%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG372-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Thu Jul 14 12:10:34 EDT 2022
% Result : Unsatisfiable 69.71s 70.11s
% Output : Refutation 69.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG372-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 9 05:21:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.90/1.29 *** allocated 10000 integers for termspace/termends
% 0.90/1.29 *** allocated 10000 integers for clauses
% 0.90/1.29 *** allocated 10000 integers for justifications
% 0.90/1.29 *** allocated 15000 integers for termspace/termends
% 0.90/1.29 *** allocated 22500 integers for termspace/termends
% 0.90/1.29 Bliksem 1.12
% 0.90/1.29
% 0.90/1.29
% 0.90/1.29 Automatic Strategy Selection
% 0.90/1.29
% 0.90/1.29 Clauses:
% 0.90/1.29 [
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.29 , X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.29 , X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.29 , X ), X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.29 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.29 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.90/1.29 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.90/1.29 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.90/1.29 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.29 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.90/1.29 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.29 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.29 , T, X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ) ) ), =( Z, T ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.90/1.29 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.90/1.29 [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 0.90/1.29 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.29 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, T, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ), T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.29 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.29 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.90/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.90/1.29 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.90/1.29 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.29 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.29 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.90/1.29 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.29 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.90/1.29 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.29 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.29 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.29 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.90/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.90/1.29 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.90/1.29 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.29 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.29 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.29 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.29 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.90/1.29 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.90/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.90/1.29 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.29 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.90/1.29 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.29 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.29 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.29 X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.90/1.29 ), X ), Y ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.90/1.29 ), Y ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.90/1.29 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.90/1.29 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.90/1.29 ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.29 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.90/1.29 ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.90/1.29 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.90/1.29 =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.29 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.90/1.29 , X ), T, X ), W, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.90/1.29 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.29 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.29 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.29 , X ), W, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 0.90/1.29 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 0.90/1.29 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.90/1.29 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.90/1.29 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.90/1.29 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.90/1.29 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.29 ,
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.29 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.29 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.90/1.29 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.29 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.90/1.29 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.90/1.29 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.90/1.29 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.90/1.29 ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.90/1.29 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.29 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.90/1.29 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.29 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.29 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.29 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.90/1.29 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.90/1.29 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.90/1.29 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.29 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.29 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.29 Z, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.29 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.29 ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.29 ), =( Z, Y ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.29 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.29 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.29 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.90/1.29 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.29 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.29 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.29 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.29 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.29 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.29 