TSTP Solution File: ALG337-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG337-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 12:10:22 EDT 2022
% Result : Timeout 300.07s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG337-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 8 03:07:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.14/1.50 *** allocated 10000 integers for termspace/termends
% 1.14/1.50 *** allocated 10000 integers for clauses
% 1.14/1.50 *** allocated 10000 integers for justifications
% 1.14/1.50 *** allocated 15000 integers for termspace/termends
% 1.14/1.50 *** allocated 22500 integers for termspace/termends
% 1.14/1.50 *** allocated 33750 integers for termspace/termends
% 1.14/1.50 Bliksem 1.12
% 1.14/1.50
% 1.14/1.50
% 1.14/1.50 Automatic Strategy Selection
% 1.14/1.50
% 1.14/1.50 Clauses:
% 1.14/1.50 [
% 1.14/1.50 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.50 ],
% 1.14/1.50 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.14/1.50 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.50 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.14/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.14/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.14/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.14/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.14/1.50 ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.14/1.50 ), =( Z, Y ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.14/1.50 ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.14/1.50 ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.50 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.14/1.50 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.14/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.50 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.14/1.50 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.14/1.50 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.50 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.14/1.50 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.14/1.50 , Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.14/1.50 , X ) ) ), =( Y, Z ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.14/1.50 , X ) ) ), =( Y, Z ) ],
% 1.14/1.50 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.14/1.50 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.50 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.14/1.50 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.50 ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.14/1.50 ],
% 1.14/1.50 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.14/1.50 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.14/1.50 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.14/1.50 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.14/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.50 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.50 ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.14/1.50 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.14/1.50 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.50 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 1.14/1.50 'tc_RealDef_Oreal' ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.14/1.50 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.50 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.14/1.50 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 Z, Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.14/1.50 , X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.14/1.50 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.50 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.14/1.50 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.14/1.50 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.14/1.50 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.14/1.50 ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.50 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.14/1.50 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.50 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'(
% 1.14/1.50 'c_Transcendental_Otan'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.50 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.50 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.50 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ), =(
% 1.14/1.50 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.14/1.50 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.14/1.50 ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.50 Z, T, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.14/1.50 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.50 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.50 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.50 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.14/1.50 ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.50 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.14/1.50 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.14/1.50 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.50 ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.14/1.50 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.14/1.50 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.14/1.50 X ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.50 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.50 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.50 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.14/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.50 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.14/1.50 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.50 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.50 ), X ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.50 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.50 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.14/1.50 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.50 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.50 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.50 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.50 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.50 ), X ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.50 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.14/1.50 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.14/1.50 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.50 , X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.50 , X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.50 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.50 , X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.14/1.50 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.50 , X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.14/1.50 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.50 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.14/1.50 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.50 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.14/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.50 ) ],
% 1.14/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.14/1.50 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.50 ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.50 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.14/1.50 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.14/1.50 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.50 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.50 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.14/1.50 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.50 , X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.14/1.50 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.14/1.50 , Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.14/1.50 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.14/1.50 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.14/1.50 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.14/1.50 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.50 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.14/1.50 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.14/1.50 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.50 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.50 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.50 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.50 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.50 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.14/1.50 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.50 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.50 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.50 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.14/1.50 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.14/1.50 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.14/1.50 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.50 ) ],
% 1.14/1.50 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.14/1.50 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.14/1.50 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.14/1.50 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.14/1.50 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.14/1.50 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.14/1.50 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.14/1.50 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.14/1.50 ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.14/1.50 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.50 Y, X ), Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.50 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.50 Y, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.50 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.50 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.50 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.14/1.50 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.14/1.50 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.50 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.50 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.14/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.50 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.14/1.50 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.14/1.50 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.14/1.50 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.50 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.14/1.50 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.14/1.50 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.50 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.50 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.50 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.50 , X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.14/1.50 , X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.50 , X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.14/1.50 , X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 X ) ) ],
% 1.14/1.50 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X )
% 1.14/1.50 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.50 'tc_RealDef_Oreal' ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.14/1.50 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.14/1.50 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.14/1.50 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.14/1.50 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.14/1.50 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.14/1.50 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.14/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.14/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.50 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.50 ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.50 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.50 ) ],
% 1.14/1.50 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.14/1.50 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.50 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.50 ) ],
% 1.14/1.50 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.50 , T, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.50 , Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.50 , T, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.14/1.50 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.50 , Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.14/1.50 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.14/1.50 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.50 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.14/1.50 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.14/1.50 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.14/1.50 ,
% 1.14/1.50 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.14/1.50 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.50 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.50 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.50 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.14/1.50 ) ],
% 1.14/1.50 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.14/1.50 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.50 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.50 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.50 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.50 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.50 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.14/1.50 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.14/1.50 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.14/1.50 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.50 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.14/1.50 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.50 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.50 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.14/1.50 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.50 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.50 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.50 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.14/1.50 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.50 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.14/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.14/1.50 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.50 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.14/1.50 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.14/1.50 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.50 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.50 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.50 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.14/1.50 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.50 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.14/1.51 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.14/1.51 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.14/1.51 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.14/1.51 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 1.14/1.51 =( Y, Z ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.14/1.51 , X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.14/1.51 , X ), Z, X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.14/1.51 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.51 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.14/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.14/1.51 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.14/1.51 ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.14/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.14/1.51 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.14/1.51 ), X ), Y ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.14/1.51 , 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.14/1.51 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.51 'tc_Int_Oint' ), Z, 'tc_Int_Oint' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Int_Oint' ), 'tc_Int_Oint' ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.14/1.51 'tc_Int_Oint' ), 'tc_Int_Oint' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_Int_Oint' ), 'tc_Int_Oint' ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.14/1.51 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.51 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.14/1.51 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.14/1.51 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.51 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.14/1.51 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.14/1.51 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.51 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.51 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.14/1.51 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.14/1.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.14/1.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.14/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.14/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.14/1.51 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.14/1.51 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.14/1.51 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.14/1.51 'c_RealVector_Oof__real'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.14/1.51 'tc_RealDef_Oreal' ), X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_RealVector_Oof__real'( Y, X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.14/1.51 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.14/1.51 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.14/1.51 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.14/1.51 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.14/1.51 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.51 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.14/1.51 , X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.14/1.51 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.14/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.14/1.51 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 1.14/1.51 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Y, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Y, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.51 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.14/1.51 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.51 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.14/1.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.51 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.14/1.51 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.14/1.51 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.14/1.51 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Osin'( X )
% 1.14/1.51 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.51 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.51 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.51 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.14/1.51 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.14/1.51 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.14/1.51 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.14/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.14/1.51 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ) ) ],
% 1.14/1.51 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.14/1.51 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.51 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.14/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.14/1.51 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'( X ), X,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( 'c_NthRoot_Osqrt'(
% 1.14/1.51 X ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.51 X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.51 , T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.14/1.51 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.14/1.51 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.14/1.51 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.14/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.14/1.51 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.14/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.14/1.51 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.14/1.51 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.14/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.14/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.14/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.14/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.14/1.51 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.14/1.51 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.14/1.51 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 1.14/1.51 , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.51 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.51 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =(
