TSTP Solution File: SWV614-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV614-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:08 EDT 2022
% Result : Timeout 300.10s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV614-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n006.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 : Tue Jun 14 21:47:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.03/1.44 *** allocated 10000 integers for termspace/termends
% 1.03/1.44 *** allocated 10000 integers for clauses
% 1.03/1.44 *** allocated 10000 integers for justifications
% 1.03/1.44 *** allocated 15000 integers for termspace/termends
% 1.03/1.44 *** allocated 22500 integers for termspace/termends
% 1.03/1.44 *** allocated 33750 integers for termspace/termends
% 1.03/1.44 Bliksem 1.12
% 1.03/1.44
% 1.03/1.44
% 1.03/1.44 Automatic Strategy Selection
% 1.03/1.44
% 1.03/1.44 Clauses:
% 1.03/1.44 [
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.03/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.03/1.44 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.03/1.44 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.44 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.44 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.03/1.44 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.03/1.44 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.03/1.44 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.03/1.44 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.44 , T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.44 , T, X ) ) ), =( Y, Z ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.44 , T, X ) ) ), =( Z, T ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.44 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.03/1.44 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.44 ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.03/1.44 ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.44 ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.03/1.44 ), X ) ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.44 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.03/1.44 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.03/1.44 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.44 ],
% 1.03/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.03/1.44 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.03/1.44 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Otan'(
% 1.03/1.44 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ) ), X ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.03/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.03/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ), =( Y, Z ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ), =( Y, Z ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.44 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.03/1.44 , U, X ), X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.44 ],
% 1.03/1.44 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.03/1.44 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.44 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.44 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.03/1.44 , 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.03/1.44 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.44 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.44 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.03/1.44 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.44 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.44 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.03/1.44 ), Y ) ],
% 1.03/1.44 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.44 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.44 ), Y ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.44 ), Y ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.03/1.44 ), Y ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.44 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.03/1.44 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.03/1.44 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.03/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.44 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.44 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.03/1.44 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Y, Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.03/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.44 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.44 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.44 , 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.03/1.44 ), Y ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.44 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.03/1.44 ],
% 1.03/1.44 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.03/1.44 , X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.44 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.03/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.44 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.03/1.44 , X ), T, X ), W, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.44 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.03/1.44 , X ), W, X ), X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.03/1.44 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.44 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.03/1.44 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.03/1.44 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 1.03/1.44 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.44 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.03/1.44 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.44 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.03/1.44 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.03/1.44 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.44 , T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.44 , T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.44 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.03/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.44 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.44 Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.44 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.03/1.44 , X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 Z, Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.03/1.44 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.03/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.03/1.44 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.44 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.03/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.03/1.44 , X ) ) ), =( Y, Z ) ],
% 1.03/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.03/1.44 , X ) ) ), =( Y, Z ) ],
% 1.03/1.44 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.44 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.44 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.03/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.03/1.44 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.44 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.03/1.44 ), =( Z, Y ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.03/1.44 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.44 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.03/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.03/1.44 , Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.44 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.44 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.03/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.44 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.03/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.03/1.44 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.03/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.03/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.03/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.03/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.44 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.03/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.44 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.44 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.44 ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.44 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.03/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.44 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.44 Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , T, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.44 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , T, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.03/1.44 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.03/1.44 ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.44 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.03/1.44 ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.44 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , Z, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.44 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , Z, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.44 , Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.44 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Y, T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.44 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Y, T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.44 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.03/1.44 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.44 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.44 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.44 X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.44 Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.03/1.44 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.03/1.44 X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.44 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.44 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.03/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.44 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.44 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.03/1.44 X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.44 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.03/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.44 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.44 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.03/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.44 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.44 ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.44 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.44 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.03/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.44 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.44 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.44 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.44 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.44 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.44 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.44 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.44 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Otan'(
% 1.03/1.44 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ) )
% 1.03/1.44 , X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.03/1.44 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.44 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.44 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.44 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.44 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.03/1.44 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.03/1.44 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.03/1.44 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.03/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.44 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.44 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.44 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.44 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.44 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.03/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.03/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.44 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.44 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.03/1.44 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.03/1.44 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.03/1.44 , X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.03/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.03/1.44 , X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.03/1.44 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.03/1.44 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.03/1.44 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.44 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.03/1.44 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Z, T, 'tc_nat' ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.44 Y, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.03/1.44 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.03/1.44 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 Y, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.03/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.03/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.03/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.03/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.03/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.03/1.44 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Ocos'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.44 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.44 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.03/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.03/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.03/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.03/1.44 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.44 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.44 ,
% 1.03/1.44 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.44 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ) ) ), ~( =( 'c_Transcendental_Osin'( X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.44 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.03/1.44 ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.44 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.44 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.44 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.03/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.03/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.03/1.44 , X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 1.03/1.44 , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =(
% 1.03/1.44 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.44 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.44 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.44 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.44 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.44 ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.44 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.44 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.03/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.03/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.44 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.44 , T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.44 , T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.44 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), T, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.44 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.44 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.03/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.44 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.44 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.03/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.44 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.45 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.45 ), X ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.45 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.45 ), X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.03/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.45 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.03/1.45 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.45 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Oarctan'( 'c_Transcendental_Otan'( X ) ), X ),
% 1.03/1.45 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 X, 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.03/1.45 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'(
