%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV596-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 16:27:00 EDT 2022
% Result : Timeout 300.06s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV596-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Wed Jun 15 15:44:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.25/1.60 *** allocated 10000 integers for termspace/termends
% 1.25/1.60 *** allocated 10000 integers for clauses
% 1.25/1.60 *** allocated 10000 integers for justifications
% 1.25/1.60 *** allocated 15000 integers for termspace/termends
% 1.25/1.60 *** allocated 22500 integers for termspace/termends
% 1.25/1.60 *** allocated 33750 integers for termspace/termends
% 1.25/1.60 Bliksem 1.12
% 1.25/1.60
% 1.25/1.60
% 1.25/1.60 Automatic Strategy Selection
% 1.25/1.60
% 1.25/1.60 Clauses:
% 1.25/1.60 [
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.25/1.60 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.25/1.60 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.60 ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.25/1.60 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.25/1.60 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.25/1.60 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 1.25/1.60 , X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.25/1.60 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.25/1.60 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.25/1.60 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.25/1.60 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.60 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.25/1.60 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.25/1.60 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.60 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.60 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.60 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.25/1.60 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.25/1.60 ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 1.25/1.60 , 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.25/1.60 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.60 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.25/1.60 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.25/1.60 X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.25/1.60 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.25/1.60 Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.25/1.60 Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.25/1.60 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.25/1.60 X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.25/1.60 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.25/1.60 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 X ), T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.25/1.60 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.60 T, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.25/1.60 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.25/1.60 Y, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.25/1.60 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.60 T, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.25/1.60 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.25/1.60 Y, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.60 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.60 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.25/1.60 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.25/1.60 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.60 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.60 ) ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.25/1.60 ) ) ],
% 1.25/1.60 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.60 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.60 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.25/1.60 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.25/1.60 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.25/1.60 , X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.25/1.60 , X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.60 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.60 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.25/1.60 ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.25/1.60 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.25/1.60 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.60 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.25/1.60 , Z ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.25/1.60 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.25/1.60 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.25/1.60 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.25/1.60 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.25/1.60 X ) ],
% 1.25/1.60 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.25/1.60 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.60 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.25/1.60 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.60 ],
% 1.25/1.60 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.25/1.60 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.25/1.60 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.25/1.60 X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.60 , Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.25/1.60 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.25/1.60 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.60 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.60 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.25/1.60 X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.60 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.60 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.25/1.60 X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.25/1.60 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.25/1.60 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.25/1.60 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.25/1.60 ), =( Z, Y ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.60 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.25/1.60 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.25/1.60 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.60 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.25/1.60 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.60 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.25/1.60 , X ) ) ), =( Y, Z ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.25/1.60 , X ) ) ), =( Y, Z ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.25/1.60 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.60 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.25/1.60 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.60 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.60 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.25/1.60 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.25/1.60 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.25/1.60 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.25/1.60 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 1.25/1.60 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 1.25/1.60 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.25/1.60 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 1.25/1.60 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.25/1.60 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.25/1.60 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.25/1.60 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.25/1.60 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.25/1.60 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.25/1.60 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.25/1.60 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.60 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.25/1.60 Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.25/1.60 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.25/1.60 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.25/1.60 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.25/1.60 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.25/1.60 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.25/1.60 T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.25/1.60 X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.25/1.60 T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.60 X ), T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.25/1.60 T, X ), X ) ) ],
% 1.25/1.60 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.60 X ), T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.25/1.60 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.25/1.60 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.25/1.60 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.25/1.60 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.25/1.60 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 Y, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.60 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 1.25/1.60 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.25/1.60 [ 'c_HOL_Oeq__class_Oeq'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.25/1.60 ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.25/1.60 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.60 X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.25/1.60 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.60 X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.25/1.60 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.60 X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.25/1.60 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.60 X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 Y, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 Y, Z, X ) ) ],
% 1.25/1.60 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.25/1.60 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.25/1.60 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.25/1.60 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.25/1.60 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.60 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.25/1.60 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.25/1.60 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.60 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.25/1.60 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.25/1.60 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.60 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 1.25/1.60 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.25/1.60 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.25/1.60 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.60 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.25/1.60 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.25/1.60 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.25/1.60 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.60 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.25/1.60 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 Y, T, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.25/1.60 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 Y, T, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.25/1.60 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.25/1.60 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.25/1.60 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.25/1.60 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.60 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 1.25/1.60 [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.60 ), Y, 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 1.25/1.60 X ), X ), Y ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.60 ), X ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 Z, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.25/1.60 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.60 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.25/1.60 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.25/1.60 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.25/1.60 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.25/1.60 ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.60 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.60 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.25/1.60 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.25/1.60 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'( 'c_Log_Opowr'(
% 1.25/1.60 X, Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 1.25/1.60 ) ) ), =( X, Y ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.25/1.60 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.25/1.60 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y ),
% 1.25/1.60 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.25/1.60 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.25/1.60 ) ],
% 1.25/1.60 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.25/1.60 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.25/1.60 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.25/1.60 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.60 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.60 , T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.60 , Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.60 , T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.60 , Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.25/1.60 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.25/1.60 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.25/1.60 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.60 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.25/1.60 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.25/1.60 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.25/1.60 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.60 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.60 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.25/1.60 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.25/1.60 , X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.25/1.60 , T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.25/1.60 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.25/1.60 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 1.25/1.60 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.25/1.60 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.25/1.60 , X ), W, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.25/1.60 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.25/1.60 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.25/1.60 , X ), T, X ), W, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.60 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.25/1.60 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.60 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.25/1.60 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'(
% 1.25/1.60 'c_Log_Opowr'( X, Z ), Y ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.60 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.25/1.60 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.60 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.25/1.60 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 1.25/1.60 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 1.25/1.60 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.25/1.60 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 1.25/1.60 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.25/1.60 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.25/1.60 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 1.25/1.60 =( Y, Z ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.25/1.60 ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.60 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.25/1.60 , X ), Z, X ) ) ],
% 1.25/1.60 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.60 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.25/1.60 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 1.25/1.60 , X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.25/1.60 , X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.25/1.60 , X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.25/1.60 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.25/1.60 X ), X ), X ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.25/1.60 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.25/1.60 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.25/1.60 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.25/1.60 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.25/1.60 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.25/1.60 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.60 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 1.25/1.60 Z, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.25/1.60 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.25/1.60 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.25/1.60 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.25/1.60 X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.60 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.60 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.25/1.60 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Y, T, X ),
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Z, T, X ), 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( T, Y, X ),