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.29 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.30 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.90/1.30 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.90/1.30 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.90/1.30 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.90/1.30 X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.90/1.30 Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.90/1.30 Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.30 X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.90/1.30 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.30 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.90/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.90/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 T, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 T, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.90/1.30 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.90/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.90/1.30 Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 T, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.90/1.30 Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.90/1.30 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 T, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.90/1.30 , X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.90/1.30 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.90/1.30 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.90/1.30 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.90/1.30 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.90/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.30 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.90/1.30 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.30 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.90/1.30 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.90/1.30 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.30 T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.90/1.30 X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.90/1.30 T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.30 T, X ), X ) ) ],
% 0.90/1.30 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.30 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.30 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.90/1.30 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.90/1.30 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.30 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 Y, T, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.30 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 Y, T, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.90/1.30 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.90/1.30 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.30 , X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.30 , X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.30 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 0.90/1.30 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.90/1.30 X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.90/1.30 X ) ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.30 X ) ) ), =( Y, T ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.90/1.30 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.90/1.30 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.30 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.30 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.90/1.30 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.90/1.30 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.90/1.30 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.90/1.30 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.90/1.30 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.90/1.30 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.90/1.30 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.90/1.30 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.90/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.90/1.30 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 Y, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.30 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.90/1.30 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.30 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.90/1.30 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.30 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.30 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 , Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.30 , X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.90/1.30 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.30 Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.90/1.30 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.90/1.30 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.90/1.30 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 Z, Y, X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.30 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.30 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.90/1.30 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.90/1.30 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.30 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.90/1.30 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.30 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.90/1.30 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.90/1.30 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.90/1.30 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 0.90/1.30 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.90/1.30 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.30 , X ), W, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.90/1.30 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.90/1.30 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.90/1.30 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.90/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.90/1.30 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , Z, X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.90/1.30 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , Z, X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.90/1.30 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.90/1.30 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.90/1.30 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.30 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , T, X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.90/1.30 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , T, X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.90/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.90/1.30 Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.90/1.30 