompose' [133, 3] (w:1, o:181, a:1, s:1, b:0),
% 9.04/9.38 'class_OrderedGroup_Oab__semigroup__mult' [134, 1] (w:1, o:103, a:1
% 9.04/9.38 , s:1, b:0),
% 9.04/9.38 'class_Ring__and__Field_Ocomm__semiring' [143, 1] (w:1, o:129, a:1
% 9.04/9.38 , s:1, b:0),
% 9.04/9.38 'class_OrderedGroup_Oordered__ab__group__add' [144, 1] (w:1, o:66, a:
% 9.04/9.38 1, s:1, b:0),
% 9.04/9.38 'class_Ring__and__Field_Opordered__semiring' [145, 1] (w:1, o:130, a:
% 9.04/9.38 1, s:1, b:0),
% 9.04/9.38 'c_Polynomial_Opoly' [146, 3] (w:1, o:182, a:1, s:1, b:0),
% 9.04/9.38 'class_OrderedGroup_Ocancel__ab__semigroup__add' [149, 1] (w:1, o:104
% 9.04/9.38 , a:1, s:1, b:0),
% 9.04/9.38 'class_OrderedGroup_Ocancel__semigroup__add' [150, 1] (w:1, o:105, a:
% 9.04/9.38 1, s:1, b:0),
% 9.04/9.38 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 9.04/9.38 [151, 2] (w:1, o:167, a:1, s:1, b:0),
% 9.04/9.38 'class_RealVector_Oreal__normed__algebra__1' [152, 1] (w:1, o:131, a:
% 9.04/9.38 1, s:1, b:0),
% 9.04/9.38 'class_Orderings_Oorder' [153, 1] (w:1, o:106, a:1, s:1, b:0),
% 9.04/9.38 'class_Orderings_Opreorder' [154, 1] (w:1, o:107, a:1, s:1, b:0),
% 9.04/9.38 'class_OrderedGroup_Oab__semigroup__add' [155, 1] (w:1, o:108, a:1
% 9.04/9.38 , s:1, b:0),
% 9.04/9.38 'class_Ring__and__Field_Osemiring' [156, 1] (w:1, o:133, a:1, s:1, b:
% 9.04/9.38 0),
% 9.04/9.38 'class_SEQ_Obanach' [158, 1] (w:1, o:136, a:1, s:1, b:0),
% 9.04/9.38 'class_RealVector_Oreal__normed__field' [159, 1] (w:1, o:134, a:1, s:
% 9.04/9.38 1, b:0),
% 9.04/9.38 'class_Ring__and__Field_Oordered__comm__semiring__strict' [160, 1]
% 9.04/9.38 (w:1, o:86, a:1, s:1, b:0),
% 9.04/9.38 'class_OrderedGroup_Olordered__ab__group__add__meet' [161, 1] (w:1
% 9.04/9.38 , o:101, a:1, s:1, b:0),
% 9.04/9.38 'class_Ring__and__Field_Oring__1' [163, 1] (w:1, o:132, a:1, s:1, b:0
% 9.04/9.38 ),
% 9.04/9.38 'class_RealVector_Oreal__normed__div__algebra' [164, 1] (w:1, o:135
% 9.04/9.38 , a:1, s:1, b:0),
% 9.04/9.38 'class_OrderedGroup_Omonoid__add' [165, 1] (w:1, o:109, a:1, s:1, b:0
% 9.04/9.38 ),
% 9.04/9.38 'c_Polynomial_Osynthetic__div' [166, 3] (w:1, o:183, a:1, s:1, b:0),
% 9.04/9.38
% 9.04/9.38 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [167, 1]
% 9.04/9.38 (w:1, o:110, a:1, s:1, b:0),
% 9.04/9.38 'v_r____' [168, 0] (w:1, o:46, a:1, s:1, b:0),
% 9.04/9.38 'v_z____' [169, 0] (w:1, o:47, a:1, s:1, b:0),
% 9.04/9.38 'class_OrderedGroup_Opordered__ab__semigroup__add' [170, 1] (w:1, o:
% 9.04/9.38 111, a:1, s:1, b:0),
% 9.04/9.38 'class_Orderings_Obot' [171, 1] (w:1, o:112, a:1, s:1, b:0),
% 9.04/9.38 'v_cs____' [172, 0] (w:1, o:48, a:1, s:1, b:0),
% 9.04/9.38 'v_sko__local__XpCons__1__1' [173, 3] (w:1, o:184, a:1, s:1, b:0),
% 9.04/9.38 'v_sko__local__XpCons__Xhyps__1' [174, 3] (w:1, o:185, a:1, s:1, b:0)
% 9.04/9.38 ,
% 9.04/9.38
% 9.04/9.38 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1'
% 9.04/9.38 [175, 2] (w:1, o:168, a:1, s:1, b:0),
% 9.04/9.38 'v_da____' [176, 0] (w:1, o:50, a:1, s:1, b:0),
% 9.04/9.38 'v_aa____' [177, 0] (w:1, o:51, a:1, s:1, b:0),
% 9.04/9.38 'v_c____' [178, 0] (w:1, o:49, a:1, s:1, b:0),
% 9.04/9.38 'class_OrderedGroup_Ocancel__comm__monoid__add' [182, 1] (w:1, o:113
% 9.04/9.38 , a:1, s:1, b:0),
% 9.04/9.38 'class_Ring__and__Field_Ocomm__ring__1' [183, 1] (w:1, o:60, a:1, s:1
% 9.04/9.38 , b:0),
% 9.04/9.38 'class_Ring__and__Field_Ocomm__ring' [184, 1] (w:1, o:61, a:1, s:1
% 9.04/9.38 , b:0),
% 9.04/9.38 'tc_nat' [185, 0] (w:1, o:54, a:1, s:1, b:0).