% 1.14/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.14/1.51 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.14/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.14/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.14/1.51 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.14/1.51 ), Y ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.14/1.51 ), Y ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.14/1.51 ), Y ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.14/1.51 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.14/1.51 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.14/1.51 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.51 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.51 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_Transcendental_Ocos'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_Transcendental_Osin'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_Transcendental_Osin'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_Transcendental_Ocos'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.51 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.51 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_Power_Opower__class_Opower'( 'c_Transcendental_Osin'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_Transcendental_Ocos'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.51 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.14/1.51 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.14/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.14/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 1.14/1.51 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.14/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.51 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_Int_Oint' ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_Int_Oint' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.14/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.14/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.14/1.51 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.14/1.51 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Z, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.14/1.51 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_lessequals'( Z, Y, X ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.51 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.14/1.51 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.14/1.51 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.14/1.51 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.51 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.51 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.51 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.14/1.51 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.14/1.51 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.51 Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.51 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.14/1.51 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.14/1.51 , Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.14/1.51 , Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.51 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.14/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.14/1.51 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.51 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.14/1.51 ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.14/1.51 ) ],
% 1.14/1.51 [ =( 'c_Power_Opower__class_Opower'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_Transcendental_Osin'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.51 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Oarctan'( X ),
% 1.14/1.51 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_Transcendental_Oarctan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Osin'(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 1.14/1.51 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.51 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal'
% 1.14/1.51 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.51 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.51 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.14/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.14/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.14/1.51 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.14/1.51 Y, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.14/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.14/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.14/1.51 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.14/1.51 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.14/1.51 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.14/1.51 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.14/1.51 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.14/1.51 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.51 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.14/1.51 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.14/1.51 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.14/1.51 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 Y, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 Y, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.14/1.51 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.14/1.51 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.14/1.51 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.14/1.51 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.14/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.51 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.51 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.14/1.51 , X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.14/1.51 , X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.51 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.51 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.14/1.51 , Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.51 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.51 , Y, X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.14/1.51 , Z, X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.14/1.51 , Z, X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.51 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.51 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.51 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.14/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.14/1.51 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.14/1.51 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Z, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Z, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.14/1.51 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.14/1.51 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.14/1.51 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.14/1.51 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.14/1.51 X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.14/1.51 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.51 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.14/1.51 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.14/1.51 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.51 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.51 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.14/1.51 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.51 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.14/1.51 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.14/1.51 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.14/1.51 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.51 'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.14/1.51 X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.14/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.14/1.51 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.51 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.14/1.51 ), Y, X ) ), =( Z, T ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.14/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.14/1.51 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.14/1.51 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.51 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.51 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.51 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.14/1.51 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.14/1.51 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.14/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.14/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.51 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.14/1.51 , X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.14/1.51 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.14/1.51 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.14/1.51 ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.14/1.51 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.14/1.51 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.51 ,
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.14/1.51 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.14/1.51 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.14/1.51 , T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.14/1.51 , T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.14/1.51 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.51 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.51 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.51 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.51 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.51 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 Y, X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.14/1.51 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.14/1.51 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.14/1.51 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.14/1.51 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.14/1.51 'c_lessequals'( Z, Y, X ) ],
% 1.14/1.51 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.14/1.51 'tc_RealDef_Oreal' ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.14/1.51 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.14/1.51 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.51 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.51 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.51 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.51 ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.51 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.51 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.14/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.51 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.14/1.51 ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.51 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.14/1.51 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.14/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.51 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.14/1.51 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.14/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.51 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.14/1.51 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.51 ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.51 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.51 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.51 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.51 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.51 , X ), X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.14/1.51 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.14/1.51 Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , T, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , T, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.14/1.51 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.14/1.51 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.14/1.51 ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.14/1.51 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , Z, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.14/1.51 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.51 , Z, X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.51 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.14/1.51 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.14/1.51 , Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 Y, T, X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.51 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.51 Y, T, X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.14/1.51 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.14/1.51 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.14/1.51 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), T, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.51 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.51 X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.14/1.51 X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.14/1.51 Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.14/1.51 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.14/1.51 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.51 Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.14/1.51 X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.14/1.51 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.51 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.14/1.51 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.14/1.51 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.14/1.51 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.14/1.51 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.51 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.14/1.51 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.51 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.51 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.14/1.51 , Y, X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.14/1.51 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.51 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.51 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.51 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.51 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.51 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.14/1.51 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.14/1.52 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.14/1.52 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.52 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.14/1.52 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.14/1.52 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.52 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.52 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.14/1.52 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.14/1.52 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.14/1.52 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.14/1.52 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 1.14/1.52 ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_OPls', X, 'tc_Int_Oint' ), X ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Int_OPls', 'tc_Int_Oint' ), X ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.52 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_Power_Opower__class_Opower'( Y
% 1.14/1.52 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.14/1.52 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.14/1.52 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.14/1.52 X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.14/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.14/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.14/1.52 ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.52 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.52 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.52 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.52 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.14/1.52 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.14/1.52 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.14/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.14/1.52 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.14/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.52 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.52 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.52 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.52 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.52 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.52 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.52 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.52 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), T, X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , T, X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , T, X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.14/1.52 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.14/1.52 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.52 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.14/1.52 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.14/1.52 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.14/1.52 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.14/1.52 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.52 ), X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 1.14/1.52 , X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.14/1.52 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.14/1.52 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 X, 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_Transcendental_Ocos'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_Transcendental_Osin'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( T,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.52 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.14/1.52 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.14/1.52 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.14/1.52 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.52 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.14/1.52 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.14/1.52 ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.14/1.52 ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( =( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ), Y ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( T, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), Z, 'tc_RealDef_Oreal' ),
% 1.14/1.52 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( X,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.52 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.14/1.52 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.14/1.52 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.14/1.52 'tc_Int_Oint' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), T, X ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Int_Oint' ), X ), T, X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.14/1.52 'tc_Int_Oint' ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.14/1.52 ) ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit1'( Y ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), 'c_Int_Oiszero'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.14/1.52 , X ), 'c_Int_Onumber__class_Onumber__of'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.14/1.52 , 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.14/1.52 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 Y ), X ), X ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.14/1.52 , X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.14/1.52 ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.14/1.52 ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y
% 1.14/1.52 ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.52 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.52 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.14/1.52 , X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.14/1.52 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.14/1.52 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.52 Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.52 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.52 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.14/1.52 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.14/1.52 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.52 Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.14/1.52 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.14/1.52 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.14/1.52 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.52 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.14/1.52 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.52 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.14/1.52 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.14/1.52 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.52 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y )
% 1.14/1.52 , 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_Int_Oint' ) ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y )
% 1.14/1.52 , 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_Int_Oint' ) ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.14/1.52 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.52 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.14/1.52 ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.14/1.52 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.14/1.52 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.14/1.52 ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_RealDef_Oreal' ), X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.52 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.52 ) ), =( Y, Z ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.52 ) ), =( Y, Z ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.52 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.14/1.52 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 Z, Y, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.14/1.52 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y )
% 1.14/1.52 , 'tc_Int_Oint' ), 'c_Int_OBit0'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_Int_Oint' ) ) ) ],