% 1.03/1.45 'c_Transcendental_Otan'( X ) ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.45 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.03/1.45 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.03/1.45 X ), X ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.45 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.03/1.45 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.45 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.03/1.45 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.03/1.45 X ) ) ), =( Z, T ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.03/1.45 X ) ) ), =( Z, T ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.03/1.45 X ) ) ), =( Y, T ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.45 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.03/1.45 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.45 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.45 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.03/1.45 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.45 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.45 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.03/1.45 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.45 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.03/1.45 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.03/1.45 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.03/1.45 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.03/1.45 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.03/1.45 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.45 ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.45 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.03/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.03/1.45 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.03/1.45 , X ), W, X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.03/1.45 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.03/1.45 X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.03/1.45 X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.03/1.45 X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.03/1.45 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.03/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.03/1.45 W, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.03/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.03/1.45 , X ), T, X ), W, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.03/1.45 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.03/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.03/1.45 W, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.03/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.03/1.45 , X ), W, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.45 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.03/1.45 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.03/1.45 ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_Transcendental_Otan'( X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), Y, 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.03/1.45 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.03/1.45 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.03/1.45 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.45 ), X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.03/1.45 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.03/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.03/1.45 ), X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.03/1.45 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.45 , T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.03/1.45 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.03/1.45 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.45 , T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.03/1.45 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.03/1.45 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.03/1.45 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.45 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.03/1.45 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.45 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.45 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.45 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.03/1.45 , X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.45 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.45 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.45 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.45 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.03/1.45 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.45 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.45 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.45 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.03/1.45 ), Y, X ) ), =( Z, T ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.03/1.45 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.03/1.45 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.03/1.45 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.45 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal'
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.45 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.45 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.45 , 'c_Transcendental_Otan'( 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.45 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.03/1.45 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.03/1.45 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.03/1.45 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'(
% 1.03/1.45 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_RealDef_Oreal'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.03/1.45 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat'
% 1.03/1.45 ), 'c_RealDef_Oreal'( Y, 'tc_nat' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ) ) ) ) ) ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ =( 'c_Complex_Ocis'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.45 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 1.03/1.45 ],
% 1.03/1.45 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X,
% 1.03/1.45 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.03/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.03/1.45 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.45 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.45 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.03/1.45 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.45 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.03/1.45 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.45 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.45 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.03/1.45 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.03/1.45 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.45 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.03/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.03/1.45 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 , Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.03/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 , Y, X ) ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.45 , Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.03/1.45 , X ) ) ],
% 1.03/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.45 , Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.45 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.03/1.45 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 X ), X ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.45 ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.45 , X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.45 ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.03/1.45 ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.03/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.45 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.45 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.03/1.45 X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.03/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.03/1.45 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.45 , X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.45 , X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.03/1.45 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.03/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.03/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.03/1.45 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.03/1.45 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.03/1.45 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.03/1.45 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.03/1.45 X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.03/1.45 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.03/1.45 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.03/1.45 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.03/1.45 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.45 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.03/1.45 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.03/1.45 X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Z, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Z, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.03/1.45 X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.03/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Y, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Y, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.03/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.03/1.45 , X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.45 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.03/1.45 , X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.03/1.45 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.45 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.03/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.03/1.45 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.03/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.45 , Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.45 , T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.03/1.45 , T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.03/1.45 , Y, X ), X ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.03/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.03/1.45 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.03/1.45 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.03/1.45 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.03/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.03/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.03/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.03/1.45 'c_lessequals'( Z, Y, X ) ],
% 1.03/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.03/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.03/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.03/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), X, 'tc_nat' ), 'tc_nat' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.03/1.45 ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_Transcendental_Osin'( X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_Transcendental_Ocos'( X ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.03/1.45 ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_Transcendental_Otan'( X ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1'( X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.03/1.45 ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'(
% 1.03/1.45 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1'( X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.03/1.45 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 1.03/1.45 , X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.03/1.45 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.03/1.45 X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.03/1.45 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.03/1.45 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( 'v_k', 'tc_nat' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ =( 'c_Power_Opower__class_Opower'( 'c_Complex_Ocis'( X ), Y,
% 1.03/1.45 'tc_Complex_Ocomplex' ), 'c_Complex_Ocis'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_RealDef_Oreal'( Y, 'tc_nat' ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.03/1.45 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.03/1.45 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.03/1.45 Y, Z, X ), X ) ) ],
% 1.03/1.45 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.03/1.45 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.03/1.45 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.03/1.45 ), Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.03/1.45 ), Y ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.03/1.45 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.03/1.45 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.03/1.45 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.45 X ), T, X ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.03/1.45 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.03/1.45 T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.03/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.03/1.45 X ), T, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.03/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.03/1.45 T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.03/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.03/1.45 X ), Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.03/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.03/1.45 T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.03/1.45 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.03/1.45 ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.03/1.45 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.03/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.45 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.03/1.45 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.03/1.45 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.03/1.45 Z, T, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.03/1.45 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 1.03/1.45 ) ) ), =( X, Y ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.03/1.45 , X ), Y ) ],
% 1.03/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.03/1.45 , X ), Y ) ],
% 1.03/1.45 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.03/1.45 ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.03/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.03/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.03/1.45 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.45 , Y, X ) ) ],
% 1.03/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.03/1.45 , Y, X ) ) ],
% 1.03/1.45 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.03/1.45 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.03/1.45 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.03/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.03/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.03/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.03/1.45 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 Y, T, X ), Z, X ) ) ],
% 1.03/1.45 [ =( 'c_Power_Opower__class_Opower'( 'c_Complex_Ocis'(
% 1.03/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.03/1.45 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.03/1.45 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.03/1.45 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ),
% 1.03/1.45 'tc_RealDef_Oreal' ) ), 'v_k', 'tc_Complex_Ocomplex' ),
% 1.03/1.45 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.03/1.45 ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.03/1.45 ],
% 1.03/1.45 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.03/1.45 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.03/1.45 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.03/1.45 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.03/1.45 ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.03/1.45 ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.03/1.45 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.03/1.45 ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.03/1.45 ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.03/1.45 ],
% 1.03/1.45 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.03/1.45 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.03/1.45 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.03/1.45 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.03/1.45 ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.03/1.45 ],
% 1.03/1.45 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.03/1.45 ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ,
% 1.03/1.45 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.03/1.45 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.03/1.45 ] .