% 9.04/9.38
% 9.04/9.38
% 9.04/9.38 Starting Search:
% 9.04/9.38
% 9.04/9.38 Resimplifying inuse:
% 9.04/9.38 Done
% 9.04/9.38
% 9.04/9.38
% 9.04/9.38 Intermediate Status:
% 9.04/9.38 Generated: 4315
% 9.04/9.38 Kept: 2006
% 9.04/9.38 Inuse: 148
% 9.04/9.38 Deleted: 3
% 9.04/9.38 Deletedinuse: 0
% 9.04/9.38
% 9.04/9.38 Resimplifying inuse:
% 9.04/9.38 Done
% 9.04/9.38
% 9.04/9.38 Resimplifying inuse:
% 9.04/9.38 Done
% 9.04/9.38
% 9.04/9.38
% 9.04/9.38 Intermediate Status:
% 9.04/9.38 Generated: 8517
% 9.04/9.38 Kept: 4016
% 9.04/9.38 Inuse: 208
% 9.04/9.38 Deleted: 3
% 9.04/9.38 Deletedinuse: 0
% 9.04/9.38
% 9.04/9.38 Resimplifying inuse:
% 9.04/9.38 Done
% 9.04/9.38
% 9.04/9.38 Resimplifying inuse:
% 9.04/9.38 Done
% 9.04/9.38
% 9.04/9.38
% 9.04/9.38 Intermediate Status:
% 9.04/9.38 Generated: 14092
% 9.04/9.38 Kept: 6021
% 9.04/9.38 Inuse: 281
% 9.04/9.38 Deleted: 3
% 9.04/9.38 Deletedinuse: 0
% 9.04/9.38
% 9.04/9.38 Resimplifying inuse:
% 9.04/9.38 Done
% 9.04/9.38
% 9.04/9.38 Resimplifying inuse:
% 9.04/9.38 Done
% 9.04/9.38
% 9.04/9.38
% 9.04/9.38 Intermediate Status:
% 9.04/9.38 Generated: 23715
% 9.04/9.38 Kept: 8514
% 9.04/9.38 Inuse: 323
% 9.04/9.38 Deleted: 3
% 9.04/9.38 Deletedinuse: 0
% 9.04/9.38
% 9.04/9.38 Resimplifying inuse:
% 9.04/9.38 Done
% 9.04/9.38
% 9.04/9.38 Resimplifying inuse:
% 9.04/9.38 Done
% 9.04/9.38
% 9.04/9.38
% 9.04/9.38 Intermediate Status:
% 9.04/9.38 Generated: 29740
% 9.04/9.38 Kept: 10621
% 9.04/9.38 Inuse: 343
% 33.37/33.75 Deleted: 3
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 36243
% 33.37/33.75 Kept: 12726
% 33.37/33.75 Inuse: 408
% 33.37/33.75 Deleted: 3
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 42320
% 33.37/33.75 Kept: 15152
% 33.37/33.75 Inuse: 452
% 33.37/33.75 Deleted: 4
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 48459
% 33.37/33.75 Kept: 17162
% 33.37/33.75 Inuse: 507
% 33.37/33.75 Deleted: 7
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 55114
% 33.37/33.75 Kept: 19175
% 33.37/33.75 Inuse: 551
% 33.37/33.75 Deleted: 7
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying clauses:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 63747
% 33.37/33.75 Kept: 21180
% 33.37/33.75 Inuse: 573
% 33.37/33.75 Deleted: 182
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 73128
% 33.37/33.75 Kept: 23195
% 33.37/33.75 Inuse: 582
% 33.37/33.75 Deleted: 182
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 83166
% 33.37/33.75 Kept: 25909
% 33.37/33.75 Inuse: 594
% 33.37/33.75 Deleted: 182
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 97406
% 33.37/33.75 Kept: 28671
% 33.37/33.75 Inuse: 639
% 33.37/33.75 Deleted: 182
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 103101
% 33.37/33.75 Kept: 30865
% 33.37/33.75 Inuse: 664
% 33.37/33.75 Deleted: 182
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 107519
% 33.37/33.75 Kept: 32909
% 33.37/33.75 Inuse: 679
% 33.37/33.75 Deleted: 182
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 117171
% 33.37/33.75 Kept: 35124
% 33.37/33.75 Inuse: 724
% 33.37/33.75 Deleted: 182
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 125113
% 33.37/33.75 Kept: 37229
% 33.37/33.75 Inuse: 754
% 33.37/33.75 Deleted: 182
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 131105
% 33.37/33.75 Kept: 39820
% 33.37/33.75 Inuse: 769
% 33.37/33.75 Deleted: 182
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying clauses:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 139822
% 33.37/33.75 Kept: 41820
% 33.37/33.75 Inuse: 801
% 33.37/33.75 Deleted: 310
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 147897
% 33.37/33.75 Kept: 43926
% 33.37/33.75 Inuse: 839
% 33.37/33.75 Deleted: 310
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 159547
% 33.37/33.75 Kept: 45942