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( T, Z, X ), 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.25/1.60 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.25/1.60 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 T, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.25/1.60 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.25/1.60 'c_lessequals'( Z, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.25/1.60 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.25/1.60 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 T, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.25/1.60 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.25/1.60 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.25/1.60 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 1.25/1.60 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, Z
% 1.25/1.60 , 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.60 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 1.25/1.60 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.25/1.60 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.25/1.60 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.25/1.60 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.60 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.60 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.25/1.60 X ) ) ), =( Z, T ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.25/1.60 X ) ) ), =( Z, T ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.25/1.60 X ) ) ), =( Y, T ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.25/1.60 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.25/1.60 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.25/1.60 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.25/1.60 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.25/1.60 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.25/1.60 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.25/1.60 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.25/1.60 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.60 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.25/1.60 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.25/1.60 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.25/1.60 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.25/1.60 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.25/1.60 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.25/1.60 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.25/1.60 ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.60 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.60 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.60 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.25/1.60 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 1.25/1.60 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.25/1.60 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.25/1.60 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.25/1.60 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 T, X ) ) ],
% 1.25/1.60 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.60 ],
% 1.25/1.60 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.25/1.60 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.25/1.60 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.25/1.60 ],
% 1.25/1.60 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.60 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.60 , Y, X ), X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.25/1.60 , Z, X ), X ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.25/1.60 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.25/1.60 , Z, X ), X ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.60 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.25/1.60 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.60 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.25/1.60 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.25/1.60 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.25/1.60 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.60 Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.60 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.60 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.25/1.60 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.25/1.60 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.25/1.60 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.60 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.60 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.25/1.60 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.25/1.60 ), X ) ],
% 1.25/1.60 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.60 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 1.25/1.60 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.60 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.25/1.60 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.25/1.60 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.25/1.60 ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.25/1.60 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.25/1.60 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.25/1.60 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.25/1.60 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.60 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.25/1.60 ), X ), Y ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.60 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.60 , 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.25/1.60 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.60 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.25/1.60 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.25/1.60 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.25/1.60 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.25/1.60 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.60 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.25/1.60 ,
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.60 , Y, X ) ) ],
% 1.25/1.60 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.60 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.60 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.60 , Y, X ) ) ],
% 1.25/1.60 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.60 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.60 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.25/1.60 , T, X ), X ), T, X ) ) ],
% 1.25/1.60 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.60 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.60 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.61 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.61 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.25/1.61 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.25/1.61 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.25/1.61 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.25/1.61 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.25/1.61 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.25/1.61 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.25/1.61 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.25/1.61 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.61 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.25/1.61 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.61 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 1.25/1.61 X ), X ), Y ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.25/1.61 , T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.25/1.61 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.25/1.61 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.25/1.61 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.25/1.61 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.61 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.61 Y, Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 1.25/1.61 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.61 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.61 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.25/1.61 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.25/1.61 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.25/1.61 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.25/1.61 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.25/1.61 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.25/1.61 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.25/1.61 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.25/1.61 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.25/1.61 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.25/1.61 , X ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.25/1.61 , 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 1.25/1.61 ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 1.25/1.61 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 1.25/1.61 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.25/1.61 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.61 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.25/1.61 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.25/1.61 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.25/1.61 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.25/1.61 , Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'(
% 1.25/1.61 Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.25/1.61 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.25/1.61 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.25/1.61 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.25/1.61 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 1.25/1.61 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.61 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.25/1.61 , Z, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.25/1.61 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.25/1.61 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.61 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.25/1.61 [ =( 'c_Log_Opowr'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), Z ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X
% 1.25/1.61 , Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.61 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.25/1.61 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.25/1.61 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.25/1.61 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.25/1.61 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.25/1.61 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.25/1.61 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.25/1.61 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.25/1.61 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.25/1.61 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.25/1.61 , X ), W, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.61 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.25/1.61 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.25/1.61 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 1.25/1.61 , 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 1.25/1.61 , 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.25/1.61 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 1.25/1.61 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 1.25/1.61 , ~( 'c_lessequals'( Y, W, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.25/1.61 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.61 'c_lessequals'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.25/1.61 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.61 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.61 'c_lessequals'( Z, Y, X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.25/1.61 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.25/1.61 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.25/1.61 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.25/1.61 'c_lessequals'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.25/1.61 'c_lessequals'( Y, Z, X ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.25/1.61 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.25/1.61 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.25/1.61 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 1.25/1.61 , X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 1.25/1.61 , X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 1.25/1.61 Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.25/1.61 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.25/1.61 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.25/1.61 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.25/1.61 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.25/1.61 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 1.25/1.61 , Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 1.25/1.61 , T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.61 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.25/1.61 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.25/1.61 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.25/1.61 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.25/1.61 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, X,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.25/1.61 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.25/1.61 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.25/1.61 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.25/1.61 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.25/1.61 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.25/1.61 , X ), X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.25/1.61 , X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.25/1.61 , X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.61 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.25/1.61 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.25/1.61 , 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.25/1.61 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.25/1.61 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 Y, T, X ), Z, X ) ) ],
% 1.25/1.61 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.25/1.61 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.61 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.61 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 1.25/1.61 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 1.25/1.61 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.25/1.61 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.25/1.61 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.25/1.61 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.25/1.61 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.25/1.61 , T, X ), X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.25/1.61 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 1.25/1.61 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.61 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 1.25/1.61 T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.25/1.61 T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 1.25/1.61 T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 1.25/1.61 T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.61 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.25/1.61 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.25/1.61 , Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.25/1.61 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , Z, X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.25/1.61 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.25/1.61 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , Z, X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.25/1.61 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.61 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.25/1.61 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.25/1.61 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , T, X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.25/1.61 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , T, X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.25/1.61 Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.61 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.25/1.61 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.25/1.61 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.25/1.61 W, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.25/1.61 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.25/1.61 , X ), T, X ), W, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.25/1.61 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.25/1.61 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.25/1.61 W, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.25/1.61 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.25/1.61 , X ), W, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.25/1.61 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.25/1.61 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.25/1.61 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 1.25/1.61 Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 1.25/1.61 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.25/1.61 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.25/1.61 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.61 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.25/1.61 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.61 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.25/1.61 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.61 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.25/1.61 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ =( 'c_Log_Opowr'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X, Y