% 1.03/1.45
% 1.03/1.45
% 1.03/1.45 percentage equality = 0.190716, percentage horn = 0.865503
% 1.03/1.45 This is a problem with some equality
% 1.03/1.45
% 1.03/1.45
% 1.03/1.45
% 1.03/1.45 Options Used:
% 1.03/1.45
% 1.03/1.45 useres = 1
% 1.03/1.45 useparamod = 1
% 1.03/1.45 useeqrefl = 1
% 1.03/1.45 useeqfact = 1
% 1.03/1.45 usefactor = 1
% 1.03/1.45 usesimpsplitting = 0
% 1.03/1.45 usesimpdemod = 5
% 1.03/1.45 usesimpres = 3
% 1.03/1.45
% 1.03/1.45 resimpinuse = 1000
% 1.03/1.45 resimpclauses = 20000
% 1.03/1.45 substype = eqrewr
% 1.03/1.45 backwardsubs = 1
% 1.03/1.45 selectoldest = 5
% 1.07/1.52
% 1.07/1.52 litorderings [0] = split
% 1.07/1.52 litorderings [1] = extend the termordering, first sorting on arguments
% 1.07/1.52
% 1.07/1.52 termordering = kbo
% 1.07/1.52
% 1.07/1.52 litapriori = 0
% 1.07/1.52 termapriori = 1
% 1.07/1.52 litaposteriori = 0
% 1.07/1.52 termaposteriori = 0
% 1.07/1.52 demodaposteriori = 0
% 1.07/1.52 ordereqreflfact = 0
% 1.07/1.52
% 1.07/1.52 litselect = negord
% 1.07/1.52
% 1.07/1.52 maxweight = 15
% 1.07/1.52 maxdepth = 30000
% 1.07/1.52 maxlength = 115
% 1.07/1.52 maxnrvars = 195
% 1.07/1.52 excuselevel = 1
% 1.07/1.52 increasemaxweight = 1
% 1.07/1.52
% 1.07/1.52 maxselected = 10000000
% 1.07/1.52 maxnrclauses = 10000000
% 1.07/1.52
% 1.07/1.52 showgenerated = 0
% 1.07/1.52 showkept = 0
% 1.07/1.52 showselected = 0
% 1.07/1.52 showdeleted = 0
% 1.07/1.52 showresimp = 1
% 1.07/1.52 showstatus = 2000
% 1.07/1.52
% 1.07/1.52 prologoutput = 1
% 1.07/1.52 nrgoals = 5000000
% 1.07/1.52 totalproof = 1
% 1.07/1.52
% 1.07/1.52 Symbols occurring in the translation:
% 1.07/1.52
% 1.07/1.52 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.07/1.52 . [1, 2] (w:1, o:130, a:1, s:1, b:0),
% 1.07/1.52 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 1.07/1.52 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.07/1.52 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.07/1.52 'class_OrderedGroup_Ogroup__add' [40, 1] (w:1, o:61, a:1, s:1, b:0),
% 1.07/1.52
% 1.07/1.52 'c_HOL_Ouminus__class_Ouminus' [42, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.07/1.52 'c_HOL_Oplus__class_Oplus' [43, 3] (w:1, o:160, a:1, s:1, b:0),
% 1.07/1.52 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.07/1.52 'tc_RealDef_Oreal' [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.07/1.52 'c_HOL_Oone__class_Oone' [46, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.07/1.52 'c_NthRoot_Osqrt' [48, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.07/1.52 'c_HOL_Oord__class_Oless' [49, 3] (w:1, o:159, a:1, s:1, b:0),
% 1.07/1.52 'class_RealVector_Oreal__normed__algebra' [50, 1] (w:1, o:65, a:1, s:
% 1.07/1.52 1, b:0),
% 1.07/1.52 'c_HOL_Otimes__class_Otimes' [52, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.07/1.52 'c_HOL_Ominus__class_Ominus' [54, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.07/1.52 'c_lessequals' [55, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.07/1.52 'class_Ring__and__Field_Oordered__ring__strict' [57, 1] (w:1, o:70
% 1.07/1.52 , a:1, s:1, b:0),
% 1.07/1.52 'class_Ring__and__Field_Oordered__semiring__strict' [59, 1] (w:1, o:
% 1.07/1.52 71, a:1, s:1, b:0),
% 1.07/1.52 'class_Ring__and__Field_Oordered__idom' [60, 1] (w:1, o:72, a:1, s:1
% 1.07/1.52 , b:0),
% 1.07/1.52 'c_Power_Opower__class_Opower' [62, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.07/1.52 'class_OrderedGroup_Oab__group__add' [63, 1] (w:1, o:73, a:1, s:1, b:
% 1.07/1.52 0),
% 1.07/1.52 'class_Ring__and__Field_Oordered__semidom' [67, 1] (w:1, o:74, a:1
% 1.07/1.52 , s:1, b:0),
% 1.07/1.52 'c_Transcendental_Opi' [68, 0] (w:1, o:30, a:1, s:1, b:0),
% 1.07/1.52 'c_Transcendental_Osin' [69, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.07/1.52 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [70, 1]
% 1.07/1.52 (w:1, o:77, a:1, s:1, b:0),
% 1.07/1.52 'class_OrderedGroup_Ocomm__monoid__add' [71, 1] (w:1, o:78, a:1, s:1
% 1.07/1.52 , b:0),
% 1.07/1.52 'c_HOL_Oinverse__class_Odivide' [72, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.07/1.52
% 1.07/1.52 'class_Ring__and__Field_Oordered__field' [73, 1] (w:1, o:79, a:1, s:1
% 1.07/1.52 , b:0),
% 1.07/1.52 'class_Ring__and__Field_Odivision__by__zero' [74, 1] (w:1, o:83, a:1
% 1.07/1.52 , s:1, b:0),
% 1.07/1.52 'class_Orderings_Olinorder' [75, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.07/1.52 'class_Orderings_Opreorder' [76, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.07/1.52 'c_Transcendental_Ocos' [77, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.07/1.52 'c_Transcendental_Osko__Transcendental__Xtan__total__1__1' [78, 1]
% 1.07/1.52 (w:1, o:88, a:1, s:1, b:0),
% 1.07/1.52 'c_Transcendental_Otan' [79, 1] (w:1, o:90, a:1, s:1, b:0),
% 1.07/1.52 'class_Ring__and__Field_Ocomm__semiring__1' [80, 1] (w:1, o:81, a:1
% 1.07/1.52 , s:1, b:0),
% 1.07/1.52 'class_OrderedGroup_Oab__semigroup__add' [82, 1] (w:1, o:91, a:1, s:1
% 1.07/1.52 , b:0),
% 1.07/1.52 'tc_nat' [83, 0] (w:1, o:32, a:1, s:1, b:0),
% 1.07/1.52 'c_RealDef_Oreal' [84, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.07/1.52 'class_OrderedGroup_Opordered__comm__monoid__add' [85, 1] (w:1, o:92
% 1.07/1.52 , a:1, s:1, b:0),
% 1.07/1.52 'class_Ring__and__Field_Oidom' [86, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.07/1.52 'class_Int_Onumber__ring' [87, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.07/1.52 'c_Int_Onumber__class_Onumber__of' [89, 2] (w:1, o:157, a:1, s:1, b:0
% 1.07/1.52 ),
% 1.07/1.52 'class_Ring__and__Field_Oordered__comm__semiring__strict' [91, 1] (w:
% 1.07/1.52 1, o:95, a:1, s:1, b:0),
% 1.07/1.52 'class_OrderedGroup_Omonoid__add' [92, 1] (w:1, o:97, a:1, s:1, b:0)
% 6.87/7.27 ,
% 6.87/7.27 'class_Ring__and__Field_Ozero__neq__one' [93, 1] (w:1, o:98, a:1, s:1
% 6.87/7.27 , b:0),
% 6.87/7.27 'class_Ring__and__Field_Ono__zero__divisors' [94, 1] (w:1, o:69, a:1
% 6.87/7.27 , s:1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Omult__zero' [95, 1] (w:1, o:66, a:1, s:1, b:
% 6.87/7.27 0),
% 6.87/7.27 'class_Power_Opower' [96, 1] (w:1, o:108, a:1, s:1, b:0),
% 6.87/7.27 'class_Lattices_Oboolean__algebra' [97, 1] (w:1, o:109, a:1, s:1, b:0
% 6.87/7.27 ),
% 6.87/7.27 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [98, 1]
% 6.87/7.27 (w:1, o:99, a:1, s:1, b:0),
% 6.87/7.27 'class_OrderedGroup_Opordered__ab__group__add' [99, 1] (w:1, o:100
% 6.87/7.27 , a:1, s:1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Oring' [100, 1] (w:1, o:110, a:1, s:1, b:0),
% 6.87/7.27
% 6.87/7.27 'class_Ring__and__Field_Oring__no__zero__divisors' [101, 1] (w:1, o:
% 6.87/7.27 111, a:1, s:1, b:0),
% 6.87/7.27 'class_Orderings_Oorder' [102, 1] (w:1, o:85, a:1, s:1, b:0),
% 6.87/7.27 'class_OrderedGroup_Olordered__ab__group__add' [104, 1] (w:1, o:96
% 6.87/7.27 , a:1, s:1, b:0),