% 33.37/33.75 Inuse: 899
% 33.37/33.75 Deleted: 310
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 171232
% 33.37/33.75 Kept: 47953
% 33.37/33.75 Inuse: 958
% 33.37/33.75 Deleted: 310
% 33.37/33.75 Deletedinuse: 0
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 184022
% 33.37/33.75 Kept: 51698
% 33.37/33.75 Inuse: 1003
% 33.37/33.75 Deleted: 314
% 33.37/33.75 Deletedinuse: 3
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 192094
% 33.37/33.75 Kept: 53735
% 33.37/33.75 Inuse: 1030
% 33.37/33.75 Deleted: 314
% 33.37/33.75 Deletedinuse: 3
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 206585
% 33.37/33.75 Kept: 55909
% 33.37/33.75 Inuse: 1073
% 33.37/33.75 Deleted: 314
% 33.37/33.75 Deletedinuse: 3
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 221152
% 33.37/33.75 Kept: 58788
% 33.37/33.75 Inuse: 1120
% 33.37/33.75 Deleted: 317
% 33.37/33.75 Deletedinuse: 3
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 232949
% 33.37/33.75 Kept: 60800
% 33.37/33.75 Inuse: 1135
% 33.37/33.75 Deleted: 342
% 33.37/33.75 Deletedinuse: 3
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying clauses:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 248835
% 33.37/33.75 Kept: 62808
% 33.37/33.75 Inuse: 1166
% 33.37/33.75 Deleted: 1026
% 33.37/33.75 Deletedinuse: 4
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75
% 33.37/33.75 Intermediate Status:
% 33.37/33.75 Generated: 268910
% 33.37/33.75 Kept: 65925
% 33.37/33.75 Inuse: 1174
% 33.37/33.75 Deleted: 1026
% 33.37/33.75 Deletedinuse: 4
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 33.37/33.75 Done
% 33.37/33.75
% 33.37/33.75 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 283099
% 136.01/136.41 Kept: 68040
% 136.01/136.41 Inuse: 1189
% 136.01/136.41 Deleted: 1026
% 136.01/136.41 Deletedinuse: 4
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 297855
% 136.01/136.41 Kept: 70049
% 136.01/136.41 Inuse: 1228
% 136.01/136.41 Deleted: 1026
% 136.01/136.41 Deletedinuse: 4
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 314482
% 136.01/136.41 Kept: 72049
% 136.01/136.41 Inuse: 1277
% 136.01/136.41 Deleted: 1029
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 327565
% 136.01/136.41 Kept: 74275
% 136.01/136.41 Inuse: 1314
% 136.01/136.41 Deleted: 1029
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 341327
% 136.01/136.41 Kept: 78258
% 136.01/136.41 Inuse: 1317
% 136.01/136.41 Deleted: 1029
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 350225
% 136.01/136.41 Kept: 81982
% 136.01/136.41 Inuse: 1319
% 136.01/136.41 Deleted: 1029
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying clauses:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 360876
% 136.01/136.41 Kept: 83998
% 136.01/136.41 Inuse: 1342
% 136.01/136.41 Deleted: 1360
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 367452
% 136.01/136.41 Kept: 86112
% 136.01/136.41 Inuse: 1364
% 136.01/136.41 Deleted: 1360
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 376101
% 136.01/136.41 Kept: 88137
% 136.01/136.41 Inuse: 1390
% 136.01/136.41 Deleted: 1360
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 386559
% 136.01/136.41 Kept: 90155
% 136.01/136.41 Inuse: 1434
% 136.01/136.41 Deleted: 1360
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 405712
% 136.01/136.41 Kept: 97226
% 136.01/136.41 Inuse: 1469
% 136.01/136.41 Deleted: 1360
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 417178
% 136.01/136.41 Kept: 100434
% 136.01/136.41 Inuse: 1474
% 136.01/136.41 Deleted: 1360
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 431823
% 136.01/136.41 Kept: 103320
% 136.01/136.41 Inuse: 1484
% 136.01/136.41 Deleted: 1360
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying clauses:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 440778