% 1.25/1.61 ), 'c_Log_Opowr'( X, Z ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.25/1.61 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.25/1.61 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 1.25/1.61 X ), Z, X ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.25/1.61 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.25/1.61 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.25/1.61 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'( X,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.25/1.61 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.25/1.61 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.25/1.61 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.25/1.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.25/1.61 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.61 Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.61 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.25/1.61 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.25/1.61 , Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.25/1.61 , Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.25/1.61 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.25/1.61 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.25/1.61 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.25/1.61 'c_lessequals'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.25/1.61 'c_lessequals'( Y, Z, X ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.25/1.61 'c_lessequals'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.25/1.61 'c_RealVector_Oof__real'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.25/1.61 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.25/1.61 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.25/1.61 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.25/1.61 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.25/1.61 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.25/1.61 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 1.25/1.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 'c_Transcendental_Otan'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.25/1.61 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.25/1.61 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.25/1.61 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.25/1.61 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.25/1.61 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.25/1.61 , Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.25/1.61 ), Y ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.25/1.61 ), Y ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.25/1.61 ), Y ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.25/1.61 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.25/1.61 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.25/1.61 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , X ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.25/1.61 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.25/1.61 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.25/1.61 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.61 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.25/1.61 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.25/1.61 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.61 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.25/1.61 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.25/1.61 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.61 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.61 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.25/1.61 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.61 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.25/1.61 ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.25/1.61 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.25/1.61 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.25/1.61 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.25/1.61 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.25/1.61 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.25/1.61 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.25/1.61 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.25/1.61 'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.25/1.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.25/1.61 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.25/1.61 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.25/1.61 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.25/1.61 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.25/1.61 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.25/1.61 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.25/1.61 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.25/1.61 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.25/1.61 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.25/1.61 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.25/1.61 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.25/1.61 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.25/1.61 Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ), ~(
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 1.25/1.61 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.25/1.61 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.25/1.61 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.25/1.61 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.61 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.25/1.61 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.25/1.61 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.25/1.61 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.25/1.61 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.25/1.61 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.25/1.61 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.61 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.61 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Z, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Z, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.61 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.25/1.61 X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.25/1.61 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.25/1.61 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.25/1.61 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.25/1.61 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.25/1.61 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.25/1.61 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.25/1.61 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.25/1.61 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ =( 'c_Log_Opowr'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X )
% 1.25/1.61 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.61 ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.25/1.61 , T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.25/1.61 , T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.25/1.61 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.61 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 1.25/1.61 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 1.25/1.61 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.25/1.61 , X ), X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.25/1.61 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.25/1.61 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 1.25/1.61 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.25/1.61 ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.25/1.61 Y, X ), X ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.25/1.61 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.25/1.61 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.25/1.61 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.25/1.61 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.25/1.61 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.25/1.61 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.25/1.61 'c_lessequals'( Z, Y, X ) ],
% 1.25/1.61 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.25/1.61 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.25/1.61 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( =( 'c_Log_Opowr'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ) ],
% 1.25/1.61 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.25/1.61 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.25/1.61 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.61 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 1.25/1.61 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 1.25/1.61 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.25/1.61 X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.25/1.61 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.25/1.61 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 1.25/1.61 X ), Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 1.25/1.61 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.25/1.61 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 1.25/1.61 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 1.25/1.61 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.25/1.61 , T, X ), X ), T, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.25/1.61 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.25/1.61 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.25/1.61 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.25/1.61 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.25/1.61 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.25/1.61 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.25/1.61 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.25/1.61 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.61 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.25/1.61 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.25/1.61 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.25/1.61 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.25/1.61 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.25/1.61 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.25/1.61 ), Y ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.25/1.61 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.61 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.25/1.61 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.25/1.61 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.25/1.61 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.25/1.61 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.25/1.61 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.25/1.61 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.25/1.61 , U, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.25/1.61 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 Z, Y, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.25/1.61 ), Y ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.25/1.61 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 1.25/1.61 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.25/1.61 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ),
% 1.25/1.61 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.25/1.61 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.25/1.61 ), X ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.25/1.61 , X ), 'c_RealVector_OscaleR__class_OscaleR'( T, U, X ), X ),
% 1.25/1.61 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.25/1.61 , 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, T
% 1.25/1.61 , 'tc_RealDef_Oreal' ), U, X ), X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( T, 'c_HOL_Ominus__class_Ominus'( Z
% 1.25/1.61 , U, X ), X ), X ) ) ],
% 1.25/1.61 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.25/1.61 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.25/1.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( =( 'c_Transcendental_Ocos'( 'v_x' ), 'c_HOL_Oone__class_Oone'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x', 'c_Transcendental_Opi' ) ) ],
% 1.25/1.61 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.25/1.61 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.25/1.61 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.25/1.61 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.25/1.61 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.25/1.61 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.25/1.61 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.25/1.61 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.25/1.61 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.25/1.61 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.25/1.61 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.61 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.25/1.61 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.25/1.61 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 , X ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.25/1.61 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.25/1.61 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.25/1.61 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.25/1.61 ],
% 1.25/1.61 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.61 'c_HOL_Oeq__class_Oeq'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ),
% 1.25/1.61 'c_HOL_Oeq__class_Oeq'( X, Y, 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.25/1.61 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_RealDef_Oreal' ), X ),
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( 'c_RealVector_Oof__real'( Y, X ),
% 1.25/1.61 'c_RealVector_Oof__real'( Z, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.25/1.61 'c_RealVector_Oof__real'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.25/1.61 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 1.25/1.61 ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.25/1.61 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.25/1.61 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.25/1.61 , 'tc_RealDef_Oreal' ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ),
% 1.25/1.61 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ) ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 1.25/1.61 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.25/1.61 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.25/1.61 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.25/1.61 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.25/1.61 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.25/1.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( =( 'c_Transcendental_Osin'( 'v_x' ), 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'v_x',
% 1.25/1.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.25/1.61 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.25/1.61 ), 'v_x', 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ) ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.61 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.25/1.61 , T, X ) ) ), =( Z, T ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.25/1.61 , T, X ) ) ), =( Y, Z ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ), =( Y, Z ) ],
% 1.25/1.61 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.25/1.61 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.25/1.61 ) ), =( Y, Z ) ],
% 1.25/1.61 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.25/1.61 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( 'v_x',
% 1.25/1.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.25/1.61 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.25/1.61 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( 'v_x',
% 1.25/1.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.25/1.61 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( 'v_x',
% 1.25/1.61 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.25/1.61 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.25/1.61 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.25/1.61 ],
% 1.25/1.61 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.25/1.61 ) ],
% 1.25/1.61 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.25/1.61 ],
% 1.25/1.61 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.25/1.61 ,
% 1.25/1.61 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.25/1.61 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.25/1.61 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.25/1.61 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.25/1.62 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.25/1.62 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.25/1.62 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.25/1.62 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 1.25/1.62 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 1.25/1.62 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.25/1.62 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.25/1.62 ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.25/1.62 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.25/1.62 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.25/1.62 ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.25/1.62 ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.25/1.62 ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.25/1.62 ],
% 1.25/1.62 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ,
% 1.25/1.62 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_RealVector_Oreal__div__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.25/1.62 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ]
% 1.25/1.62 ] .