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.90/1.30 W, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.90/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.90/1.30 , X ), T, X ), W, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.90/1.30 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.90/1.30 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.90/1.30 W, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.90/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.90/1.30 , X ), W, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.90/1.30 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.90/1.30 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.30 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.90/1.30 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.90/1.30 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.90/1.30 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.30 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.90/1.30 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.30 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.90/1.30 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.90/1.30 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.90/1.30 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Z, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.90/1.30 X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.90/1.30 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.90/1.30 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.90/1.30 , T, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.30 , X ), X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.90/1.30 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.90/1.30 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.90/1.30 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.90/1.30 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.90/1.30 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.90/1.30 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.90/1.30 ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.90/1.30 , X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.90/1.30 , X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 0.90/1.30 , X ), X ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.90/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.90/1.30 ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.90/1.30 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.90/1.30 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.90/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.90/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.90/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.90/1.30 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.90/1.30 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.90/1.30 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.30 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.30 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.30 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.90/1.30 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.90/1.30 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.90/1.30 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.90/1.30 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.90/1.30 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.90/1.30 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.90/1.30 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.90/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.90/1.30 'c_Polynomial_Opoly'( 'v_p', 'v_sko__unknown__thm__rV2__1'( 'v_p', 'v_r'
% 0.90/1.30 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p', X,
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ), 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'v_r',
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.90/1.30 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.90/1.30 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.90/1.30 'c_lessequals'( Z, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.90/1.30 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.90/1.30 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.90/1.30 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.90/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.90/1.30 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.90/1.30 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.30 , X ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.90/1.30 , X ) ) ), =( Y, Z ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.90/1.30 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.90/1.30 , X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.90/1.30 ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.90/1.30 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.30 ), Y ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.30 ) ) ],
% 0.90/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.30 ), Y ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.90/1.30 ), Y ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.90/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.90/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.90/1.30 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.90/1.30 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.90/1.30 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ ~( =( 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 0.90/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 0.90/1.30 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 0.90/1.30 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 0.90/1.30 'tc_RealDef_Oreal' ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.90/1.30 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.90/1.30 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.90/1.30 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.90/1.30 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.90/1.30 ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.90/1.30 ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.90/1.30 X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.90/1.30 ,