% 136.01/136.41 Kept: 105322
% 136.01/136.41 Inuse: 1520
% 136.01/136.41 Deleted: 1603
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 456332
% 136.01/136.41 Kept: 108598
% 136.01/136.41 Inuse: 1554
% 136.01/136.41 Deleted: 1603
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 471837
% 136.01/136.41 Kept: 111409
% 136.01/136.41 Inuse: 1564
% 136.01/136.41 Deleted: 1603
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 484020
% 136.01/136.41 Kept: 113643
% 136.01/136.41 Inuse: 1584
% 136.01/136.41 Deleted: 1603
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.41 Generated: 494587
% 136.01/136.41 Kept: 115731
% 136.01/136.41 Inuse: 1599
% 136.01/136.41 Deleted: 1603
% 136.01/136.41 Deletedinuse: 7
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41 Resimplifying inuse:
% 136.01/136.41 Done
% 136.01/136.41
% 136.01/136.41
% 136.01/136.41 Intermediate Status:
% 136.01/136.42 Generated: 503800
% 136.01/136.42 Kept: 117745
% 136.01/136.42 Inuse: 1633
% 136.01/136.42 Deleted: 1603
% 136.01/136.42 Deletedinuse: 7
% 136.01/136.42
% 136.01/136.42 Resimplifying inuse:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42 Resimplifying inuse:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42
% 136.01/136.42 Intermediate Status:
% 136.01/136.42 Generated: 511173
% 136.01/136.42 Kept: 119748
% 136.01/136.42 Inuse: 1650
% 136.01/136.42 Deleted: 1603
% 136.01/136.42 Deletedinuse: 7
% 136.01/136.42
% 136.01/136.42 Resimplifying inuse:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42
% 136.01/136.42 Intermediate Status:
% 136.01/136.42 Generated: 522082
% 136.01/136.42 Kept: 121810
% 136.01/136.42 Inuse: 1689
% 136.01/136.42 Deleted: 1603
% 136.01/136.42 Deletedinuse: 7
% 136.01/136.42
% 136.01/136.42 Resimplifying inuse:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42
% 136.01/136.42 Intermediate Status:
% 136.01/136.42 Generated: 547173
% 136.01/136.42 Kept: 125411
% 136.01/136.42 Inuse: 1709
% 136.01/136.42 Deleted: 1603
% 136.01/136.42 Deletedinuse: 7
% 136.01/136.42
% 136.01/136.42 Resimplifying inuse:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42 Resimplifying clauses:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42 Resimplifying inuse:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42
% 136.01/136.42 Intermediate Status:
% 136.01/136.42 Generated: 558997
% 136.01/136.42 Kept: 127510
% 136.01/136.42 Inuse: 1724
% 136.01/136.42 Deleted: 2004
% 136.01/136.42 Deletedinuse: 7
% 136.01/136.42
% 136.01/136.42 Resimplifying inuse:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42
% 136.01/136.42 Intermediate Status:
% 136.01/136.42 Generated: 577613
% 136.01/136.42 Kept: 130704
% 136.01/136.42 Inuse: 1739
% 136.01/136.42 Deleted: 2004
% 136.01/136.42 Deletedinuse: 7
% 136.01/136.42
% 136.01/136.42 Resimplifying inuse:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42 Resimplifying inuse:
% 136.01/136.42 Done
% 136.01/136.42
% 136.01/136.42
% 136.01/136.42 Intermediate Status:
% 136.01/136.42 Generated: 587440
% 136.01/136.42 Kept: 132780
% 294.74/295.16 Inuse: 1749
% 294.74/295.16 Deleted: 2004
% 294.74/295.16 Deletedinuse: 7
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 595155
% 294.74/295.16 Kept: 134803
% 294.74/295.16 Inuse: 1772
% 294.74/295.16 Deleted: 2004
% 294.74/295.16 Deletedinuse: 7
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 603373
% 294.74/295.16 Kept: 139708
% 294.74/295.16 Inuse: 1774
% 294.74/295.16 Deleted: 2004
% 294.74/295.16 Deletedinuse: 7
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 613645
% 294.74/295.16 Kept: 141949
% 294.74/295.16 Inuse: 1808
% 294.74/295.16 Deleted: 2005
% 294.74/295.16 Deletedinuse: 7
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 622524