% 1.25/1.62
% 1.25/1.62
% 1.25/1.62 percentage equality = 0.207771, percentage horn = 0.882765
% 1.25/1.62 This is a problem with some equality
% 1.25/1.62
% 1.25/1.62
% 1.25/1.62
% 1.25/1.62 Options Used:
% 1.25/1.62
% 1.25/1.62 useres = 1
% 1.25/1.62 useparamod = 1
% 1.25/1.62 useeqrefl = 1
% 1.25/1.62 useeqfact = 1
% 1.25/1.62 usefactor = 1
% 1.25/1.62 usesimpsplitting = 0
% 1.25/1.62 usesimpdemod = 5
% 1.25/1.62 usesimpres = 3
% 1.25/1.62
% 1.25/1.62 resimpinuse = 1000
% 1.25/1.62 resimpclauses = 20000
% 1.25/1.62 substype = eqrewr
% 1.25/1.62 backwardsubs = 1
% 1.25/1.62 selectoldest = 5
% 1.25/1.62
% 1.25/1.62 litorderings [0] = split
% 1.25/1.62 litorderings [1] = extend the termordering, first sorting on arguments
% 1.25/1.62
% 1.25/1.62 termordering = kbo
% 1.25/1.62
% 1.25/1.62 litapriori = 0
% 1.25/1.62 termapriori = 1
% 1.25/1.62 litaposteriori = 0
% 1.25/1.62 termaposteriori = 0
% 1.25/1.62 demodaposteriori = 0
% 1.25/1.62 ordereqreflfact = 0
% 1.25/1.62
% 1.25/1.62 litselect = negord
% 1.25/1.62
% 1.25/1.62 maxweight = 15
% 1.25/1.62 maxdepth = 30000
% 1.25/1.62 maxlength = 115
% 1.25/1.62 maxnrvars = 195
% 1.25/1.62 excuselevel = 1
% 1.25/1.62 increasemaxweight = 1
% 1.25/1.62
% 1.25/1.62 maxselected = 10000000
% 1.25/1.62 maxnrclauses = 10000000
% 1.25/1.62
% 1.25/1.62 showgenerated = 0
% 1.25/1.62 showkept = 0
% 1.25/1.62 showselected = 0
% 1.25/1.62 showdeleted = 0
% 1.25/1.62 showresimp = 1
% 1.25/1.62 showstatus = 2000
% 1.25/1.62
% 1.25/1.62 prologoutput = 1
% 1.25/1.62 nrgoals = 5000000
% 1.25/1.62 totalproof = 1
% 1.25/1.62
% 1.25/1.62 Symbols occurring in the translation:
% 1.25/1.62
% 1.25/1.62 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.25/1.62 . [1, 2] (w:1, o:145, a:1, s:1, b:0),
% 1.25/1.62 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 1.25/1.62 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.62 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.25/1.62 'class_RealVector_Oreal__normed__field' [40, 1] (w:1, o:62, a:1, s:1
% 1.25/1.62 , b:0),
% 1.25/1.62 'c_HOL_Oinverse__class_Oinverse' [42, 2] (w:1, o:170, a:1, s:1, b:0)
% 1.25/1.62 ,
% 1.25/1.62 'c_HOL_Ominus__class_Ominus' [44, 3] (w:1, o:181, a:1, s:1, b:0),
% 1.25/1.62 'c_HOL_Oinverse__class_Odivide' [46, 3] (w:1, o:182, a:1, s:1, b:0),
% 1.25/1.62
% 1.25/1.62 'c_HOL_Otimes__class_Otimes' [47, 3] (w:1, o:183, a:1, s:1, b:0),
% 1.25/1.62 'c_HOL_Ouminus__class_Ouminus' [48, 2] (w:1, o:171, a:1, s:1, b:0),
% 1.25/1.62 'c_HOL_Ozero__class_Ozero' [49, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.25/1.62 'class_Ring__and__Field_Oordered__field' [50, 1] (w:1, o:65, a:1, s:1
% 1.25/1.62 , b:0),
% 1.25/1.62 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:184, a:1, s:1, b:0),
% 1.25/1.62 'class_Ring__and__Field_Ofield' [52, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.25/1.62 'class_Ring__and__Field_Odivision__by__zero' [53, 1] (w:1, o:71, a:1
% 1.25/1.62 , s:1, b:0),
% 1.25/1.62 'class_Orderings_Olinorder' [54, 1] (w:1, o:72, a:1, s:1, b:0),
% 1.25/1.62 'class_OrderedGroup_Olordered__ab__group__add' [55, 1] (w:1, o:73, a:
% 1.25/1.62 1, s:1, b:0),
% 1.25/1.62 'c_Orderings_Oord__class_Omax' [58, 3] (w:1, o:185, a:1, s:1, b:0),
% 1.25/1.62 'c_Orderings_Oord__class_Omin' [59, 3] (w:1, o:186, a:1, s:1, b:0),
% 1.25/1.62 'class_Ring__and__Field_Omult__mono1' [60, 1] (w:1, o:75, a:1, s:1
% 1.25/1.62 , b:0),
% 1.25/1.62 'c_lessequals' [62, 3] (w:1, o:187, a:1, s:1, b:0),
% 1.25/1.62 'class_Ring__and__Field_Omult__mono' [63, 1] (w:1, o:76, a:1, s:1, b:
% 1.25/1.62 0),
% 1.25/1.62 'class_Ring__and__Field_Opordered__ring' [64, 1] (w:1, o:83, a:1, s:1
% 1.25/1.62 , b:0),
% 1.25/1.62 'c_Lattices_Oupper__semilattice__class_Osup' [65, 3] (w:1, o:188, a:1
% 1.25/1.62 , s:1, b:0),
% 1.25/1.62 'tc_RealDef_Oreal' [66, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.25/1.62 'c_HOL_Oone__class_Oone' [67, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.25/1.62 'c_Log_Opowr' [68, 2] (w:1, o:172, a:1, s:1, b:0),
% 1.25/1.62 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [69, 2] (w:1
% 1.25/1.62 , o:174, a:1, s:1, b:0),
% 1.25/1.62 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [70, 2] (w:1
% 1.25/1.62 , o:175, a:1, s:1, b:0),
% 1.25/1.62 'c_HOL_Oplus__class_Oplus' [71, 3] (w:1, o:189, a:1, s:1, b:0),
% 1.25/1.62 'class_Ring__and__Field_Oidom' [72, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.25/1.62 'class_Int_Onumber__ring' [73, 1] (w:1, o:87, a:1, s:1, b:0),
% 1.25/1.62 'class_Ring__and__Field_Oordered__ring__strict' [76, 1] (w:1, o:77
% 1.25/1.62 , a:1, s:1, b:0),
% 1.25/1.62 'class_RealVector_Oreal__vector' [77, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.25/1.62
% 1.25/1.62 'c_RealVector_OscaleR__class_OscaleR' [78, 3] (w:1, o:190, a:1, s:1
% 1.25/1.62 , b:0),
% 1.25/1.62 'class_Ring__and__Field_Odivision__ring' [79, 1] (w:1, o:89, a:1, s:1
% 1.25/1.62 , b:0),
% 1.25/1.62 'class_Lattices_Oupper__semilattice' [81, 1] (w:1, o:90, a:1, s:1, b:
% 1.25/1.62 0),
% 1.25/1.62 'class_RealVector_Ometric__space' [82, 1] (w:1, o:91, a:1, s:1, b:0)
% 1.25/1.62 ,
% 1.25/1.62 'c_RealVector_Odist__class_Odist' [83, 3] (w:1, o:191, a:1, s:1, b:0)
% 1.25/1.62 ,
% 1.25/1.62 'class_OrderedGroup_Oab__semigroup__idem__mult' [84, 1] (w:1, o:92
% 1.25/1.62 , a:1, s:1, b:0),
% 1.25/1.62 'class_Ring__and__Field_Oordered__semiring__strict' [85, 1] (w:1, o:
% 1.25/1.62 78, a:1, s:1, b:0),
% 1.25/1.62 'class_RealVector_Oreal__algebra__1' [86, 1] (w:1, o:93, a:1, s:1, b:
% 1.25/1.62 0),
% 1.25/1.62 'c_RealVector_Oof__real' [87, 2] (w:1, o:177, a:1, s:1, b:0),
% 1.25/1.62 'class_Divides_Osemiring__div' [88, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.25/1.62 'c_Divides_Odiv__class_Omod' [89, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.25/1.62 'c_NthRoot_Osqrt' [90, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.25/1.62 'class_Ring__and__Field_Oordered__semidom' [91, 1] (w:1, o:79, a:1