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.90/1.30 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.90/1.30 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.90/1.30 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.90/1.30 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.90/1.30 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.90/1.30 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.90/1.30 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.90/1.30 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.90/1.30 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.90/1.30 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.90/1.30 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.90/1.30 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.90/1.30 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.90/1.30 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.90/1.30 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.90/1.30 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.90/1.30 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.90/1.30 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.90/1.30 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.90/1.30 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.90/1.30 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.90/1.30 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.90/1.30 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.90/1.30 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.90/1.30 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.90/1.30 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.90/1.30 [ 'class_Nat_Osemiring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.90/1.30 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.90/1.30 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.90/1.30 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ]
% 0.90/1.30 ] .
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 percentage equality = 0.180992, percentage horn = 0.871298
% 0.90/1.30 This is a problem with some equality
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30
% 0.90/1.30 Options Used:
% 0.90/1.30
% 0.90/1.30 useres = 1
% 0.90/1.30 useparamod = 1
% 0.90/1.30 useeqrefl = 1
% 0.90/1.30 useeqfact = 1
% 0.90/1.30 usefactor = 1
% 0.90/1.30 usesimpsplitting = 0
% 0.90/1.30 usesimpdemod = 5
% 0.90/1.30 usesimpres = 3
% 0.90/1.30
% 0.90/1.30 resimpinuse = 1000
% 0.90/1.30 resimpclauses = 20000
% 0.90/1.30 substype = eqrewr
% 0.90/1.30 backwardsubs = 1
% 0.90/1.30 selectoldest = 5
% 0.90/1.30
% 0.90/1.30 litorderings [0] = split
% 0.90/1.30 litorderings [1] = extend the termordering, first sorting on arguments
% 0.90/1.30
% 0.90/1.30 termordering = kbo
% 0.90/1.30
% 0.90/1.30 litapriori = 0
% 0.90/1.30 termapriori = 1
% 0.90/1.30 litaposteriori = 0
% 0.90/1.30 termaposteriori = 0
% 0.90/1.30 demodaposteriori = 0
% 0.90/1.30 ordereqreflfact = 0
% 0.90/1.30
% 0.90/1.30 litselect = negord
% 0.90/1.30
% 0.90/1.30 maxweight = 15
% 0.90/1.30 maxdepth = 30000
% 0.90/1.30 maxlength = 115
% 0.90/1.30 maxnrvars = 195
% 0.90/1.30 excuselevel = 1
% 0.90/1.30 increasemaxweight = 1
% 0.90/1.30
% 0.90/1.30 maxselected = 10000000
% 0.90/1.30 maxnrclauses = 10000000
% 0.90/1.30
% 0.90/1.30 showgenerated = 0
% 0.90/1.30 showkept = 0
% 0.90/1.30 showselected = 0
% 0.90/1.30 showdeleted = 0
% 0.90/1.30 showresimp = 1
% 0.90/1.30 showstatus = 2000
% 0.90/1.30
% 0.90/1.30 prologoutput = 1
% 0.90/1.30 nrgoals = 5000000
% 0.90/1.30 totalproof = 1
% 0.90/1.30
% 0.90/1.30 Symbols occurring in the translation:
% 0.90/1.30
% 0.90/1.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.90/1.30 . [1, 2] (w:1, o:131, a:1, s:1, b:0),
% 0.90/1.30 ! [4, 1] (w:0, o:49, a:1, s:1, b:0),
% 0.90/1.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Oordered__field' [40, 1] (w:1, o:57, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:63, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Oord__class_Oless' [44, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Oinverse__class_Odivide' [46, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.90/1.30
% 0.90/1.30 'class_Ring__and__Field_Oordered__semidom' [47, 1] (w:1, o:66, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 'c_Nat_Osemiring__1__class_Oof__nat' [49, 2] (w:1, o:156, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'class_Lattices_Oboolean__algebra' [50, 1] (w:1, o:67, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 'c_Lattices_Olower__semilattice__class_Oinf' [53, 3] (w:1, o:166, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 'c_HOL_Ouminus__class_Ouminus' [54, 2] (w:1, o:157, a:1, s:1, b:0),
% 0.90/1.30 'c_Lattices_Oupper__semilattice__class_Osup' [55, 3] (w:1, o:167, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 'class_OrderedGroup_Olordered__ab__group__add' [56, 1] (w:1, o:69, a:
% 0.90/1.30 1, s:1, b:0),
% 0.90/1.30 'class_Lattices_Olattice' [57, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.90/1.30 'class_Lattices_Oupper__semilattice' [58, 1] (w:1, o:71, a:1, s:1, b:
% 0.90/1.30 0),
% 0.90/1.30 'class_RealVector_Oreal__normed__vector' [59, 1] (w:1, o:72, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'c_HOL_Oplus__class_Oplus' [61, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.90/1.30 'c_RealVector_OscaleR__class_OscaleR' [62, 3] (w:1, o:169, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'class_RealVector_Oreal__vector' [63, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.90/1.30
% 0.90/1.30 'class_Ring__and__Field_Oordered__ring__strict' [64, 1] (w:1, o:65
% 0.90/1.30 , a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Otimes__class_Otimes' [65, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Oinverse__class_Oinverse' [66, 2] (w:1, o:158, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 'class_OrderedGroup_Opordered__ab__group__add__abs' [67, 1] (w:1, o:
% 0.90/1.30 75, a:1, s:1, b:0),
% 0.90/1.30 'c_HOL_Oabs__class_Oabs' [68, 2] (w:1, o:159, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Oordered__idom' [69, 1] (w:1, o:76, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'c_HOL_Ominus__class_Ominus' [71, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.90/1.30 'c_Power_Opower__class_Opower' [73, 3] (w:1, o:172, a:1, s:1, b:0),
% 0.90/1.30 'class_OrderedGroup_Oab__group__add' [74, 1] (w:1, o:77, a:1, s:1, b:
% 0.90/1.30 0),
% 0.90/1.30 'class_RealVector_Oreal__normed__algebra' [77, 1] (w:1, o:78, a:1, s:
% 0.90/1.30 1, b:0),
% 0.90/1.30 'class_OrderedGroup_Opordered__comm__monoid__add' [81, 1] (w:1, o:79
% 0.90/1.30 , a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Osemiring' [82, 1] (w:1, o:83, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 'tc_RealDef_Oreal' [84, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.90/1.30 'class_Lattices_Olower__semilattice' [85, 1] (w:1, o:84, a:1, s:1, b:
% 0.90/1.30 0),
% 0.90/1.30 'c_lessequals' [89, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.90/1.30 'tc_Complex_Ocomplex' [90, 0] (w:1, o:35, a:1, s:1, b:0),
% 0.90/1.30 'c_Complex_ORe' [91, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.90/1.30 'class_RealVector_Oreal__algebra__1' [92, 1] (w:1, o:86, a:1, s:1, b:
% 0.90/1.30 0),
% 0.90/1.30 'c_RealVector_Oof__real' [93, 2] (w:1, o:161, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Ocomm__semiring__1' [94, 1] (w:1, o:61, a:1
% 0.90/1.30 , s:1, b:0),