% 6.87/7.27 'c_Transcendental_Oarctan' [105, 1] (w:1, o:112, a:1, s:1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Ofield' [106, 1] (w:1, o:113, a:1, s:1, b:0)
% 6.87/7.27 ,
% 6.87/7.27 'class_Ring__and__Field_Opordered__ring' [108, 1] (w:1, o:115, a:1
% 6.87/7.27 , s:1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Oordered__semiring' [109, 1] (w:1, o:114, a:1
% 6.87/7.27 , s:1, b:0),
% 6.87/7.27 'class_OrderedGroup_Opordered__ab__semigroup__add' [110, 1] (w:1, o:
% 6.87/7.27 101, a:1, s:1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Ocomm__semiring' [111, 1] (w:1, o:82, a:1, s:
% 6.87/7.27 1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Osemiring' [115, 1] (w:1, o:118, a:1, s:1, b:
% 6.87/7.27 0),
% 6.87/7.27 'class_Int_Onumber' [116, 1] (w:1, o:119, a:1, s:1, b:0),
% 6.87/7.27 'c_Int_OBit0' [117, 1] (w:1, o:120, a:1, s:1, b:0),
% 6.87/7.27 'class_RealVector_Oreal__field' [118, 1] (w:1, o:121, a:1, s:1, b:0)
% 6.87/7.27 ,
% 6.87/7.27 'class_Ring__and__Field_Omult__mono1' [120, 1] (w:1, o:67, a:1, s:1
% 6.87/7.27 , b:0),
% 6.87/7.27 'class_Ring__and__Field_Omult__mono' [121, 1] (w:1, o:68, a:1, s:1
% 6.87/7.27 , b:0),
% 6.87/7.27 'c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1' [123, 1
% 6.87/7.27 ] (w:1, o:89, a:1, s:1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Opordered__cancel__semiring' [124, 1] (w:1
% 6.87/7.27 , o:122, a:1, s:1, b:0),
% 6.87/7.27 'class_OrderedGroup_Oordered__ab__group__add' [126, 1] (w:1, o:76, a:
% 6.87/7.27 1, s:1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Opordered__semiring' [127, 1] (w:1, o:123, a:
% 6.87/7.27 1, s:1, b:0),
% 6.87/7.27 'c_Int_OPls' [128, 0] (w:1, o:40, a:1, s:1, b:0),
% 6.87/7.27 'c_Int_OBit1' [129, 1] (w:1, o:124, a:1, s:1, b:0),
% 6.87/7.27 'class_OrderedGroup_Omonoid__mult' [130, 1] (w:1, o:102, a:1, s:1, b:
% 6.87/7.27 0),
% 6.87/7.27 'class_Ring__and__Field_Oring__1__no__zero__divisors' [131, 1] (w:1
% 6.87/7.27 , o:116, a:1, s:1, b:0),
% 6.87/7.27 'class_RealVector_Oreal__normed__field' [134, 1] (w:1, o:125, a:1, s:
% 6.87/7.27 1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Ocomm__ring__1' [137, 1] (w:1, o:80, a:1, s:1
% 6.87/7.27 , b:0),
% 6.87/7.27 'class_OrderedGroup_Ocancel__ab__semigroup__add' [141, 1] (w:1, o:103
% 6.87/7.27 , a:1, s:1, b:0),
% 6.87/7.27 'class_OrderedGroup_Ocancel__semigroup__add' [142, 1] (w:1, o:104, a:
% 6.87/7.27 1, s:1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Osemiring__1' [144, 1] (w:1, o:126, a:1, s:1
% 6.87/7.27 , b:0),
% 6.87/7.27 hAPP [146, 2] (w:1, o:158, a:1, s:1, b:0),
% 6.87/7.27 'c_Complex_Ocis' [147, 1] (w:1, o:127, a:1, s:1, b:0),
% 6.87/7.27 'tc_Complex_Ocomplex' [148, 0] (w:1, o:50, a:1, s:1, b:0),
% 6.87/7.27 'c_FFT__Mirabelle_Oroot' [149, 1] (w:1, o:128, a:1, s:1, b:0),
% 6.87/7.27 'class_Ring__and__Field_Oring__1' [150, 1] (w:1, o:117, a:1, s:1, b:0
% 6.87/7.27 ),
% 6.87/7.27 'v_k' [153, 0] (w:1, o:52, a:1, s:1, b:0),
% 6.87/7.27 'v_n' [154, 0] (w:1, o:53, a:1, s:1, b:0),
% 6.87/7.27 'class_OrderedGroup_Oab__semigroup__mult' [161, 1] (w:1, o:105, a:1
% 6.87/7.27 , s:1, b:0),
% 6.87/7.27 'class_OrderedGroup_Ocomm__monoid__mult' [162, 1] (w:1, o:106, a:1
% 6.87/7.27 , s:1, b:0),
% 6.87/7.27 'class_OrderedGroup_Oab__semigroup__idem__mult' [163, 1] (w:1, o:107
% 6.87/7.27 , a:1, s:1, b:0),
% 6.87/7.27 'class_Int_Oring__char__0' [164, 1] (w:1, o:129, a:1, s:1, b:0),
% 6.87/7.27 'tc_Int_Oint' [165, 0] (w:1, o:55, a:1, s:1, b:0).