% 1.25/1.62 , s:1, b:0),
% 1.25/1.62 'class_RealVector_Oreal__div__algebra' [92, 1] (w:1, o:97, a:1, s:1
% 1.25/1.62 , b:0),
% 1.25/1.62 'class_Ring__and__Field_Ocomm__semiring__1' [93, 1] (w:1, o:69, a:1
% 1.25/1.62 , s:1, b:0),
% 1.25/1.62 'c_Ring__and__Field_Odvd__class_Odvd' [94, 3] (w:1, o:193, a:1, s:1
% 1.25/1.62 , b:0),
% 1.25/1.62 'class_Lattices_Odistrib__lattice' [95, 1] (w:1, o:98, a:1, s:1, b:0)
% 1.25/1.62 ,
% 1.25/1.62 'c_Lattices_Olower__semilattice__class_Oinf' [96, 3] (w:1, o:194, a:1
% 1.25/1.62 , s:1, b:0),
% 1.25/1.62 'class_OrderedGroup_Ogroup__add' [97, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.25/1.62
% 1.25/1.62 'class_OrderedGroup_Opordered__ab__group__add__abs' [98, 1] (w:1, o:
% 1.25/1.62 101, a:1, s:1, b:0),
% 1.25/1.62 'c_HOL_Oabs__class_Oabs' [99, 2] (w:1, o:178, a:1, s:1, b:0),
% 1.25/1.62 'c_Transcendental_Ocos' [100, 1] (w:1, o:102, a:1, s:1, b:0),
% 5.61/5.96 'class_Ring__and__Field_Oordered__idom' [101, 1] (w:1, o:80, a:1, s:1
% 5.61/5.96 , b:0),
% 5.61/5.96 'tc_nat' [103, 0] (w:1, o:35, a:1, s:1, b:0),
% 5.61/5.96 'c_RealDef_Oreal' [104, 2] (w:1, o:179, a:1, s:1, b:0),
% 5.61/5.96 'c_Transcendental_Opi' [105, 0] (w:1, o:36, a:1, s:1, b:0),
% 5.61/5.96 'c_Transcendental_Otan' [106, 1] (w:1, o:104, a:1, s:1, b:0),
% 5.61/5.96 'class_Lattices_Olower__semilattice' [107, 1] (w:1, o:105, a:1, s:1
% 5.61/5.96 , b:0),
% 5.61/5.96 'class_Lattices_Olattice' [108, 1] (w:1, o:106, a:1, s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Opordered__ab__group__add' [109, 1] (w:1, o:107
% 5.61/5.96 , a:1, s:1, b:0),
% 5.61/5.96 'class_Ring__and__Field_Oring' [110, 1] (w:1, o:108, a:1, s:1, b:0),
% 5.61/5.96
% 5.61/5.96 'class_Ring__and__Field_Opordered__ring__abs' [112, 1] (w:1, o:109
% 5.61/5.96 , a:1, s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [113, 1]
% 5.61/5.96 (w:1, o:110, a:1, s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Opordered__ab__semigroup__add' [114, 1] (w:1, o:
% 5.61/5.96 111, a:1, s:1, b:0),
% 5.61/5.96 'class_RealVector_Oreal__normed__vector' [115, 1] (w:1, o:112, a:1
% 5.61/5.96 , s:1, b:0),
% 5.61/5.96 'c_RealVector_Onorm__class_Onorm' [116, 2] (w:1, o:176, a:1, s:1, b:0
% 5.61/5.96 ),
% 5.61/5.96 'class_Orderings_Oorder' [117, 1] (w:1, o:113, a:1, s:1, b:0),
% 5.61/5.96 'class_Lattices_Oboolean__algebra' [118, 1] (w:1, o:114, a:1, s:1, b:
% 5.61/5.96 0),
% 5.61/5.96 'class_OrderedGroup_Olordered__ab__group__add__abs' [119, 1] (w:1, o:
% 5.61/5.96 115, a:1, s:1, b:0),
% 5.61/5.96 'class_Ring__and__Field_Odvd' [121, 1] (w:1, o:116, a:1, s:1, b:0),
% 5.61/5.96 'class_Ring__and__Field_Ocomm__ring' [122, 1] (w:1, o:67, a:1, s:1
% 5.61/5.96 , b:0),
% 5.61/5.96 'class_Ring__and__Field_Opordered__cancel__semiring' [126, 1] (w:1
% 5.61/5.96 , o:117, a:1, s:1, b:0),
% 5.61/5.96 'class_RealVector_Oreal__normed__algebra' [127, 1] (w:1, o:118, a:1
% 5.61/5.96 , s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Oab__semigroup__mult' [128, 1] (w:1, o:119, a:1
% 5.61/5.96 , s:1, b:0),
% 5.61/5.96 'class_Ring__and__Field_Ocomm__semiring' [140, 1] (w:1, o:70, a:1, s:
% 5.61/5.96 1, b:0),
% 5.61/5.96 'c_Transcendental_Osin' [141, 1] (w:1, o:103, a:1, s:1, b:0),
% 5.61/5.96 'c_HOL_Oeq__class_Oeq' [142, 3] (w:1, o:195, a:1, s:1, b:0),
% 5.61/5.96 'class_HOL_Oeq' [143, 1] (w:1, o:86, a:1, s:1, b:0),
% 5.61/5.96 'class_Ring__and__Field_Opordered__semiring' [145, 1] (w:1, o:120, a:
% 5.61/5.96 1, s:1, b:0),
% 5.61/5.96 'class_Divides_Oring__div' [146, 1] (w:1, o:94, a:1, s:1, b:0),
% 5.61/5.96 'c_NthRoot_Oroot' [147, 2] (w:1, o:173, a:1, s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Opordered__comm__monoid__add' [148, 1] (w:1, o:
% 5.61/5.96 121, a:1, s:1, b:0),
% 5.61/5.96 'class_Ring__and__Field_Oabs__if' [149, 1] (w:1, o:122, a:1, s:1, b:0
% 5.61/5.96 ),
% 5.61/5.96 'class_Ring__and__Field_Oordered__semiring' [150, 1] (w:1, o:81, a:1
% 5.61/5.96 , s:1, b:0),
% 5.61/5.96 'c_Transcendental_Oarctan' [151, 1] (w:1, o:123, a:1, s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Ocomm__monoid__add' [153, 1] (w:1, o:124, a:1, s:
% 5.61/5.96 1, b:0),
% 5.61/5.96 'class_Ring__and__Field_Olordered__ring' [154, 1] (w:1, o:74, a:1, s:
% 5.61/5.96 1, b:0),
% 5.61/5.96 'class_OrderedGroup_Oab__group__add' [155, 1] (w:1, o:125, a:1, s:1
% 5.61/5.96 , b:0),
% 5.61/5.96 'class_Ring__and__Field_Ocomm__ring__1' [156, 1] (w:1, o:68, a:1, s:1
% 5.61/5.96 , b:0),
% 5.61/5.96 'class_OrderedGroup_Ocancel__ab__semigroup__add' [159, 1] (w:1, o:126
% 5.61/5.96 , a:1, s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Ocancel__semigroup__add' [160, 1] (w:1, o:127, a:
% 5.61/5.96 1, s:1, b:0),
% 5.61/5.96 'class_RealVector_Oreal__normed__div__algebra' [161, 1] (w:1, o:128
% 5.61/5.96 , a:1, s:1, b:0),
% 5.61/5.96 'class_RealVector_Oreal__normed__algebra__1' [162, 1] (w:1, o:129, a:
% 5.61/5.96 1, s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Omonoid__mult' [163, 1] (w:1, o:132, a:1, s:1, b:
% 5.61/5.96 0),
% 5.61/5.96 'class_OrderedGroup_Ocomm__monoid__mult' [164, 1] (w:1, o:133, a:1
% 5.61/5.96 , s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Olordered__ab__group__add__join' [165, 1] (w:1
% 5.61/5.96 , o:130, a:1, s:1, b:0),
% 5.61/5.96 'class_Orderings_Opreorder' [166, 1] (w:1, o:134, a:1, s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Oab__semigroup__add' [167, 1] (w:1, o:135, a:1
% 5.61/5.96 , s:1, b:0),
% 5.61/5.96 'class_OrderedGroup_Olordered__ab__group__add__meet' [168, 1] (w:1
% 5.61/5.96 , o:131, a:1, s:1, b:0),
% 5.61/5.96 'class_RealVector_Oreal__algebra' [169, 1] (w:1, o:136, a:1, s:1, b:0
% 5.61/5.96 ),