% 0.90/1.30 'class_OrderedGroup_Oab__semigroup__add' [95, 1] (w:1, o:87, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'class_OrderedGroup_Ocomm__monoid__add' [96, 1] (w:1, o:88, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'class_Ring__and__Field_Ofield' [97, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Oordered__comm__semiring__strict' [98, 1] (w:
% 0.90/1.30 1, o:90, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Oordered__semiring__strict' [99, 1] (w:1, o:
% 0.90/1.30 91, a:1, s:1, b:0),
% 0.90/1.30 'class_OrderedGroup_Ogroup__add' [100, 1] (w:1, o:92, a:1, s:1, b:0)
% 0.90/1.30 ,
% 0.90/1.30 'class_RealVector_Oreal__normed__field' [101, 1] (w:1, o:93, a:1, s:1
% 0.90/1.30 , b:0),
% 0.90/1.30 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [102, 1]
% 0.90/1.30 (w:1, o:94, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Odivision__ring' [103, 1] (w:1, o:95, a:1, s:
% 0.90/1.30 1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Oring__no__zero__divisors' [104, 1] (w:1, o:
% 0.90/1.30 80, a:1, s:1, b:0),
% 0.90/1.30 'class_Ring__and__Field_Omult__zero' [105, 1] (w:1, o:97, a:1, s:1
% 5.07/5.43 , b:0),
% 5.07/5.43 'class_Ring__and__Field_Oring__1__no__zero__divisors' [106, 1] (w:1
% 5.07/5.43 , o:81, a:1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Ozero__neq__one' [107, 1] (w:1, o:98, a:1, s:
% 5.07/5.43 1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Ono__zero__divisors' [108, 1] (w:1, o:56, a:1
% 5.07/5.43 , s:1, b:0),
% 5.07/5.43 'class_Power_Opower' [109, 1] (w:1, o:116, a:1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Oidom' [110, 1] (w:1, o:117, a:1, s:1, b:0),
% 5.07/5.43
% 5.07/5.43 'class_Int_Onumber__ring' [111, 1] (w:1, o:118, a:1, s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Omonoid__add' [112, 1] (w:1, o:102, a:1, s:1, b:0
% 5.07/5.43 ),
% 5.07/5.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [114, 1]
% 5.07/5.43 (w:1, o:103, a:1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Opordered__ring__abs' [115, 1] (w:1, o:120
% 5.07/5.43 , a:1, s:1, b:0),
% 5.07/5.43 'class_Orderings_Opreorder' [116, 1] (w:1, o:105, a:1, s:1, b:0),
% 5.07/5.43 'class_Orderings_Oorder' [117, 1] (w:1, o:104, a:1, s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Olordered__ab__group__add__join' [118, 1] (w:1
% 5.07/5.43 , o:99, a:1, s:1, b:0),
% 5.07/5.43 'class_Lattices_Odistrib__lattice' [119, 1] (w:1, o:121, a:1, s:1, b:
% 5.07/5.43 0),
% 5.07/5.43 'class_Ring__and__Field_Olordered__ring' [120, 1] (w:1, o:96, a:1, s:
% 5.07/5.43 1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Oring' [121, 1] (w:1, o:82, a:1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Opordered__ring' [122, 1] (w:1, o:122, a:1
% 5.07/5.43 , s:1, b:0),
% 5.07/5.43 'class_Nat_Osemiring__char__0' [123, 1] (w:1, o:68, a:1, s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Olordered__ab__group__add__abs' [128, 1] (w:1, o:
% 5.07/5.43 100, a:1, s:1, b:0),
% 5.07/5.43 'class_Orderings_Olinorder' [129, 1] (w:1, o:106, a:1, s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Oab__semigroup__idem__mult' [130, 1] (w:1, o:107
% 5.07/5.43 , a:1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Oordered__semiring' [132, 1] (w:1, o:119, a:1
% 5.07/5.43 , s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Opordered__ab__group__add' [133, 1] (w:1, o:108
% 5.07/5.43 , a:1, s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Opordered__ab__semigroup__add' [134, 1] (w:1, o:
% 5.07/5.43 109, a:1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Oabs__if' [135, 1] (w:1, o:123, a:1, s:1, b:0
% 5.07/5.43 ),
% 5.07/5.43 'class_OrderedGroup_Ocomm__monoid__mult' [137, 1] (w:1, o:110, a:1
% 5.07/5.43 , s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Oab__semigroup__mult' [138, 1] (w:1, o:111, a:1
% 5.07/5.43 , s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Ocomm__semiring' [142, 1] (w:1, o:62, a:1, s:
% 5.07/5.43 1, b:0),
% 5.07/5.43 'class_OrderedGroup_Ocancel__ab__semigroup__add' [143, 1] (w:1, o:112
% 5.07/5.43 , a:1, s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Ocancel__semigroup__add' [144, 1] (w:1, o:113, a:
% 5.07/5.43 1, s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Olordered__ab__group__add__meet' [145, 1] (w:1
% 5.07/5.43 , o:101, a:1, s:1, b:0),
% 5.07/5.43 'class_RealVector_Oreal__algebra' [146, 1] (w:1, o:124, a:1, s:1, b:0
% 5.07/5.43 ),
% 5.07/5.43 'c_RealVector_Onorm__class_Onorm' [147, 2] (w:1, o:160, a:1, s:1, b:0
% 5.07/5.43 ),
% 5.07/5.43 'class_Ring__and__Field_Opordered__cancel__semiring' [149, 1] (w:1
% 5.07/5.43 , o:125, a:1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Opordered__semiring' [150, 1] (w:1, o:126, a:
% 5.07/5.43 1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Omult__mono' [151, 1] (w:1, o:54, a:1, s:1
% 5.07/5.43 , b:0),
% 5.07/5.43 'class_Ring__and__Field_Omult__mono1' [152, 1] (w:1, o:55, a:1, s:1
% 5.07/5.43 , b:0),
% 5.07/5.43 'class_RealVector_Oreal__field' [153, 1] (w:1, o:127, a:1, s:1, b:0)
% 5.07/5.43 ,
% 5.07/5.43 'class_RealVector_Oreal__normed__algebra__1' [154, 1] (w:1, o:128, a:
% 5.07/5.43 1, s:1, b:0),
% 5.07/5.43 'class_RealVector_Oreal__normed__div__algebra' [156, 1] (w:1, o:129
% 5.07/5.43 , a:1, s:1, b:0),
% 5.07/5.43 'class_OrderedGroup_Omonoid__mult' [157, 1] (w:1, o:114, a:1, s:1, b:
% 5.07/5.43 0),
% 5.07/5.43 'tc_Polynomial_Opoly' [158, 1] (w:1, o:130, a:1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Ocomm__semiring__0' [159, 1] (w:1, o:60, a:1
% 5.07/5.43 , s:1, b:0),
% 5.07/5.43 'c_Polynomial_Opoly' [160, 3] (w:1, o:174, a:1, s:1, b:0),
% 5.07/5.43 'class_Ring__and__Field_Ocomm__ring' [161, 1] (w:1, o:58, a:1, s:1
% 5.07/5.43 , b:0),
% 5.07/5.43 'v_r' [163, 0] (w:1, o:44, a:1, s:1, b:0),
% 5.07/5.43 'v_p' [164, 0] (w:1, o:45, a:1, s:1, b:0),
% 5.07/5.43 'v_sko__unknown__thm__rV2__1' [165, 2] (w:1, o:162, a:1, s:1, b:0),
% 5.07/5.43 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 22.97/23.39 [166, 2] (w:1, o:163, a:1, s:1, b:0),
% 22.97/23.39 'class_OrderedGroup_Oordered__ab__group__add' [170, 1] (w:1, o:74, a:
% 22.97/23.39 1, s:1, b:0),
% 22.97/23.39 'class_OrderedGroup_Ocancel__comm__monoid__add' [172, 1] (w:1, o:115
% 22.97/23.39 , a:1, s:1, b:0),
% 22.97/23.39 'class_Ring__and__Field_Ocomm__ring__1' [173, 1] (w:1, o:59, a:1, s:1
% 22.97/23.39 , b:0),
% 22.97/23.39 'tc_nat' [174, 0] (w:1, o:48, a:1, s:1, b:0).
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Starting Search:
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 3891
% 22.97/23.39 Kept: 2038
% 22.97/23.39 Inuse: 275
% 22.97/23.39 Deleted: 6
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 10576
% 22.97/23.39 Kept: 4103
% 22.97/23.39 Inuse: 369
% 22.97/23.39 Deleted: 7
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 25686
% 22.97/23.39 Kept: 6719
% 22.97/23.39 Inuse: 429
% 22.97/23.39 Deleted: 7
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 33078
% 22.97/23.39 Kept: 8888
% 22.97/23.39 Inuse: 444
% 22.97/23.39 Deleted: 7
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 40646
% 22.97/23.39 Kept: 10892
% 22.97/23.39 Inuse: 473