% 1.14/1.52 [ =( 'c_Int_OBit0'( X ), 'c_HOL_Oplus__class_Oplus'( X, X, 'tc_Int_Oint'
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_RealVector_Onorm__class_Onorm'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.14/1.52 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.52 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.52 Y, X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.52 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.14/1.52 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.14/1.52 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.14/1.52 Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.14/1.52 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 Y, Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.14/1.52 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.52 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.14/1.52 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.14/1.52 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.14/1.52 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.14/1.52 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.14/1.52 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.14/1.52 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.14/1.52 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.14/1.52 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Oarctan'( 'c_Transcendental_Otan'( X ) ), X ),
% 1.14/1.52 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), X ), ~(
% 1.14/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), X ) ), 'c_lessequals'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.52 ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ), X ), ~(
% 1.14/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.14/1.52 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.14/1.52 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Ocos'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.14/1.52 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ), =( Z,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.14/1.52 'c_RealVector_Oof__real'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.14/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.14/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.14/1.52 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.14/1.52 , X ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.14/1.52 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.52 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.14/1.52 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.52 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.14/1.52 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 1.14/1.52 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.14/1.52 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.14/1.52 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.52 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.14/1.52 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.14/1.52 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.52 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.14/1.52 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 X ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.14/1.52 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.14/1.52 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.14/1.52 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.14/1.52 , 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.14/1.52 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_Transcendental_Otan'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.14/1.52 ), =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_Transcendental_Osin'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( Y ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'( Y ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.14/1.52 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.14/1.52 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.14/1.52 ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( X, 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.52 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, 'c_Transcendental_Ocos'( Y ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.14/1.52 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal'
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.14/1.52 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.14/1.52 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.14/1.52 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'(
% 1.14/1.52 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.14/1.52 ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.14/1.52 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.14/1.52 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 1.14/1.52 ],
% 1.14/1.52 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'v_y____', 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) )
% 1.14/1.52 ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), Z, 'tc_RealDef_Oreal' ),
% 1.14/1.52 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.52 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.14/1.52 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.14/1.52 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.14/1.52 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.14/1.52 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.14/1.52 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.14/1.52 ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.14/1.52 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.14/1.52 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.14/1.52 , X ), X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.14/1.52 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_RealVector_Oreal__field'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_Oof__real'( Y, X ),
% 1.14/1.52 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_Transcendental_Otan'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Oarctan'( X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.14/1.52 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.14/1.52 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.14/1.52 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.14/1.52 'c_RealVector_Oof__real'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.14/1.52 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.14/1.52 ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.14/1.52 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.14/1.52 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ) ) ) ) ) ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.14/1.52 X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.14/1.52 ) ],
% 1.14/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Power_Opower__class_Opower'( X
% 1.14/1.52 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 1.14/1.52 ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.14/1.52 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.14/1.52 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.14/1.52 , X ), T, X ), W, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.14/1.52 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.14/1.52 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.14/1.52 , X ), W, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.14/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.14/1.52 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.14/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.14/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.14/1.52 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.14/1.52 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.14/1.52 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.14/1.52 W, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.14/1.52 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.14/1.52 , X ), T, X ), W, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.14/1.52 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.14/1.52 W, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.14/1.52 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.14/1.52 , X ), W, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.14/1.52 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.52 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.14/1.52 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.14/1.52 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.14/1.52 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.14/1.52 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.52 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.14/1.52 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.14/1.52 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.14/1.52 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ), T, X ), X ),
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Int_Oint' ), X ), T, X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.14/1.52 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.14/1.52 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.14/1.52 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.52 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.14/1.52 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.14/1.52 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.14/1.52 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.52 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.14/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_Transcendental_Otan'( X ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_Transcendental_Ocos'( X ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_Transcendental_Osin'( X ) ) ],
% 1.14/1.52 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.14/1.52 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.14/1.52 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.14/1.52 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 1.14/1.52 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 1.14/1.52 , U, X ), X ), X ) ) ],
% 1.14/1.52 [ =( 'c_Power_Opower__class_Opower'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( T, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Power_Opower__class_Opower'( T, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.14/1.52 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X )
% 1.14/1.52 ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.14/1.52 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.14/1.52 ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), X ) ) ],
% 1.14/1.52 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'v_x____', 'v_x____', 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'v_y____', 'v_y____', 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), 'v_x____', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'v_x____', 'v_x____', 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'v_y____', 'v_y____', 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), 'v_x____', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_Power_Opower__class_Opower'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'v_x____', 'v_x____', 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'v_y____', 'v_y____', 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), 'v_x____', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 'v_x____',
% 1.14/1.52 'v_x____', 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'v_y____'
% 1.14/1.52 , 'v_y____', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'v_x____',
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.14/1.52 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.14/1.52 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.14/1.52 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.14/1.52 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.52 ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.52 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.14/1.52 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.52 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.14/1.52 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.14/1.52 X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.14/1.52 X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.14/1.52 X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.14/1.52 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.14/1.52 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.14/1.52 , X ), W, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.14/1.52 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.14/1.52 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.14/1.52 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.14/1.52 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.14/1.52 ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.14/1.52 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.14/1.52 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.14/1.52 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.14/1.52 ), Y ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.14/1.52 ), Y ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.14/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.14/1.52 X ) ) ), =( Y, T ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.14/1.52 X ) ) ), =( Z, T ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.14/1.52 X ) ) ), =( Z, T ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.52 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.14/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.14/1.52 X ), X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.14/1.52 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.14/1.52 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.14/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.52 X ), T, X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.14/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.14/1.52 T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.14/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.52 X ), T, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.14/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.14/1.52 T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.14/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.14/1.52 X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.14/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.14/1.52 T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.14/1.52 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.14/1.52 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.14/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.14/1.52 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.14/1.52 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.14/1.52 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.14/1.52 , X ), Y ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.14/1.52 , X ), Y ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.14/1.52 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.14/1.52 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , T, X ), X ) ) ],
% 1.14/1.52 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.52 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.14/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.14/1.52 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.14/1.52 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.14/1.52 ), Y ) ],
% 1.14/1.52 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.52 , Y, X ) ) ],
% 1.14/1.52 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.14/1.52 , Y, X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.14/1.52 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.14/1.52 , T, X ) ) ), =( Z, T ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.14/1.52 , T, X ) ) ), =( Y, Z ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.14/1.52 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.14/1.52 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.14/1.52 , T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.14/1.52 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.14/1.52 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.14/1.52 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.14/1.52 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.52 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.14/1.52 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.14/1.52 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.14/1.52 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.14/1.52 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.14/1.52 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.14/1.52 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.14/1.52 , U, X ), X ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.14/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.14/1.52 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 Y, T, X ), Z, X ) ) ],
% 1.14/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.14/1.52 ), Y ) ],
% 1.14/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.14/1.52 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.14/1.52 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.14/1.52 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.14/1.52 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'v_x____', 'v_x____', 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'v_y____', 'v_y____', 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), 'v_x____', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 'v_x____',
% 1.14/1.52 'v_x____', 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'v_y____'
% 1.14/1.52 , 'v_y____', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'v_x____',
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 'v_x____',
% 1.14/1.52 'v_x____', 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'v_y____'
% 1.14/1.52 , 'v_y____', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'v_x____',
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.14/1.52 ) ) ],
% 1.14/1.52 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'v_x____', 'v_x____', 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'v_y____', 'v_y____', 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), 'v_x____', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'v_x____', 'v_x____', 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'v_y____', 'v_y____', 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), 'v_x____', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'v_x____', 'v_x____', 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'v_y____', 'v_y____', 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), 'v_x____', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.14/1.52 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.14/1.52 [ ~( =( 'c_HOL_Ominus__class_Ominus'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'v_x____', 'v_x____', 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'v_y____', 'v_y____', 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), 'v_x____', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.14/1.52 'c_HOL_Otimes__class_Otimes'( 'v_x____', 'v_x____', 'tc_RealDef_Oreal' )
% 1.14/1.52 , 'c_HOL_Otimes__class_Otimes'( 'v_y____', 'v_y____', 'tc_RealDef_Oreal'
% 1.14/1.52 ), 'tc_RealDef_Oreal' ) ), 'v_x____', 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.14/1.52 'c_HOL_Ominus__class_Ominus'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 'v_x____',
% 1.14/1.52 'v_x____', 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'v_y____'
% 1.14/1.52 , 'v_y____', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'v_x____',
% 1.14/1.52 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( 'c_NthRoot_Osqrt'(
% 1.14/1.52 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( 'v_x____',
% 1.14/1.52 'v_x____', 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( 'v_y____'
% 1.14/1.52 , 'v_y____', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'v_x____',
% 1.14/1.52 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.14/1.52 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.14/1.52 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'v_x____' ) ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.14/1.52 ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.14/1.52 ],
% 1.14/1.52 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.14/1.52 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.14/1.52 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.14/1.52 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.14/1.52 ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.14/1.52 ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.14/1.52 'tc_RealDef_Oreal' ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.14/1.52 ) ],
% 1.14/1.52 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.14/1.52 ],
% 1.14/1.52 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.14/1.52 ],
% 1.14/1.52 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.52 ,
% 1.14/1.52 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.53 ,
% 1.14/1.53 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.53 ,
% 1.14/1.53 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.53 ,
% 1.14/1.53 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.53 ,
% 1.14/1.53 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.53 ,
% 1.14/1.53 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.53 ,
% 1.14/1.53 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.53 ,
% 1.14/1.53 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_RealVector_Oreal__div__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.14/1.53 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ]
% 1.14/1.53 ] .