% 6.87/7.27
% 6.87/7.27
% 6.87/7.27 Starting Search:
% 6.87/7.27
% 6.87/7.27 Resimplifying inuse:
% 6.87/7.27 Done
% 6.87/7.27
% 6.87/7.27
% 6.87/7.27 Intermediate Status:
% 6.87/7.27 Generated: 3141
% 6.87/7.27 Kept: 2001
% 6.87/7.27 Inuse: 173
% 6.87/7.27 Deleted: 4
% 6.87/7.27 Deletedinuse: 0
% 6.87/7.27
% 6.87/7.27 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 6616
% 42.87/43.23 Kept: 4185
% 42.87/43.23 Inuse: 240
% 42.87/43.23 Deleted: 6
% 42.87/43.23 Deletedinuse: 0
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 10715
% 42.87/43.23 Kept: 6193
% 42.87/43.23 Inuse: 271
% 42.87/43.23 Deleted: 6
% 42.87/43.23 Deletedinuse: 0
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 14970
% 42.87/43.23 Kept: 8221
% 42.87/43.23 Inuse: 290
% 42.87/43.23 Deleted: 6
% 42.87/43.23 Deletedinuse: 0
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 19565
% 42.87/43.23 Kept: 10238
% 42.87/43.23 Inuse: 339
% 42.87/43.23 Deleted: 6
% 42.87/43.23 Deletedinuse: 0
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 24497
% 42.87/43.23 Kept: 12258
% 42.87/43.23 Inuse: 390
% 42.87/43.23 Deleted: 6
% 42.87/43.23 Deletedinuse: 0
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 29498
% 42.87/43.23 Kept: 14312
% 42.87/43.23 Inuse: 454
% 42.87/43.23 Deleted: 7
% 42.87/43.23 Deletedinuse: 0
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 38585
% 42.87/43.23 Kept: 16312
% 42.87/43.23 Inuse: 557
% 42.87/43.23 Deleted: 10
% 42.87/43.23 Deletedinuse: 1
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 53516
% 42.87/43.23 Kept: 18319
% 42.87/43.23 Inuse: 591
% 42.87/43.23 Deleted: 11
% 42.87/43.23 Deletedinuse: 1
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 65653
% 42.87/43.23 Kept: 20342
% 42.87/43.23 Inuse: 676
% 42.87/43.23 Deleted: 11
% 42.87/43.23 Deletedinuse: 1
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying clauses:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 75652
% 42.87/43.23 Kept: 22399
% 42.87/43.23 Inuse: 731
% 42.87/43.23 Deleted: 754
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 85823
% 42.87/43.23 Kept: 26199
% 42.87/43.23 Inuse: 776
% 42.87/43.23 Deleted: 754
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 99065
% 42.87/43.23 Kept: 29273
% 42.87/43.23 Inuse: 784
% 42.87/43.23 Deleted: 754
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 105924
% 42.87/43.23 Kept: 31333
% 42.87/43.23 Inuse: 811
% 42.87/43.23 Deleted: 754
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 114742
% 42.87/43.23 Kept: 33408
% 42.87/43.23 Inuse: 856
% 42.87/43.23 Deleted: 754
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 125996
% 42.87/43.23 Kept: 35437
% 42.87/43.23 Inuse: 871
% 42.87/43.23 Deleted: 754
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 134570
% 42.87/43.23 Kept: 37558
% 42.87/43.23 Inuse: 921
% 42.87/43.23 Deleted: 754
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 143863
% 42.87/43.23 Kept: 39778
% 42.87/43.23 Inuse: 966
% 42.87/43.23 Deleted: 754
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying clauses:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 153395
% 42.87/43.23 Kept: 41784
% 42.87/43.23 Inuse: 971
% 42.87/43.23 Deleted: 1425
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 172687
% 42.87/43.23 Kept: 46121
% 42.87/43.23 Inuse: 981
% 42.87/43.23 Deleted: 1425
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 198405
% 42.87/43.23 Kept: 48822
% 42.87/43.23 Inuse: 996
% 42.87/43.23 Deleted: 1425
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 209781
% 42.87/43.23 Kept: 50838
% 42.87/43.23 Inuse: 1047
% 42.87/43.23 Deleted: 1425
% 42.87/43.23 Deletedinuse: 3
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 222902
% 42.87/43.23 Kept: 52851
% 42.87/43.23 Inuse: 1054
% 42.87/43.23 Deleted: 1426
% 42.87/43.23 Deletedinuse: 4
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 252093
% 42.87/43.23 Kept: 56874
% 42.87/43.23 Inuse: 1057
% 42.87/43.23 Deleted: 1430
% 42.87/43.23 Deletedinuse: 4
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 263155
% 42.87/43.23 Kept: 59637
% 42.87/43.23 Inuse: 1058
% 42.87/43.23 Deleted: 1430
% 42.87/43.23 Deletedinuse: 4
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 42.87/43.23 Done
% 42.87/43.23
% 42.87/43.23
% 42.87/43.23 Intermediate Status:
% 42.87/43.23 Generated: 273780
% 42.87/43.23 Kept: 61650
% 42.87/43.23 Inuse: 1092
% 42.87/43.23 Deleted: 1430
% 42.87/43.23 Deletedinuse: 4
% 42.87/43.23