% 5.61/5.96 'class_RealVector_Oreal__field' [175, 1] (w:1, o:137, a:1, s:1, b:0)
% 30.18/30.57 ,
% 30.18/30.57 'class_OrderedGroup_Oordered__ab__group__add' [176, 1] (w:1, o:100
% 30.18/30.57 , a:1, s:1, b:0),
% 30.18/30.57 'class_Ring__and__Field_Osemiring' [179, 1] (w:1, o:139, a:1, s:1, b:
% 30.18/30.57 0),
% 30.18/30.57 'class_Ring__and__Field_Oordered__comm__semiring__strict' [180, 1]
% 30.18/30.57 (w:1, o:82, a:1, s:1, b:0),
% 30.18/30.57 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [181, 1]
% 30.18/30.57 (w:1, o:140, a:1, s:1, b:0),
% 30.18/30.57 'c_Fun_Oid' [182, 2] (w:1, o:180, a:1, s:1, b:0),
% 30.18/30.57 'class_Ring__and__Field_Oring__no__zero__divisors' [183, 1] (w:1, o:
% 30.18/30.57 138, a:1, s:1, b:0),
% 30.18/30.57 'class_Ring__and__Field_Omult__zero' [184, 1] (w:1, o:141, a:1, s:1
% 30.18/30.57 , b:0),
% 30.18/30.57 'class_Ring__and__Field_Ozero__neq__one' [185, 1] (w:1, o:142, a:1
% 30.18/30.57 , s:1, b:0),
% 30.18/30.57 'class_Ring__and__Field_Ono__zero__divisors' [186, 1] (w:1, o:64, a:1
% 30.18/30.57 , s:1, b:0),
% 30.18/30.57 'class_OrderedGroup_Omonoid__add' [187, 1] (w:1, o:143, a:1, s:1, b:0
% 30.18/30.57 ),
% 30.18/30.57 'class_RealVector_Odist__norm' [190, 1] (w:1, o:144, a:1, s:1, b:0),
% 30.18/30.57
% 30.18/30.57 't_a' [194, 0] (w:1, o:55, a:1, s:1, b:0),
% 30.18/30.57 'v_x' [195, 0] (w:1, o:56, a:1, s:1, b:0).
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Starting Search:
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 5703
% 30.18/30.57 Kept: 2099
% 30.18/30.57 Inuse: 71
% 30.18/30.57 Deleted: 0
% 30.18/30.57 Deletedinuse: 0
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 10445
% 30.18/30.57 Kept: 4101
% 30.18/30.57 Inuse: 169
% 30.18/30.57 Deleted: 2
% 30.18/30.57 Deletedinuse: 0
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 18522
% 30.18/30.57 Kept: 6117
% 30.18/30.57 Inuse: 248
% 30.18/30.57 Deleted: 3
% 30.18/30.57 Deletedinuse: 0
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 26792
% 30.18/30.57 Kept: 8120
% 30.18/30.57 Inuse: 327
% 30.18/30.57 Deleted: 3
% 30.18/30.57 Deletedinuse: 0
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 36029
% 30.18/30.57 Kept: 10123
% 30.18/30.57 Inuse: 392
% 30.18/30.57 Deleted: 3
% 30.18/30.57 Deletedinuse: 0
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 44820
% 30.18/30.57 Kept: 12123
% 30.18/30.57 Inuse: 460
% 30.18/30.57 Deleted: 5
% 30.18/30.57 Deletedinuse: 0
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 60059
% 30.18/30.57 Kept: 14428
% 30.18/30.57 Inuse: 536
% 30.18/30.57 Deleted: 5
% 30.18/30.57 Deletedinuse: 0
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 75016
% 30.18/30.57 Kept: 16868
% 30.18/30.57 Inuse: 550
% 30.18/30.57 Deleted: 7
% 30.18/30.57 Deletedinuse: 1
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 86856
% 30.18/30.57 Kept: 18921
% 30.18/30.57 Inuse: 575
% 30.18/30.57 Deleted: 7
% 30.18/30.57 Deletedinuse: 1
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying clauses:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 97578
% 30.18/30.57 Kept: 20989
% 30.18/30.57 Inuse: 620
% 30.18/30.57 Deleted: 469
% 30.18/30.57 Deletedinuse: 1
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 109477
% 30.18/30.57 Kept: 23695
% 30.18/30.57 Inuse: 645
% 30.18/30.57 Deleted: 469
% 30.18/30.57 Deletedinuse: 1
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 115775
% 30.18/30.57 Kept: 26048
% 30.18/30.57 Inuse: 650
% 30.18/30.57 Deleted: 469
% 30.18/30.57 Deletedinuse: 1
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 126719
% 30.18/30.57 Kept: 28144
% 30.18/30.57 Inuse: 675
% 30.18/30.57 Deleted: 469
% 30.18/30.57 Deletedinuse: 1
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 146725
% 30.18/30.57 Kept: 31352
% 30.18/30.57 Inuse: 710
% 30.18/30.57 Deleted: 469
% 30.18/30.57 Deletedinuse: 1
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 161192
% 30.18/30.57 Kept: 33440
% 30.18/30.57 Inuse: 770
% 30.18/30.57 Deleted: 469
% 30.18/30.57 Deletedinuse: 1
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 176047
% 30.18/30.57 Kept: 35461
% 30.18/30.57 Inuse: 825
% 30.18/30.57 Deleted: 469
% 30.18/30.57 Deletedinuse: 1
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 186518
% 30.18/30.57 Kept: 37462
% 30.18/30.57 Inuse: 864
% 30.18/30.57 Deleted: 474
% 30.18/30.57 Deletedinuse: 4
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57 Resimplifying inuse:
% 30.18/30.57 Done
% 30.18/30.57
% 30.18/30.57
% 30.18/30.57 Intermediate Status:
% 30.18/30.57 Generated: 200706
% 30.18/30.57 Kept: 39678
% 30.18/30.57 Inuse: 892
% 30.18/30.57 Deleted: 481
% 30.18/30.57 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying clauses:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 212979
% 69.29/69.70 Kept: 41681
% 69.29/69.70 Inuse: 904
% 69.29/69.70 Deleted: 1164
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 223084
% 69.29/69.70 Kept: 43866
% 69.29/69.70 Inuse: 910
% 69.29/69.70 Deleted: 1164
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 236013
% 69.29/69.70 Kept: 45931
% 69.29/69.70 Inuse: 950
% 69.29/69.70 Deleted: 1164
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 247402
% 69.29/69.70 Kept: 48017
% 69.29/69.70 Inuse: 985
% 69.29/69.70 Deleted: 1164
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 263312
% 69.29/69.70 Kept: 50229
% 69.29/69.70 Inuse: 1025
% 69.29/69.70 Deleted: 1164
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 285488
% 69.29/69.70 Kept: 52976
% 69.29/69.70 Inuse: 1050
% 69.29/69.70 Deleted: 1164
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 298915
% 69.29/69.70 Kept: 55195
% 69.29/69.70 Inuse: 1095
% 69.29/69.70 Deleted: 1164
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 311827