% 1.14/1.53
% 1.14/1.53
% 1.14/1.53 percentage equality = 0.212697, percentage horn = 0.873217
% 1.14/1.53 This is a problem with some equality
% 1.14/1.53
% 1.14/1.53
% 1.14/1.53
% 1.14/1.53 Options Used:
% 1.14/1.53
% 1.14/1.53 useres = 1
% 1.14/1.53 useparamod = 1
% 1.14/1.53 useeqrefl = 1
% 1.14/1.53 useeqfact = 1
% 1.14/1.53 usefactor = 1
% 1.14/1.53 usesimpsplitting = 0
% 1.14/1.53 usesimpdemod = 5
% 1.14/1.53 usesimpres = 3
% 1.14/1.53
% 1.14/1.53 resimpinuse = 1000
% 1.14/1.53 resimpclauses = 20000
% 1.14/1.53 substype = eqrewr
% 1.14/1.53 backwardsubs = 1
% 1.14/1.53 selectoldest = 5
% 1.14/1.53
% 1.14/1.53 litorderings [0] = split
% 1.14/1.53 litorderings [1] = extend the termordering, first sorting on arguments
% 1.14/1.53
% 1.14/1.53 termordering = kbo
% 1.14/1.53
% 1.14/1.53 litapriori = 0
% 1.14/1.53 termapriori = 1
% 1.14/1.53 litaposteriori = 0
% 1.14/1.53 termaposteriori = 0
% 1.14/1.53 demodaposteriori = 0
% 1.14/1.53 ordereqreflfact = 0
% 1.14/1.53
% 1.14/1.53 litselect = negord
% 1.14/1.53
% 1.14/1.53 maxweight = 15
% 1.14/1.53 maxdepth = 30000
% 1.14/1.53 maxlength = 115
% 1.14/1.53 maxnrvars = 195
% 1.14/1.53 excuselevel = 1
% 1.14/1.53 increasemaxweight = 1
% 1.14/1.53
% 1.14/1.53 maxselected = 10000000
% 1.14/1.53 maxnrclauses = 10000000
% 1.14/1.53
% 1.14/1.53 showgenerated = 0
% 1.14/1.53 showkept = 0
% 1.14/1.53 showselected = 0
% 1.14/1.53 showdeleted = 0
% 1.14/1.53 showresimp = 1
% 1.14/1.53 showstatus = 2000
% 1.14/1.53
% 1.14/1.53 prologoutput = 1
% 1.14/1.53 nrgoals = 5000000
% 1.14/1.53 totalproof = 1
% 1.14/1.53
% 1.14/1.53 Symbols occurring in the translation:
% 1.14/1.53
% 1.14/1.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.14/1.53 . [1, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.14/1.53 ! [4, 1] (w:0, o:59, a:1, s:1, b:0),
% 1.14/1.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.14/1.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.14/1.53 'tc_RealDef_Oreal' [41, 0] (w:1, o:16, a:1, s:1, b:0),
% 1.14/1.53 'c_HOL_Ouminus__class_Ouminus' [42, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.14/1.53 'c_lessequals' [43, 3] (w:1, o:177, a:1, s:1, b:0),
% 1.14/1.53 'c_HOL_Oplus__class_Oplus' [44, 3] (w:1, o:179, a:1, s:1, b:0),
% 1.14/1.53 'c_HOL_Ozero__class_Ozero' [45, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.14/1.53 'class_Ring__and__Field_Opordered__ring__abs' [47, 1] (w:1, o:77, a:1
% 1.14/1.53 , s:1, b:0),
% 1.14/1.53 'c_HOL_Otimes__class_Otimes' [50, 3] (w:1, o:180, a:1, s:1, b:0),
% 1.14/1.53 'c_HOL_Oabs__class_Oabs' [51, 2] (w:1, o:170, a:1, s:1, b:0),
% 1.14/1.53 'class_Ring__and__Field_Oidom' [52, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.14/1.53 'c_Ring__and__Field_Odvd__class_Odvd' [53, 3] (w:1, o:181, a:1, s:1
% 1.14/1.53 , b:0),
% 1.14/1.53 'class_Ring__and__Field_Ocomm__semiring__1' [54, 1] (w:1, o:81, a:1
% 1.14/1.53 , s:1, b:0),
% 1.14/1.53 'class_OrderedGroup_Opordered__ab__group__add__abs' [56, 1] (w:1, o:
% 1.14/1.53 83, a:1, s:1, b:0),
% 1.14/1.53 'c_Transcendental_Oarctan' [57, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.14/1.53 'class_Ring__and__Field_Oordered__idom' [58, 1] (w:1, o:70, a:1, s:1
% 1.14/1.53 , b:0),
% 1.14/1.53 'c_HOL_Oord__class_Oless' [59, 3] (w:1, o:178, a:1, s:1, b:0),
% 1.14/1.53 'class_Orderings_Olinorder' [60, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.14/1.53 'class_Orderings_Oorder' [61, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.14/1.53 'class_Ring__and__Field_Oordered__semidom' [64, 1] (w:1, o:72, a:1
% 1.14/1.53 , s:1, b:0),
% 1.14/1.53 'c_HOL_Oone__class_Oone' [65, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.14/1.53 'c_Power_Opower__class_Opower' [67, 3] (w:1, o:182, a:1, s:1, b:0),
% 1.14/1.53 'class_Lattices_Oboolean__algebra' [68, 1] (w:1, o:88, a:1, s:1, b:0)
% 1.14/1.53 ,
% 1.14/1.53 'class_OrderedGroup_Ogroup__add' [69, 1] (w:1, o:89, a:1, s:1, b:0),
% 1.14/1.53
% 1.14/1.53 'c_Transcendental_Ocos' [70, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.14/1.53 'c_Transcendental_Opi' [71, 0] (w:1, o:30, a:1, s:1, b:0),
% 1.14/1.53 'c_NthRoot_Osqrt' [72, 1] (w:1, o:91, a:1, s:1, b:0),
% 1.14/1.53 'class_OrderedGroup_Olordered__ab__group__add__abs' [73, 1] (w:1, o:
% 1.14/1.53 92, a:1, s:1, b:0),
% 1.14/1.53 'class_Ring__and__Field_Oordered__field' [74, 1] (w:1, o:73, a:1, s:1
% 1.14/1.53 , b:0),
% 1.14/1.53 'class_Ring__and__Field_Odivision__by__zero' [75, 1] (w:1, o:94, a:1
% 1.14/1.53 , s:1, b:0),
% 1.14/1.53 'c_HOL_Oinverse__class_Odivide' [76, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.14/1.53
% 1.14/1.53 'c_HOL_Oinverse__class_Oinverse' [77, 2] (w:1, o:171, a:1, s:1, b:0)
% 1.14/1.53 ,
% 1.14/1.53 'class_RealVector_Oreal__normed__vector' [78, 1] (w:1, o:95, a:1, s:1
% 1.14/1.53 , b:0),
% 1.14/1.53 'c_RealVector_Onorm__class_Onorm' [79, 2] (w:1, o:172, a:1, s:1, b:0)
% 1.14/1.53 ,
% 1.14/1.53 'class_RealVector_Oreal__normed__algebra__1' [80, 1] (w:1, o:96, a:1
% 1.14/1.53 , s:1, b:0),
% 1.14/1.53 'class_RealVector_Oreal__algebra__1' [81, 1] (w:1, o:97, a:1, s:1, b:
% 1.14/1.53 0),
% 1.14/1.53 'c_RealVector_Oof__real' [82, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.14/1.53 'class_OrderedGroup_Opordered__comm__monoid__add' [83, 1] (w:1, o:98
% 1.14/1.53 , a:1, s:1, b:0),
% 1.14/1.53 'class_OrderedGroup_Opordered__ab__group__add' [84, 1] (w:1, o:99, a:
% 1.14/1.53 1, s:1, b:0),
% 1.14/1.53 'class_RealVector_Oreal__div__algebra' [85, 1] (w:1, o:100, a:1, s:1
% 1.14/1.53 , b:0),
% 1.14/1.53 'c_RealVector_OscaleR__class_OscaleR' [86, 3] (w:1, o:184, a:1, s:1
% 1.14/1.53 , b:0),
% 1.14/1.53 'class_Ring__and__Field_Ozero__neq__one' [87, 1] (w:1, o:101, a:1, s:
% 1.14/1.53 1, b:0),