% 22.97/23.39 Deleted: 7
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 47454
% 22.97/23.39 Kept: 14215
% 22.97/23.39 Inuse: 504
% 22.97/23.39 Deleted: 7
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 50536
% 22.97/23.39 Kept: 16243
% 22.97/23.39 Inuse: 510
% 22.97/23.39 Deleted: 7
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 54301
% 22.97/23.39 Kept: 18249
% 22.97/23.39 Inuse: 521
% 22.97/23.39 Deleted: 7
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying clauses:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 61564
% 22.97/23.39 Kept: 20275
% 22.97/23.39 Inuse: 573
% 22.97/23.39 Deleted: 157
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 68008
% 22.97/23.39 Kept: 22323
% 22.97/23.39 Inuse: 629
% 22.97/23.39 Deleted: 157
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 75782
% 22.97/23.39 Kept: 24329
% 22.97/23.39 Inuse: 683
% 22.97/23.39 Deleted: 157
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 84491
% 22.97/23.39 Kept: 26469
% 22.97/23.39 Inuse: 734
% 22.97/23.39 Deleted: 157
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 93849
% 22.97/23.39 Kept: 29209
% 22.97/23.39 Inuse: 754
% 22.97/23.39 Deleted: 157
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 105957
% 22.97/23.39 Kept: 33108
% 22.97/23.39 Inuse: 784
% 22.97/23.39 Deleted: 157
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 117205
% 22.97/23.39 Kept: 35190
% 22.97/23.39 Inuse: 849
% 22.97/23.39 Deleted: 157
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 134481
% 22.97/23.39 Kept: 37514
% 22.97/23.39 Inuse: 924
% 22.97/23.39 Deleted: 157
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 151071
% 22.97/23.39 Kept: 39865
% 22.97/23.39 Inuse: 939
% 22.97/23.39 Deleted: 157
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying clauses:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 182174
% 22.97/23.39 Kept: 43359
% 22.97/23.39 Inuse: 1014
% 22.97/23.39 Deleted: 303
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 191874
% 22.97/23.39 Kept: 46903
% 22.97/23.39 Inuse: 1026
% 22.97/23.39 Deleted: 303
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 215588
% 22.97/23.39 Kept: 49305
% 22.97/23.39 Inuse: 1034
% 22.97/23.39 Deleted: 303
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 227532
% 22.97/23.39 Kept: 51496
% 22.97/23.39 Inuse: 1059
% 22.97/23.39 Deleted: 303
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 241030
% 22.97/23.39 Kept: 53767
% 22.97/23.39 Inuse: 1099
% 22.97/23.39 Deleted: 303
% 22.97/23.39 Deletedinuse: 0
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39 Resimplifying inuse:
% 22.97/23.39 Done
% 22.97/23.39
% 22.97/23.39
% 22.97/23.39 Intermediate Status:
% 22.97/23.39 Generated: 252647
% 22.97/23.39 Kept: 55807
% 69.03/69.46 Inuse: 1129
% 69.03/69.46 Deleted: 303
% 69.03/69.46 Deletedinuse: 0
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 263238
% 69.03/69.46 Kept: 57985
% 69.03/69.46 Inuse: 1164
% 69.03/69.46 Deleted: 303
% 69.03/69.46 Deletedinuse: 0
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 276775
% 69.03/69.46 Kept: 60096
% 69.03/69.46 Inuse: 1174
% 69.03/69.46 Deleted: 303
% 69.03/69.46 Deletedinuse: 0
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying clauses:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 288701
% 69.03/69.46 Kept: 62138
% 69.03/69.46 Inuse: 1204
% 69.03/69.46 Deleted: 453
% 69.03/69.46 Deletedinuse: 0
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 298758
% 69.03/69.46 Kept: 65774
% 69.03/69.46 Inuse: 1223
% 69.03/69.46 Deleted: 453
% 69.03/69.46 Deletedinuse: 0
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 314852
% 69.03/69.46 Kept: 69446
% 69.03/69.46 Inuse: 1245
% 69.03/69.46 Deleted: 456
% 69.03/69.46 Deletedinuse: 3
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 322300
% 69.03/69.46 Kept: 71557
% 69.03/69.46 Inuse: 1294
% 69.03/69.46 Deleted: 616
% 69.03/69.46 Deletedinuse: 163
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 333259
% 69.03/69.46 Kept: 74896
% 69.03/69.46 Inuse: 1314
% 69.03/69.46 Deleted: 617
% 69.03/69.46 Deletedinuse: 164
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 342175
% 69.03/69.46 Kept: 77614
% 69.03/69.46 Inuse: 1319
% 69.03/69.46 Deleted: 617
% 69.03/69.46 Deletedinuse: 164
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 349033
% 69.03/69.46 Kept: 79666
% 69.03/69.46 Inuse: 1359
% 69.03/69.46 Deleted: 617
% 69.03/69.46 Deletedinuse: 164
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying clauses:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 355233
% 69.03/69.46 Kept: 81669
% 69.03/69.46 Inuse: 1397
% 69.03/69.46 Deleted: 8078
% 69.03/69.46 Deletedinuse: 164
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 362546
% 69.03/69.46 Kept: 83691
% 69.03/69.46 Inuse: 1439
% 69.03/69.46 Deleted: 8078
% 69.03/69.46 Deletedinuse: 164
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46 Resimplifying inuse:
% 69.03/69.46 Done
% 69.03/69.46
% 69.03/69.46
% 69.03/69.46 Intermediate Status:
% 69.03/69.46 Generated: 375707
% 69.03/69.47 Kept: 88046
% 69.03/69.47 Inuse: 1469
% 69.03/69.47 Deleted: 8078
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 389742
% 69.03/69.47 Kept: 90224
% 69.03/69.47 Inuse: 1489
% 69.03/69.47 Deleted: 8078
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 401104
% 69.03/69.47 Kept: 92343
% 69.03/69.47 Inuse: 1534
% 69.03/69.47 Deleted: 8078
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 409769
% 69.03/69.47 Kept: 94360
% 69.03/69.47 Inuse: 1569
% 69.03/69.47 Deleted: 8078
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 432577
% 69.03/69.47 Kept: 97197
% 69.03/69.47 Inuse: 1584
% 69.03/69.47 Deleted: 8078
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 444169
% 69.03/69.47 Kept: 99463
% 69.03/69.47 Inuse: 1609
% 69.03/69.47 Deleted: 8078
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying clauses:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 453732
% 69.03/69.47 Kept: 101469
% 69.03/69.47 Inuse: 1632
% 69.03/69.47 Deleted: 8351
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 462619
% 69.03/69.47 Kept: 103631
% 69.03/69.47 Inuse: 1659
% 69.03/69.47 Deleted: 8351
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 487014
% 69.03/69.47 Kept: 106504
% 69.03/69.47 Inuse: 1669
% 69.03/69.47 Deleted: 8351
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 509145
% 69.03/69.47 Kept: 109334
% 69.03/69.47 Inuse: 1684
% 69.03/69.47 Deleted: 8351
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 537946
% 69.03/69.47 Kept: 112070
% 69.03/69.47 Inuse: 1688
% 69.03/69.47 Deleted: 8357
% 69.03/69.47 Deletedinuse: 164
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 552462
% 69.03/69.47 Kept: 114312
% 69.03/69.47 Inuse: 1695
% 69.03/69.47 Deleted: 8386
% 69.03/69.47 Deletedinuse: 165
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47 Resimplifying inuse:
% 69.03/69.47 Done