% 42.87/43.23 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying clauses:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 293495
% 111.86/112.25 Kept: 64256
% 111.86/112.25 Inuse: 1102
% 111.86/112.25 Deleted: 1694
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 302537
% 111.86/112.25 Kept: 66542
% 111.86/112.25 Inuse: 1127
% 111.86/112.25 Deleted: 1694
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 316220
% 111.86/112.25 Kept: 69572
% 111.86/112.25 Inuse: 1152
% 111.86/112.25 Deleted: 1694
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 348692
% 111.86/112.25 Kept: 73488
% 111.86/112.25 Inuse: 1182
% 111.86/112.25 Deleted: 1694
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 357068
% 111.86/112.25 Kept: 75664
% 111.86/112.25 Inuse: 1207
% 111.86/112.25 Deleted: 1694
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 365473
% 111.86/112.25 Kept: 77669
% 111.86/112.25 Inuse: 1236
% 111.86/112.25 Deleted: 1694
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 373004
% 111.86/112.25 Kept: 79843
% 111.86/112.25 Inuse: 1262
% 111.86/112.25 Deleted: 1694
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 396753
% 111.86/112.25 Kept: 85962
% 111.86/112.25 Inuse: 1290
% 111.86/112.25 Deleted: 1694
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying clauses:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 404782
% 111.86/112.25 Kept: 87963
% 111.86/112.25 Inuse: 1314
% 111.86/112.25 Deleted: 2571
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 414830
% 111.86/112.25 Kept: 90146
% 111.86/112.25 Inuse: 1342
% 111.86/112.25 Deleted: 2571
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 425056
% 111.86/112.25 Kept: 92450
% 111.86/112.25 Inuse: 1372
% 111.86/112.25 Deleted: 2571
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 457271
% 111.86/112.25 Kept: 96197
% 111.86/112.25 Inuse: 1392
% 111.86/112.25 Deleted: 2571
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 473145
% 111.86/112.25 Kept: 98825
% 111.86/112.25 Inuse: 1402
% 111.86/112.25 Deleted: 2571
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 488741
% 111.86/112.25 Kept: 101643
% 111.86/112.25 Inuse: 1412
% 111.86/112.25 Deleted: 2571
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 498230
% 111.86/112.25 Kept: 103656
% 111.86/112.25 Inuse: 1436
% 111.86/112.25 Deleted: 2571
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 512551
% 111.86/112.25 Kept: 105909
% 111.86/112.25 Inuse: 1452
% 111.86/112.25 Deleted: 2571
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying clauses:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 530473
% 111.86/112.25 Kept: 109283
% 111.86/112.25 Inuse: 1467
% 111.86/112.25 Deleted: 3119
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 546192
% 111.86/112.25 Kept: 115819
% 111.86/112.25 Inuse: 1472
% 111.86/112.25 Deleted: 3119
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 559739
% 111.86/112.25 Kept: 118082
% 111.86/112.25 Inuse: 1477
% 111.86/112.25 Deleted: 3119
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 569210
% 111.86/112.25 Kept: 120083
% 111.86/112.25 Inuse: 1499
% 111.86/112.25 Deleted: 3119
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 580465
% 111.86/112.25 Kept: 122332
% 111.86/112.25 Inuse: 1527
% 111.86/112.25 Deleted: 3119
% 111.86/112.25 Deletedinuse: 4
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 592497
% 111.86/112.25 Kept: 126233
% 111.86/112.25 Inuse: 1538
% 111.86/112.25 Deleted: 3123
% 111.86/112.25 Deletedinuse: 6
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying clauses:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 605355
% 111.86/112.25 Kept: 128571
% 111.86/112.25 Inuse: 1565
% 111.86/112.25 Deleted: 3517
% 111.86/112.25 Deletedinuse: 6
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25
% 111.86/112.25 Intermediate Status:
% 111.86/112.25 Generated: 615958
% 111.86/112.25 Kept: 131635
% 111.86/112.25 Inuse: 1574
% 111.86/112.25 Deleted: 3521
% 111.86/112.25 Deletedinuse: 9
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 111.86/112.25 Done
% 111.86/112.25
% 111.86/112.25 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 630938
% 217.21/217.60 Kept: 133655
% 217.21/217.60 Inuse: 1592
% 217.21/217.60 Deleted: 3521
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 644009
% 217.21/217.60 Kept: 135832
% 217.21/217.60 Inuse: 1609
% 217.21/217.60 Deleted: 3521
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 654703