% 1.14/1.53 'c_Transcendental_Otan' [88, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.14/1.53 'c_Int_OPls' [89, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.14/1.53 'c_Int_OBit1' [90, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.14/1.53 'c_Int_OBit0' [91, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.14/1.53 'tc_nat' [92, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.14/1.53 'c_Int_Onumber__class_Onumber__of' [93, 2] (w:1, o:174, a:1, s:1, b:0
% 6.07/6.46 ),
% 6.07/6.46 'class_Ring__and__Field_Oordered__semiring__strict' [94, 1] (w:1, o:
% 6.07/6.46 74, a:1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Oordered__ring__strict' [95, 1] (w:1, o:71
% 6.07/6.46 , a:1, s:1, b:0),
% 6.07/6.46 'class_OrderedGroup_Olordered__ab__group__add' [96, 1] (w:1, o:106
% 6.07/6.46 , a:1, s:1, b:0),
% 6.07/6.46 'class_Int_Onumber' [97, 1] (w:1, o:107, a:1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Ono__zero__divisors' [98, 1] (w:1, o:69, a:1
% 6.07/6.46 , s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Omult__zero' [99, 1] (w:1, o:66, a:1, s:1, b:
% 6.07/6.46 0),
% 6.07/6.46 'class_Power_Opower' [100, 1] (w:1, o:122, a:1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Oring__1__no__zero__divisors' [101, 1] (w:1
% 6.07/6.46 , o:123, a:1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Omult__mono1' [103, 1] (w:1, o:67, a:1, s:1
% 6.07/6.46 , b:0),
% 6.07/6.46 'class_Ring__and__Field_Omult__mono' [104, 1] (w:1, o:68, a:1, s:1
% 6.07/6.46 , b:0),
% 6.07/6.46 'class_Ring__and__Field_Opordered__ring' [105, 1] (w:1, o:124, a:1
% 6.07/6.46 , s:1, b:0),
% 6.07/6.46 'class_RealVector_Oreal__vector' [106, 1] (w:1, o:125, a:1, s:1, b:0)
% 6.07/6.46 ,
% 6.07/6.46 'class_Ring__and__Field_Odivision__ring' [107, 1] (w:1, o:126, a:1
% 6.07/6.46 , s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Opordered__cancel__semiring' [109, 1] (w:1
% 6.07/6.46 , o:127, a:1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Ofield' [110, 1] (w:1, o:128, a:1, s:1, b:0)
% 6.07/6.46 ,
% 6.07/6.46 'class_Int_Onumber__ring' [111, 1] (w:1, o:129, a:1, s:1, b:0),
% 6.07/6.46 'c_HOL_Ominus__class_Ominus' [112, 3] (w:1, o:185, a:1, s:1, b:0),
% 6.07/6.46 'class_OrderedGroup_Oordered__ab__group__add' [113, 1] (w:1, o:82, a:
% 6.07/6.46 1, s:1, b:0),
% 6.07/6.46 'c_Transcendental_Osin' [114, 1] (w:1, o:102, a:1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Oabs__if' [115, 1] (w:1, o:130, a:1, s:1, b:0
% 6.07/6.46 ),
% 6.07/6.46 'class_Ring__and__Field_Oordered__semiring' [116, 1] (w:1, o:75, a:1
% 6.07/6.46 , s:1, b:0),
% 6.07/6.46 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [119, 1]
% 6.07/6.46 (w:1, o:108, a:1, s:1, b:0),
% 6.07/6.46 'class_OrderedGroup_Ocomm__monoid__add' [120, 1] (w:1, o:109, a:1, s:
% 6.07/6.46 1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Olordered__ring' [122, 1] (w:1, o:65, a:1, s:
% 6.07/6.46 1, b:0),
% 6.07/6.46 'class_RealVector_Oreal__normed__div__algebra' [123, 1] (w:1, o:131
% 6.07/6.46 , a:1, s:1, b:0),
% 6.07/6.46 'class_Orderings_Opreorder' [124, 1] (w:1, o:110, a:1, s:1, b:0),
% 6.07/6.46 'tc_Int_Oint' [127, 0] (w:1, o:41, a:1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Opordered__semiring' [129, 1] (w:1, o:132, a:
% 6.07/6.46 1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Ocomm__ring__1' [130, 1] (w:1, o:79, a:1, s:1
% 6.07/6.46 , b:0),
% 6.07/6.46 'class_OrderedGroup_Omonoid__mult' [133, 1] (w:1, o:111, a:1, s:1, b:
% 6.07/6.46 0),
% 6.07/6.46 'class_OrderedGroup_Oab__group__add' [134, 1] (w:1, o:112, a:1, s:1
% 6.07/6.46 , b:0),
% 6.07/6.46 'class_Ring__and__Field_Oordered__comm__semiring__strict' [136, 1]
% 6.07/6.46 (w:1, o:76, a:1, s:1, b:0),
% 6.07/6.46 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [137, 1]
% 6.07/6.46 (w:1, o:113, a:1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Oring__1' [139, 1] (w:1, o:133, a:1, s:1, b:0
% 6.07/6.46 ),
% 6.07/6.46 'class_Ring__and__Field_Osemiring__1' [141, 1] (w:1, o:136, a:1, s:1
% 6.07/6.46 , b:0),
% 6.07/6.46 'c_Int_Oiszero' [142, 2] (w:1, o:175, a:1, s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Oring' [144, 1] (w:1, o:134, a:1, s:1, b:0),
% 6.07/6.46
% 6.07/6.46 'class_Ring__and__Field_Oring__no__zero__divisors' [145, 1] (w:1, o:
% 6.07/6.46 135, a:1, s:1, b:0),
% 6.07/6.46 'class_RealVector_Oreal__normed__algebra' [146, 1] (w:1, o:137, a:1
% 6.07/6.46 , s:1, b:0),
% 6.07/6.46 'class_RealVector_Oreal__algebra' [147, 1] (w:1, o:138, a:1, s:1, b:0
% 6.07/6.46 ),
% 6.07/6.46 'class_OrderedGroup_Ocomm__monoid__mult' [148, 1] (w:1, o:114, a:1
% 6.07/6.46 , s:1, b:0),
% 6.07/6.46 'class_Ring__and__Field_Odvd' [150, 1] (w:1, o:139, a:1, s:1, b:0),
% 6.07/6.46 'class_OrderedGroup_Opordered__ab__semigroup__add' [151, 1] (w:1, o:
% 6.07/6.46 115, a:1, s:1, b:0),
% 6.07/6.46 'class_OrderedGroup_Omonoid__add' [153, 1] (w:1, o:116, a:1, s:1, b:0
% 6.07/6.46 ),
% 6.07/6.46 'class_RealVector_Oreal__normed__field' [157, 1] (w:1, o:140, a:1, s:
% 6.07/6.46 1, b:0),
% 6.07/6.46 'class_Int_Oring__char__0' [163, 1] (w:1, o:141, a:1, s:1, b:0),
% 6.07/6.46 'class_RealVector_Oreal__field' [164, 1] (w:1, o:142, a:1, s:1, b:0)
% 6.07/6.46 ,
% 6.07/6.46 'v_y____' [165, 0] (w:1, o:55, a:1, s:1, b:0),
% 30.85/31.22 'class_Ring__and__Field_Ocomm__ring' [169, 1] (w:1, o:80, a:1, s:1
% 30.85/31.22 , b:0),
% 30.85/31.22 'v_x____' [172, 0] (w:1, o:54, a:1, s:1, b:0),
% 30.85/31.22 'class_Ring__and__Field_Osemiring' [173, 1] (w:1, o:143, a:1, s:1, b:
% 30.85/31.22 0),
% 30.85/31.22 hAPP [175, 2] (w:1, o:176, a:1, s:1, b:0),
% 30.85/31.22 'class_OrderedGroup_Ocancel__semigroup__add' [176, 1] (w:1, o:117, a:
% 30.85/31.22 1, s:1, b:0),
% 30.85/31.22 'class_OrderedGroup_Ocancel__ab__semigroup__add' [177, 1] (w:1, o:118
% 30.85/31.22 , a:1, s:1, b:0),