% 294.74/295.16 Kept: 144119
% 294.74/295.16 Inuse: 1838
% 294.74/295.16 Deleted: 2007
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying clauses:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 632211
% 294.74/295.16 Kept: 146308
% 294.74/295.16 Inuse: 1868
% 294.74/295.16 Deleted: 2267
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 643866
% 294.74/295.16 Kept: 148464
% 294.74/295.16 Inuse: 1878
% 294.74/295.16 Deleted: 2267
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 652628
% 294.74/295.16 Kept: 151295
% 294.74/295.16 Inuse: 1883
% 294.74/295.16 Deleted: 2267
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 663838
% 294.74/295.16 Kept: 153493
% 294.74/295.16 Inuse: 1918
% 294.74/295.16 Deleted: 2267
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 676411
% 294.74/295.16 Kept: 156643
% 294.74/295.16 Inuse: 1933
% 294.74/295.16 Deleted: 2267
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 711517
% 294.74/295.16 Kept: 160037
% 294.74/295.16 Inuse: 1948
% 294.74/295.16 Deleted: 2267
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 743821
% 294.74/295.16 Kept: 162721
% 294.74/295.16 Inuse: 1953
% 294.74/295.16 Deleted: 2267
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 751912
% 294.74/295.16 Kept: 164912
% 294.74/295.16 Inuse: 1973
% 294.74/295.16 Deleted: 2267
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying clauses:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 758734
% 294.74/295.16 Kept: 167358
% 294.74/295.16 Inuse: 1988
% 294.74/295.16 Deleted: 2481
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 773587
% 294.74/295.16 Kept: 171867
% 294.74/295.16 Inuse: 2003
% 294.74/295.16 Deleted: 2481
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 782679
% 294.74/295.16 Kept: 173882
% 294.74/295.16 Inuse: 2009
% 294.74/295.16 Deleted: 2481
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 791260
% 294.74/295.16 Kept: 175996
% 294.74/295.16 Inuse: 2013
% 294.74/295.16 Deleted: 2481
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 847841
% 294.74/295.16 Kept: 181709
% 294.74/295.16 Inuse: 2038
% 294.74/295.16 Deleted: 2481
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 864945
% 294.74/295.16 Kept: 183791
% 294.74/295.16 Inuse: 2078
% 294.74/295.16 Deleted: 2481
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 877863
% 294.74/295.16 Kept: 186203
% 294.74/295.16 Inuse: 2103
% 294.74/295.16 Deleted: 2481
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying clauses:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 890911
% 294.74/295.16 Kept: 188428
% 294.74/295.16 Inuse: 2123
% 294.74/295.16 Deleted: 3559
% 294.74/295.16 Deletedinuse: 9
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 903939
% 294.74/295.16 Kept: 190476
% 294.74/295.16 Inuse: 2152
% 294.74/295.16 Deleted: 3569
% 294.74/295.16 Deletedinuse: 13
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 917272
% 294.74/295.16 Kept: 194148
% 294.74/295.16 Inuse: 2156
% 294.74/295.16 Deleted: 3569
% 294.74/295.16 Deletedinuse: 13
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 936364
% 294.74/295.16 Kept: 197559
% 294.74/295.16 Inuse: 2158
% 294.74/295.16 Deleted: 3569
% 294.74/295.16 Deletedinuse: 13
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 958170
% 294.74/295.16 Kept: 205347
% 294.74/295.16 Inuse: 2192
% 294.74/295.16 Deleted: 3569
% 294.74/295.16 Deletedinuse: 13
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying inuse:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16 Resimplifying clauses:
% 294.74/295.16 Done
% 294.74/295.16
% 294.74/295.16
% 294.74/295.16 Intermediate Status:
% 294.74/295.16 Generated: 967773
% 294.74/295.16 Kept: 20737Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------