% 69.29/69.70 Kept: 57348
% 69.29/69.70 Inuse: 1133
% 69.29/69.70 Deleted: 1166
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 326814
% 69.29/69.70 Kept: 60363
% 69.29/69.70 Inuse: 1143
% 69.29/69.70 Deleted: 1166
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying clauses:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 344527
% 69.29/69.70 Kept: 62520
% 69.29/69.70 Inuse: 1153
% 69.29/69.70 Deleted: 1817
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 375639
% 69.29/69.70 Kept: 66042
% 69.29/69.70 Inuse: 1183
% 69.29/69.70 Deleted: 1817
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 387222
% 69.29/69.70 Kept: 68226
% 69.29/69.70 Inuse: 1213
% 69.29/69.70 Deleted: 1817
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 397994
% 69.29/69.70 Kept: 70649
% 69.29/69.70 Inuse: 1228
% 69.29/69.70 Deleted: 1817
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 409754
% 69.29/69.70 Kept: 72727
% 69.29/69.70 Inuse: 1258
% 69.29/69.70 Deleted: 1817
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 421622
% 69.29/69.70 Kept: 75211
% 69.29/69.70 Inuse: 1288
% 69.29/69.70 Deleted: 1817
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 433550
% 69.29/69.70 Kept: 77216
% 69.29/69.70 Inuse: 1320
% 69.29/69.70 Deleted: 1817
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 448486
% 69.29/69.70 Kept: 79405
% 69.29/69.70 Inuse: 1363
% 69.29/69.70 Deleted: 1817
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 462840
% 69.29/69.70 Kept: 81423
% 69.29/69.70 Inuse: 1372
% 69.29/69.70 Deleted: 1817
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying clauses:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 472287
% 69.29/69.70 Kept: 83623
% 69.29/69.70 Inuse: 1398
% 69.29/69.70 Deleted: 2360
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 486662
% 69.29/69.70 Kept: 85995
% 69.29/69.70 Inuse: 1428
% 69.29/69.70 Deleted: 2360
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 501223
% 69.29/69.70 Kept: 88164
% 69.29/69.70 Inuse: 1468
% 69.29/69.70 Deleted: 2360
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 528510
% 69.29/69.70 Kept: 90913
% 69.29/69.70 Inuse: 1478
% 69.29/69.70 Deleted: 2360
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 543834
% 69.29/69.70 Kept: 93237
% 69.29/69.70 Inuse: 1498
% 69.29/69.70 Deleted: 2360
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 69.29/69.70 Generated: 571557
% 69.29/69.70 Kept: 96016
% 69.29/69.70 Inuse: 1513
% 69.29/69.70 Deleted: 2360
% 69.29/69.70 Deletedinuse: 10
% 69.29/69.70
% 69.29/69.70 Resimplifying inuse:
% 69.29/69.70 Done
% 69.29/69.70
% 69.29/69.70
% 69.29/69.70 Intermediate Status:
% 133.23/133.62 Generated: 599195
% 133.23/133.62 Kept: 98666
% 133.23/133.62 Inuse: 1518
% 133.23/133.62 Deleted: 2360
% 133.23/133.62 Deletedinuse: 10
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 615769
% 133.23/133.62 Kept: 100754
% 133.23/133.62 Inuse: 1563
% 133.23/133.62 Deleted: 2360
% 133.23/133.62 Deletedinuse: 10
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying clauses:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 626877
% 133.23/133.62 Kept: 102770
% 133.23/133.62 Inuse: 1590
% 133.23/133.62 Deleted: 2853
% 133.23/133.62 Deletedinuse: 10
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 638022
% 133.23/133.62 Kept: 105003
% 133.23/133.62 Inuse: 1613
% 133.23/133.62 Deleted: 2853
% 133.23/133.62 Deletedinuse: 10
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 652687
% 133.23/133.62 Kept: 107079
% 133.23/133.62 Inuse: 1643
% 133.23/133.62 Deleted: 2853
% 133.23/133.62 Deletedinuse: 10
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 690916
% 133.23/133.62 Kept: 110014
% 133.23/133.62 Inuse: 1668
% 133.23/133.62 Deleted: 2854
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 723847
% 133.23/133.62 Kept: 112630
% 133.23/133.62 Inuse: 1678
% 133.23/133.62 Deleted: 2854
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 765548
% 133.23/133.62 Kept: 117297
% 133.23/133.62 Inuse: 1708
% 133.23/133.62 Deleted: 2854
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 777117
% 133.23/133.62 Kept: 119362
% 133.23/133.62 Inuse: 1728
% 133.23/133.62 Deleted: 2854
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 794748
% 133.23/133.62 Kept: 121845
% 133.23/133.62 Inuse: 1743
% 133.23/133.62 Deleted: 2854
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying clauses:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 807816
% 133.23/133.62 Kept: 123969
% 133.23/133.62 Inuse: 1773
% 133.23/133.62 Deleted: 3203
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 818419
% 133.23/133.62 Kept: 125972
% 133.23/133.62 Inuse: 1793
% 133.23/133.62 Deleted: 3203
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 834252
% 133.23/133.62 Kept: 128446
% 133.23/133.62 Inuse: 1823
% 133.23/133.62 Deleted: 3203
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 849450
% 133.23/133.62 Kept: 130462
% 133.23/133.62 Inuse: 1852
% 133.23/133.62 Deleted: 3203
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 867940
% 133.23/133.62 Kept: 132526
% 133.23/133.62 Inuse: 1893
% 133.23/133.62 Deleted: 3203
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 886055
% 133.23/133.62 Kept: 134821
% 133.23/133.62 Inuse: 1908
% 133.23/133.62 Deleted: 3203
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 899958
% 133.23/133.62 Kept: 136866
% 133.23/133.62 Inuse: 1933
% 133.23/133.62 Deleted: 3203
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 915831
% 133.23/133.62 Kept: 138980
% 133.23/133.62 Inuse: 1963
% 133.23/133.62 Deleted: 3203
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 938614
% 133.23/133.62 Kept: 141121
% 133.23/133.62 Inuse: 2003
% 133.23/133.62 Deleted: 3203
% 133.23/133.62 Deletedinuse: 11