% 30.85/31.22 'class_Ring__and__Field_Ocomm__semiring' [178, 1] (w:1, o:93, a:1, s:
% 30.85/31.22 1, b:0),
% 30.85/31.22 'class_OrderedGroup_Oab__semigroup__mult' [183, 1] (w:1, o:119, a:1
% 30.85/31.22 , s:1, b:0),
% 30.85/31.22 'class_OrderedGroup_Oab__semigroup__idem__mult' [184, 1] (w:1, o:120
% 30.85/31.22 , a:1, s:1, b:0),
% 30.85/31.22 'class_OrderedGroup_Oab__semigroup__add' [185, 1] (w:1, o:121, a:1
% 30.85/31.22 , s:1, b:0).
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Starting Search:
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 4224
% 30.85/31.22 Kept: 2081
% 30.85/31.22 Inuse: 91
% 30.85/31.22 Deleted: 0
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 10555
% 30.85/31.22 Kept: 4081
% 30.85/31.22 Inuse: 180
% 30.85/31.22 Deleted: 1
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 16829
% 30.85/31.22 Kept: 6085
% 30.85/31.22 Inuse: 267
% 30.85/31.22 Deleted: 2
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 21631
% 30.85/31.22 Kept: 8092
% 30.85/31.22 Inuse: 301
% 30.85/31.22 Deleted: 4
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 28034
% 30.85/31.22 Kept: 10106
% 30.85/31.22 Inuse: 337
% 30.85/31.22 Deleted: 8
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 36512
% 30.85/31.22 Kept: 12498
% 30.85/31.22 Inuse: 398
% 30.85/31.22 Deleted: 8
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 43532
% 30.85/31.22 Kept: 14511
% 30.85/31.22 Inuse: 446
% 30.85/31.22 Deleted: 8
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 49692
% 30.85/31.22 Kept: 16557
% 30.85/31.22 Inuse: 478
% 30.85/31.22 Deleted: 8
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 76864
% 30.85/31.22 Kept: 19512
% 30.85/31.22 Inuse: 506
% 30.85/31.22 Deleted: 10
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 81687
% 30.85/31.22 Kept: 22055
% 30.85/31.22 Inuse: 511
% 30.85/31.22 Deleted: 10
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying clauses:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 91259
% 30.85/31.22 Kept: 24147
% 30.85/31.22 Inuse: 541
% 30.85/31.22 Deleted: 421
% 30.85/31.22 Deletedinuse: 0
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 105781
% 30.85/31.22 Kept: 26650
% 30.85/31.22 Inuse: 571
% 30.85/31.22 Deleted: 422
% 30.85/31.22 Deletedinuse: 1
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 117926
% 30.85/31.22 Kept: 28655
% 30.85/31.22 Inuse: 628
% 30.85/31.22 Deleted: 422
% 30.85/31.22 Deletedinuse: 1
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 124493
% 30.85/31.22 Kept: 30690
% 30.85/31.22 Inuse: 647
% 30.85/31.22 Deleted: 426
% 30.85/31.22 Deletedinuse: 4
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 138577
% 30.85/31.22 Kept: 33377
% 30.85/31.22 Inuse: 675
% 30.85/31.22 Deleted: 426
% 30.85/31.22 Deletedinuse: 4
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 155085
% 30.85/31.22 Kept: 36121
% 30.85/31.22 Inuse: 700
% 30.85/31.22 Deleted: 426
% 30.85/31.22 Deletedinuse: 4
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 166723
% 30.85/31.22 Kept: 38127
% 30.85/31.22 Inuse: 743
% 30.85/31.22 Deleted: 426
% 30.85/31.22 Deletedinuse: 4
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 177459
% 30.85/31.22 Kept: 41201
% 30.85/31.22 Inuse: 753
% 30.85/31.22 Deleted: 426
% 30.85/31.22 Deletedinuse: 4
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying clauses:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 187336
% 30.85/31.22 Kept: 43355
% 30.85/31.22 Inuse: 790
% 30.85/31.22 Deleted: 1280
% 30.85/31.22 Deletedinuse: 4
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22 Resimplifying inuse:
% 30.85/31.22 Done
% 30.85/31.22
% 30.85/31.22
% 30.85/31.22 Intermediate Status:
% 30.85/31.22 Generated: 200379
% 30.85/31.22 Kept: 46254
% 30.85/31.22 Inuse: 830
% 78.54/78.95 Deleted: 1280
% 78.54/78.95 Deletedinuse: 4
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 210487
% 78.54/78.95 Kept: 48453
% 78.54/78.95 Inuse: 845
% 78.54/78.95 Deleted: 1280
% 78.54/78.95 Deletedinuse: 4
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 223558
% 78.54/78.95 Kept: 51024
% 78.54/78.95 Inuse: 880
% 78.54/78.95 Deleted: 1280
% 78.54/78.95 Deletedinuse: 4
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 238954
% 78.54/78.95 Kept: 53676
% 78.54/78.95 Inuse: 915
% 78.54/78.95 Deleted: 1282
% 78.54/78.95 Deletedinuse: 6
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 250303
% 78.54/78.95 Kept: 55807
% 78.54/78.95 Inuse: 960
% 78.54/78.95 Deleted: 1282
% 78.54/78.95 Deletedinuse: 6
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 263855
% 78.54/78.95 Kept: 57943
% 78.54/78.95 Inuse: 1004
% 78.54/78.95 Deleted: 1284
% 78.54/78.95 Deletedinuse: 7
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 275416
% 78.54/78.95 Kept: 60153
% 78.54/78.95 Inuse: 1029
% 78.54/78.95 Deleted: 1287
% 78.54/78.95 Deletedinuse: 10
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 288913
% 78.54/78.95 Kept: 62225
% 78.54/78.95 Inuse: 1059
% 78.54/78.95 Deleted: 1287
% 78.54/78.95 Deletedinuse: 10
% 78.54/78.95
% 78.54/78.95 Resimplifying clauses:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 303611
% 78.54/78.95 Kept: 66347
% 78.54/78.95 Inuse: 1067
% 78.54/78.95 Deleted: 2216
% 78.54/78.95 Deletedinuse: 10
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 317392
% 78.54/78.95 Kept: 68436
% 78.54/78.95 Inuse: 1089
% 78.54/78.95 Deleted: 2216
% 78.54/78.95 Deletedinuse: 10
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 327101
% 78.54/78.95 Kept: 70478
% 78.54/78.95 Inuse: 1114
% 78.54/78.95 Deleted: 2216
% 78.54/78.95 Deletedinuse: 10
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 336824
% 78.54/78.95 Kept: 72530
% 78.54/78.95 Inuse: 1144
% 78.54/78.95 Deleted: 2216
% 78.54/78.95 Deletedinuse: 10