% 69.03/69.47
% 69.03/69.47
% 69.03/69.47 Intermediate Status:
% 69.03/69.47 Generated: 574657
% 69.03/69.47 Kept: 117187
% 69.71/70.11 Inuse: 1697
% 69.71/70.11 Deleted: 8394
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 608728
% 69.71/70.11 Kept: 121275
% 69.71/70.11 Inuse: 1700
% 69.71/70.11 Deleted: 8406
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying clauses:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 618677
% 69.71/70.11 Kept: 123405
% 69.71/70.11 Inuse: 1720
% 69.71/70.11 Deleted: 8887
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 651084
% 69.71/70.11 Kept: 127129
% 69.71/70.11 Inuse: 1750
% 69.71/70.11 Deleted: 8887
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 669682
% 69.71/70.11 Kept: 129553
% 69.71/70.11 Inuse: 1780
% 69.71/70.11 Deleted: 8887
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 688255
% 69.71/70.11 Kept: 132201
% 69.71/70.11 Inuse: 1790
% 69.71/70.11 Deleted: 8887
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 701391
% 69.71/70.11 Kept: 134470
% 69.71/70.11 Inuse: 1805
% 69.71/70.11 Deleted: 8887
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 720413
% 69.71/70.11 Kept: 136638
% 69.71/70.11 Inuse: 1854
% 69.71/70.11 Deleted: 8888
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 763703
% 69.71/70.11 Kept: 141324
% 69.71/70.11 Inuse: 1899
% 69.71/70.11 Deleted: 8888
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying clauses:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 782475
% 69.71/70.11 Kept: 143354
% 69.71/70.11 Inuse: 1934
% 69.71/70.11 Deleted: 9145
% 69.71/70.11 Deletedinuse: 165
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 805751
% 69.71/70.11 Kept: 146775
% 69.71/70.11 Inuse: 1969
% 69.71/70.11 Deleted: 9146
% 69.71/70.11 Deletedinuse: 166
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 821063
% 69.71/70.11 Kept: 149103
% 69.71/70.11 Inuse: 2004
% 69.71/70.11 Deleted: 9146
% 69.71/70.11 Deletedinuse: 166
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 834764
% 69.71/70.11 Kept: 151425
% 69.71/70.11 Inuse: 2034
% 69.71/70.11 Deleted: 9146
% 69.71/70.11 Deletedinuse: 166
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 848333
% 69.71/70.11 Kept: 153442
% 69.71/70.11 Inuse: 2066
% 69.71/70.11 Deleted: 9146
% 69.71/70.11 Deletedinuse: 166
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 859934
% 69.71/70.11 Kept: 155448
% 69.71/70.11 Inuse: 2091
% 69.71/70.11 Deleted: 9146
% 69.71/70.11 Deletedinuse: 166
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 874335
% 69.71/70.11 Kept: 157455
% 69.71/70.11 Inuse: 2104
% 69.71/70.11 Deleted: 9146
% 69.71/70.11 Deletedinuse: 166
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 884282
% 69.71/70.11 Kept: 159551
% 69.71/70.11 Inuse: 2124
% 69.71/70.11 Deleted: 9146
% 69.71/70.11 Deletedinuse: 166
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying clauses:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 897047
% 69.71/70.11 Kept: 161908
% 69.71/70.11 Inuse: 2149
% 69.71/70.11 Deleted: 9941
% 69.71/70.11 Deletedinuse: 166
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 907534
% 69.71/70.11 Kept: 164376
% 69.71/70.11 Inuse: 2169
% 69.71/70.11 Deleted: 9943
% 69.71/70.11 Deletedinuse: 168
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 916497
% 69.71/70.11 Kept: 166392
% 69.71/70.11 Inuse: 2187
% 69.71/70.11 Deleted: 9943
% 69.71/70.11 Deletedinuse: 168
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 932971
% 69.71/70.11 Kept: 170537
% 69.71/70.11 Inuse: 2204
% 69.71/70.11 Deleted: 9943
% 69.71/70.11 Deletedinuse: 168
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 959255
% 69.71/70.11 Kept: 174049
% 69.71/70.11 Inuse: 2214
% 69.71/70.11 Deleted: 9943
% 69.71/70.11 Deletedinuse: 168
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 969712
% 69.71/70.11 Kept: 176184
% 69.71/70.11 Inuse: 2234
% 69.71/70.11 Deleted: 9943
% 69.71/70.11 Deletedinuse: 168
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Intermediate Status:
% 69.71/70.11 Generated: 988453
% 69.71/70.11 Kept: 178949
% 69.71/70.11 Inuse: 2254
% 69.71/70.11 Deleted: 9943
% 69.71/70.11 Deletedinuse: 168
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11 Resimplifying inuse:
% 69.71/70.11 Done
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 Bliksems!, er is een bewijs:
% 69.71/70.11 % SZS status Unsatisfiable
% 69.71/70.11 % SZS output start Refutation
% 69.71/70.11
% 69.71/70.11 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.11 , X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 6, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 98, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) )
% 69.71/70.11 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 134, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 185, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 69.71/70.11 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.11 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 196, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 69.71/70.11 ), =( Z, Y ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 197, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 253, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 263, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 69.71/70.11 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 488, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 69.71/70.11 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 522, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 612, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 620, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 69.71/70.11 Y, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 624, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 656, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.11 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.11 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 709, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 717, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 69.71/70.11 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 742, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal'
% 69.71/70.11 ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 743, [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ]
% 69.71/70.11 )
% 69.71/70.11 .
% 69.71/70.11 clause( 764, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 766, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 767, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 775, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 69.71/70.11 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 790, [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex'
% 69.71/70.11 ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 12055, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 21242, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) )