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying clauses:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 953488
% 133.23/133.62 Kept: 143209
% 133.23/133.62 Inuse: 2028
% 133.23/133.62 Deleted: 4988
% 133.23/133.62 Deletedinuse: 32
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 966469
% 133.23/133.62 Kept: 145261
% 133.23/133.62 Inuse: 2056
% 133.23/133.62 Deleted: 4996
% 133.23/133.62 Deletedinuse: 38
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 987641
% 133.23/133.62 Kept: 149361
% 133.23/133.62 Inuse: 2081
% 133.23/133.62 Deleted: 5004
% 133.23/133.62 Deletedinuse: 46
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 1000449
% 133.23/133.62 Kept: 151488
% 133.23/133.62 Inuse: 2101
% 133.23/133.62 Deleted: 5004
% 133.23/133.62 Deletedinuse: 46
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62 Resimplifying inuse:
% 133.23/133.62 Done
% 133.23/133.62
% 133.23/133.62
% 133.23/133.62 Intermediate Status:
% 133.23/133.62 Generated: 1014376
% 133.23/133.62 Kept: 153920
% 133.23/133.62 Inuse: 2126
% 133.23/133.62 Deleted: 5004
% 234.13/234.59 Deletedinuse: 46
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1023308
% 234.13/234.59 Kept: 155955
% 234.13/234.59 Inuse: 2141
% 234.13/234.59 Deleted: 5004
% 234.13/234.59 Deletedinuse: 46
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1033836
% 234.13/234.59 Kept: 158277
% 234.13/234.59 Inuse: 2158
% 234.13/234.59 Deleted: 5009
% 234.13/234.59 Deletedinuse: 48
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1049371
% 234.13/234.59 Kept: 160295
% 234.13/234.59 Inuse: 2191
% 234.13/234.59 Deleted: 5018
% 234.13/234.59 Deletedinuse: 49
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1065994
% 234.13/234.59 Kept: 162319
% 234.13/234.59 Inuse: 2223
% 234.13/234.59 Deleted: 5022
% 234.13/234.59 Deletedinuse: 50
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying clauses:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1080251
% 234.13/234.59 Kept: 164568
% 234.13/234.59 Inuse: 2246
% 234.13/234.59 Deleted: 10129
% 234.13/234.59 Deletedinuse: 55
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1107634
% 234.13/234.59 Kept: 168151
% 234.13/234.59 Inuse: 2256
% 234.13/234.59 Deleted: 10135
% 234.13/234.59 Deletedinuse: 61
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1123857
% 234.13/234.59 Kept: 170510
% 234.13/234.59 Inuse: 2266
% 234.13/234.59 Deleted: 10135
% 234.13/234.59 Deletedinuse: 61
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1153364
% 234.13/234.59 Kept: 174222
% 234.13/234.59 Inuse: 2276
% 234.13/234.59 Deleted: 10137
% 234.13/234.59 Deletedinuse: 63
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1166924
% 234.13/234.59 Kept: 176526
% 234.13/234.59 Inuse: 2304
% 234.13/234.59 Deleted: 10139
% 234.13/234.59 Deletedinuse: 63
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1177517
% 234.13/234.59 Kept: 178598
% 234.13/234.59 Inuse: 2322
% 234.13/234.59 Deleted: 10141
% 234.13/234.59 Deletedinuse: 63
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1190174
% 234.13/234.59 Kept: 180604
% 234.13/234.59 Inuse: 2345
% 234.13/234.59 Deleted: 10141
% 234.13/234.59 Deletedinuse: 63
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1201924
% 234.13/234.59 Kept: 182788
% 234.13/234.59 Inuse: 2362
% 234.13/234.59 Deleted: 10141
% 234.13/234.59 Deletedinuse: 63
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying clauses:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1223195
% 234.13/234.59 Kept: 186147
% 234.13/234.59 Inuse: 2377
% 234.13/234.59 Deleted: 11134
% 234.13/234.59 Deletedinuse: 63
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1246626
% 234.13/234.59 Kept: 190306
% 234.13/234.59 Inuse: 2379
% 234.13/234.59 Deleted: 11138
% 234.13/234.59 Deletedinuse: 67
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1253507
% 234.13/234.59 Kept: 192423
% 234.13/234.59 Inuse: 2397
% 234.13/234.59 Deleted: 11361
% 234.13/234.59 Deletedinuse: 290
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1261682
% 234.13/234.59 Kept: 195003
% 234.13/234.59 Inuse: 2422
% 234.13/234.59 Deleted: 11361
% 234.13/234.59 Deletedinuse: 290
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1270668
% 234.13/234.59 Kept: 197259
% 234.13/234.59 Inuse: 2446
% 234.13/234.59 Deleted: 11362
% 234.13/234.59 Deletedinuse: 290
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1277495
% 234.13/234.59 Kept: 199271
% 234.13/234.59 Inuse: 2470
% 234.13/234.59 Deleted: 11362
% 234.13/234.59 Deletedinuse: 290
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1284247
% 234.13/234.59 Kept: 201557
% 234.13/234.59 Inuse: 2491
% 234.13/234.59 Deleted: 11362
% 234.13/234.59 Deletedinuse: 290
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1304984
% 234.13/234.59 Kept: 205654
% 234.13/234.59 Inuse: 2516
% 234.13/234.59 Deleted: 11362
% 234.13/234.59 Deletedinuse: 290
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying clauses:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1318587
% 234.13/234.59 Kept: 208603
% 234.13/234.59 Inuse: 2521
% 234.13/234.59 Deleted: 19805
% 234.13/234.59 Deletedinuse: 290
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1330959
% 234.13/234.59 Kept: 210658
% 234.13/234.59 Inuse: 2554
% 234.13/234.59 Deleted: 19822
% 234.13/234.59 Deletedinuse: 307
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1347882
% 234.13/234.59 Kept: 212713
% 234.13/234.59 Inuse: 2557
% 234.13/234.59 Deleted: 19822
% 234.13/234.59 Deletedinuse: 307
% 234.13/234.59
% 234.13/234.59 Resimplifying inuse:
% 234.13/234.59 Done
% 234.13/234.59
% 234.13/234.59
% 234.13/234.59 Intermediate Status:
% 234.13/234.59 Generated: 1361949
% 234.13/234.59 KCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------