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 348474
% 78.54/78.95 Kept: 74650
% 78.54/78.95 Inuse: 1169
% 78.54/78.95 Deleted: 2216
% 78.54/78.95 Deletedinuse: 10
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 375398
% 78.54/78.95 Kept: 78237
% 78.54/78.95 Inuse: 1183
% 78.54/78.95 Deleted: 2217
% 78.54/78.95 Deletedinuse: 10
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 386388
% 78.54/78.95 Kept: 80407
% 78.54/78.95 Inuse: 1223
% 78.54/78.95 Deleted: 2218
% 78.54/78.95 Deletedinuse: 11
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying clauses:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 397463
% 78.54/78.95 Kept: 82528
% 78.54/78.95 Inuse: 1250
% 78.54/78.95 Deleted: 2770
% 78.54/78.95 Deletedinuse: 15
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 427182
% 78.54/78.95 Kept: 86642
% 78.54/78.95 Inuse: 1283
% 78.54/78.95 Deleted: 2771
% 78.54/78.95 Deletedinuse: 16
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 450849
% 78.54/78.95 Kept: 89828
% 78.54/78.95 Inuse: 1312
% 78.54/78.95 Deleted: 2772
% 78.54/78.95 Deletedinuse: 16
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 457797
% 78.54/78.95 Kept: 93480
% 78.54/78.95 Inuse: 1316
% 78.54/78.95 Deleted: 2774
% 78.54/78.95 Deletedinuse: 17
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 470309
% 78.54/78.95 Kept: 95717
% 78.54/78.95 Inuse: 1331
% 78.54/78.95 Deleted: 2782
% 78.54/78.95 Deletedinuse: 25
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 479616
% 78.54/78.95 Kept: 97717
% 78.54/78.95 Inuse: 1349
% 78.54/78.95 Deleted: 2788
% 78.54/78.95 Deletedinuse: 26
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 494383
% 78.54/78.95 Kept: 101472
% 78.54/78.95 Inuse: 1350
% 78.54/78.95 Deleted: 2788
% 78.54/78.95 Deletedinuse: 26
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying clauses:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 521237
% 78.54/78.95 Kept: 105482
% 78.54/78.95 Inuse: 1371
% 78.54/78.95 Deleted: 3619
% 78.54/78.95 Deletedinuse: 26
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 532899
% 78.54/78.95 Kept: 107520
% 78.54/78.95 Inuse: 1386
% 78.54/78.95 Deleted: 3619
% 78.54/78.95 Deletedinuse: 26
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 78.54/78.95 Done
% 78.54/78.95
% 78.54/78.95
% 78.54/78.95 Intermediate Status:
% 78.54/78.95 Generated: 549595
% 78.54/78.95 Kept: 110352
% 78.54/78.95 Inuse: 1396
% 78.54/78.95 Deleted: 3619
% 78.54/78.95 Deletedinuse: 26
% 78.54/78.95
% 78.54/78.95 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 558409
% 150.93/151.35 Kept: 112356
% 150.93/151.35 Inuse: 1418
% 150.93/151.35 Deleted: 3619
% 150.93/151.35 Deletedinuse: 26
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 571339
% 150.93/151.35 Kept: 114529
% 150.93/151.35 Inuse: 1431
% 150.93/151.35 Deleted: 3619
% 150.93/151.35 Deletedinuse: 26
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 580883
% 150.93/151.35 Kept: 116663
% 150.93/151.35 Inuse: 1456
% 150.93/151.35 Deleted: 3619
% 150.93/151.35 Deletedinuse: 26
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 593214
% 150.93/151.35 Kept: 119124
% 150.93/151.35 Inuse: 1471
% 150.93/151.35 Deleted: 3619
% 150.93/151.35 Deletedinuse: 26
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 601489
% 150.93/151.35 Kept: 121496
% 150.93/151.35 Inuse: 1491
% 150.93/151.35 Deleted: 3619
% 150.93/151.35 Deletedinuse: 26
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying clauses:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 610829
% 150.93/151.35 Kept: 123776
% 150.93/151.35 Inuse: 1511
% 150.93/151.35 Deleted: 3971
% 150.93/151.35 Deletedinuse: 26
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 621252
% 150.93/151.35 Kept: 125989
% 150.93/151.35 Inuse: 1536
% 150.93/151.35 Deleted: 3971
% 150.93/151.35 Deletedinuse: 26
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 632499
% 150.93/151.35 Kept: 128361
% 150.93/151.35 Inuse: 1571
% 150.93/151.35 Deleted: 3971
% 150.93/151.35 Deletedinuse: 26
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 643646
% 150.93/151.35 Kept: 132287
% 150.93/151.35 Inuse: 1584
% 150.93/151.35 Deleted: 4001
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 656864
% 150.93/151.35 Kept: 134871
% 150.93/151.35 Inuse: 1601
% 150.93/151.35 Deleted: 4001
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 666535
% 150.93/151.35 Kept: 136895
% 150.93/151.35 Inuse: 1628
% 150.93/151.35 Deleted: 4001
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 676917
% 150.93/151.35 Kept: 139034
% 150.93/151.35 Inuse: 1651
% 150.93/151.35 Deleted: 4001
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 706999
% 150.93/151.35 Kept: 142573
% 150.93/151.35 Inuse: 1676
% 150.93/151.35 Deleted: 4001
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying clauses:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 718980
% 150.93/151.35 Kept: 144935
% 150.93/151.35 Inuse: 1696
% 150.93/151.35 Deleted: 6555
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 729524
% 150.93/151.35 Kept: 147294
% 150.93/151.35 Inuse: 1716
% 150.93/151.35 Deleted: 6555
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 738418
% 150.93/151.35 Kept: 149315
% 150.93/151.35 Inuse: 1734
% 150.93/151.35 Deleted: 6555
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 754032
% 150.93/151.35 Kept: 152361
% 150.93/151.35 Inuse: 1746
% 150.93/151.35 Deleted: 6555
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 768557
% 150.93/151.35 Kept: 155386
% 150.93/151.35 Inuse: 1761
% 150.93/151.35 Deleted: 6555
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 778987
% 150.93/151.35 Kept: 157417
% 150.93/151.35 Inuse: 1768
% 150.93/151.35 Deleted: 6555
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 788112