% 217.21/217.60 Kept: 137924
% 217.21/217.60 Inuse: 1629
% 217.21/217.60 Deleted: 3521
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 668931
% 217.21/217.60 Kept: 140422
% 217.21/217.60 Inuse: 1639
% 217.21/217.60 Deleted: 3521
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 680820
% 217.21/217.60 Kept: 142431
% 217.21/217.60 Inuse: 1645
% 217.21/217.60 Deleted: 3521
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 694123
% 217.21/217.60 Kept: 145067
% 217.21/217.60 Inuse: 1654
% 217.21/217.60 Deleted: 3521
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 705918
% 217.21/217.60 Kept: 147148
% 217.21/217.60 Inuse: 1659
% 217.21/217.60 Deleted: 3521
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying clauses:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 717980
% 217.21/217.60 Kept: 149253
% 217.21/217.60 Inuse: 1664
% 217.21/217.60 Deleted: 3998
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 726836
% 217.21/217.60 Kept: 151288
% 217.21/217.60 Inuse: 1679
% 217.21/217.60 Deleted: 3998
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 746105
% 217.21/217.60 Kept: 154700
% 217.21/217.60 Inuse: 1689
% 217.21/217.60 Deleted: 3998
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 762675
% 217.21/217.60 Kept: 156712
% 217.21/217.60 Inuse: 1727
% 217.21/217.60 Deleted: 3998
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 778112
% 217.21/217.60 Kept: 159041
% 217.21/217.60 Inuse: 1754
% 217.21/217.60 Deleted: 3998
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 812101
% 217.21/217.60 Kept: 161756
% 217.21/217.60 Inuse: 1759
% 217.21/217.60 Deleted: 3998
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 845925
% 217.21/217.60 Kept: 164425
% 217.21/217.60 Inuse: 1764
% 217.21/217.60 Deleted: 3998
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 856022
% 217.21/217.60 Kept: 167829
% 217.21/217.60 Inuse: 1771
% 217.21/217.60 Deleted: 3998
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying clauses:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 867631
% 217.21/217.60 Kept: 170199
% 217.21/217.60 Inuse: 1789
% 217.21/217.60 Deleted: 4589
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 884666
% 217.21/217.60 Kept: 173327
% 217.21/217.60 Inuse: 1799
% 217.21/217.60 Deleted: 4589
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 898098
% 217.21/217.60 Kept: 175572
% 217.21/217.60 Inuse: 1804
% 217.21/217.60 Deleted: 4589
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 927703
% 217.21/217.60 Kept: 178935
% 217.21/217.60 Inuse: 1819
% 217.21/217.60 Deleted: 4589
% 217.21/217.60 Deletedinuse: 9
% 217.21/217.60
% 217.21/217.60 Resimplifying inuse:
% 217.21/217.60 Done
% 217.21/217.60
% 217.21/217.60
% 217.21/217.60 Intermediate Status:
% 217.21/217.60 Generated: 940603
% 217.21/217.61 Kept: 181159
% 217.21/217.61 Inuse: 1824
% 217.21/217.61 Deleted: 4589
% 217.21/217.61 Deletedinuse: 9
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61
% 217.21/217.61 Intermediate Status:
% 217.21/217.61 Generated: 949547
% 217.21/217.61 Kept: 183212
% 217.21/217.61 Inuse: 1839
% 217.21/217.61 Deleted: 4589
% 217.21/217.61 Deletedinuse: 9
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61
% 217.21/217.61 Intermediate Status:
% 217.21/217.61 Generated: 959338
% 217.21/217.61 Kept: 185408
% 217.21/217.61 Inuse: 1854
% 217.21/217.61 Deleted: 4589
% 217.21/217.61 Deletedinuse: 9
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61
% 217.21/217.61 Intermediate Status:
% 217.21/217.61 Generated: 971761
% 217.21/217.61 Kept: 187962
% 217.21/217.61 Inuse: 1869
% 217.21/217.61 Deleted: 4589
% 217.21/217.61 Deletedinuse: 9
% 217.21/217.61
% 217.21/217.61 Resimplifying clauses:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61
% 217.21/217.61 Intermediate Status:
% 217.21/217.61 Generated: 984574
% 217.21/217.61 Kept: 190093
% 217.21/217.61 Inuse: 1884
% 217.21/217.61 Deleted: 5003
% 217.21/217.61 Deletedinuse: 9
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61
% 217.21/217.61 Intermediate Status:
% 217.21/217.61 Generated: 1001523
% 217.21/217.61 Kept: 192617
% 217.21/217.61 Inuse: 1899
% 217.21/217.61 Deleted: 5003
% 217.21/217.61 Deletedinuse: 9
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61 Resimplifying inuse:
% 217.21/217.61 Done
% 217.21/217.61
% 217.21/217.61
% 217.21/217.61 Intermediate Status:
% 217.21/217.61 Generated: 1016553
% 217.21/217.61 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------