% 150.93/151.35 Kept: 159417
% 150.93/151.35 Inuse: 1782
% 150.93/151.35 Deleted: 6555
% 150.93/151.35 Deletedinuse: 56
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 802319
% 150.93/151.35 Kept: 161427
% 150.93/151.35 Inuse: 1810
% 150.93/151.35 Deleted: 6556
% 150.93/151.35 Deletedinuse: 57
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 812358
% 150.93/151.35 Kept: 163551
% 150.93/151.35 Inuse: 1831
% 150.93/151.35 Deleted: 6556
% 150.93/151.35 Deletedinuse: 57
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying clauses:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 827075
% 150.93/151.35 Kept: 165555
% 150.93/151.35 Inuse: 1842
% 150.93/151.35 Deleted: 7278
% 150.93/151.35 Deletedinuse: 59
% 150.93/151.35
% 150.93/151.35 Resimplifying inuse:
% 150.93/151.35 Done
% 150.93/151.35
% 150.93/151.35
% 150.93/151.35 Intermediate Status:
% 150.93/151.35 Generated: 837294
% 150.93/151.35 Kept: 167720
% 150.93/151.35 Inuse: 1856
% 150.93/151.35 Deleted: 7278
% 281.86/282.37 Deletedinuse: 59
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 848682
% 281.86/282.37 Kept: 169808
% 281.86/282.37 Inuse: 1876
% 281.86/282.37 Deleted: 7278
% 281.86/282.37 Deletedinuse: 59
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 858965
% 281.86/282.37 Kept: 171847
% 281.86/282.37 Inuse: 1896
% 281.86/282.37 Deleted: 7278
% 281.86/282.37 Deletedinuse: 59
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 870945
% 281.86/282.37 Kept: 174006
% 281.86/282.37 Inuse: 1921
% 281.86/282.37 Deleted: 7278
% 281.86/282.37 Deletedinuse: 59
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 885830
% 281.86/282.37 Kept: 176361
% 281.86/282.37 Inuse: 1951
% 281.86/282.37 Deleted: 7278
% 281.86/282.37 Deletedinuse: 59
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 904039
% 281.86/282.37 Kept: 179477
% 281.86/282.37 Inuse: 1971
% 281.86/282.37 Deleted: 7278
% 281.86/282.37 Deletedinuse: 59
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 919081
% 281.86/282.37 Kept: 181669
% 281.86/282.37 Inuse: 2001
% 281.86/282.37 Deleted: 7278
% 281.86/282.37 Deletedinuse: 59
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying clauses:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 931211
% 281.86/282.37 Kept: 183726
% 281.86/282.37 Inuse: 2021
% 281.86/282.37 Deleted: 8086
% 281.86/282.37 Deletedinuse: 59
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 940685
% 281.86/282.37 Kept: 185756
% 281.86/282.37 Inuse: 2037
% 281.86/282.37 Deleted: 8086
% 281.86/282.37 Deletedinuse: 59
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 951488
% 281.86/282.37 Kept: 188124
% 281.86/282.37 Inuse: 2051
% 281.86/282.37 Deleted: 8090
% 281.86/282.37 Deletedinuse: 63
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 964474
% 281.86/282.37 Kept: 190291
% 281.86/282.37 Inuse: 2075
% 281.86/282.37 Deleted: 8090
% 281.86/282.37 Deletedinuse: 63
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 973173
% 281.86/282.37 Kept: 192692
% 281.86/282.37 Inuse: 2076
% 281.86/282.37 Deleted: 8101
% 281.86/282.37 Deletedinuse: 74
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 992637
% 281.86/282.37 Kept: 197124
% 281.86/282.37 Inuse: 2082
% 281.86/282.37 Deleted: 8101
% 281.86/282.37 Deletedinuse: 74
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1004353
% 281.86/282.37 Kept: 199418
% 281.86/282.37 Inuse: 2096
% 281.86/282.37 Deleted: 8101
% 281.86/282.37 Deletedinuse: 74
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1026333
% 281.86/282.37 Kept: 202934
% 281.86/282.37 Inuse: 2106
% 281.86/282.37 Deleted: 8101
% 281.86/282.37 Deletedinuse: 74
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying clauses:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1035440
% 281.86/282.37 Kept: 205093
% 281.86/282.37 Inuse: 2120
% 281.86/282.37 Deleted: 12736
% 281.86/282.37 Deletedinuse: 74
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1043618
% 281.86/282.37 Kept: 207099
% 281.86/282.37 Inuse: 2143
% 281.86/282.37 Deleted: 12745
% 281.86/282.37 Deletedinuse: 83
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1055533
% 281.86/282.37 Kept: 213885
% 281.86/282.37 Inuse: 2151
% 281.86/282.37 Deleted: 12745
% 281.86/282.37 Deletedinuse: 83
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1062961
% 281.86/282.37 Kept: 216135
% 281.86/282.37 Inuse: 2176
% 281.86/282.37 Deleted: 12746
% 281.86/282.37 Deletedinuse: 84
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1070232
% 281.86/282.37 Kept: 218312
% 281.86/282.37 Inuse: 2196
% 281.86/282.37 Deleted: 12746
% 281.86/282.37 Deletedinuse: 84
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1077348
% 281.86/282.37 Kept: 220458
% 281.86/282.37 Inuse: 2216
% 281.86/282.37 Deleted: 12746
% 281.86/282.37 Deletedinuse: 84
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1083796
% 281.86/282.37 Kept: 222506
% 281.86/282.37 Inuse: 2234
% 281.86/282.37 Deleted: 12746
% 281.86/282.37 Deletedinuse: 84
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1090417
% 281.86/282.37 Kept: 224619
% 281.86/282.37 Inuse: 2251
% 281.86/282.37 Deleted: 12746
% 281.86/282.37 Deletedinuse: 84
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying clauses:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1098472
% 281.86/282.37 Kept: 226639
% 281.86/282.37 Inuse: 2270
% 281.86/282.37 Deleted: 13727
% 281.86/282.37 Deletedinuse: 84
% 281.86/282.37
% 281.86/282.37 Resimplifying inuse:
% 281.86/282.37 Done
% 281.86/282.37
% 281.86/282.37
% 281.86/282.37 Intermediate Status:
% 281.86/282.37 Generated: 1109263
% 281.86/282.37 Kept: 229181
% 281.86/282.37 Inuse: 2286
% 281.86/282.37 Deleted: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------