% 69.71/70.11 ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 23838, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 69.71/70.11 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 36211, [ =( 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 39884, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 69.71/70.11 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 39932, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.11 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 40267, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 41667, [ 'c_lessequals'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 62377, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 62489, [ ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 62499, [ ~( 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 69.71/70.11 ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 62826, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.11 =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r' ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 69956, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.11 ~( 'c_lessequals'( 'v_r', 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 80648, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 69.71/70.11 )
% 69.71/70.11 .
% 69.71/70.11 clause( 180705, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.11 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 69.71/70.11 ) ] )
% 69.71/70.11 .
% 69.71/70.11 clause( 180735, [] )
% 69.71/70.11 .
% 69.71/70.11
% 69.71/70.11
% 69.71/70.11 % SZS output end Refutation
% 69.71/70.11 found a proof!
% 69.71/70.11
% 69.71/70.11 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 69.71/70.11
% 69.71/70.11 initialclauses(
% 69.71/70.11 [ clause( 180737, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180738, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 69.71/70.11 ~( 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 69.71/70.11 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180739, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.11 , X ), X ) ) ] )
% 69.71/70.11 , clause( 180740, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.11 , X ), X ) ) ] )
% 69.71/70.11 , clause( 180741, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 180742, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 180743, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.11 , X ), X ), X ) ) ] )
% 69.71/70.11 , clause( 180744, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 69.71/70.11 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180745, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 69.71/70.11 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180746, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180747, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180748, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 180749, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180750, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180751, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180752, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 69.71/70.11 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180753, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 180754, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180755, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 69.71/70.11 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180756, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 69.71/70.11 , U, X ), X ) ) ] )
% 69.71/70.11 , clause( 180757, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 69.71/70.11 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.11 T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180758, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 69.71/70.11 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.11 T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180759, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 69.71/70.11 ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 69.71/70.11 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180760, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 69.71/70.11 ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 69.71/70.11 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180761, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180762, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 69.71/70.11 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 69.71/70.11 , clause( 180763, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180764, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180765, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 180766, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 180767, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 69.71/70.11 , 'tc_RealDef_Oreal' ), T, X ) ) ] )
% 69.71/70.11 , clause( 180768, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), U
% 69.71/70.11 , X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Ominus__class_Ominus'(
% 69.71/70.11 Z, U, X ), X ), X ) ) ] )
% 69.71/70.11 , clause( 180769, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180770, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180771, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180772, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180773, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180774, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180775, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 69.71/70.11 , T, X ) ) ), =( Y, Z ) ] )
% 69.71/70.11 , clause( 180776, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 69.71/70.11 , T, X ) ) ), =( Z, T ) ] )
% 69.71/70.11 , clause( 180777, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 69.71/70.11 X ) ] )
% 69.71/70.11 , clause( 180778, [ =( 'c_Complex_ORe'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_Complex_Ocomplex' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180779, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 180780, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 69.71/70.11 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 180781, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 69.71/70.11 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 180782, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 69.71/70.11 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 180783, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 69.71/70.11 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 180784, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 69.71/70.11 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180785, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 69.71/70.11 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180786, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 69.71/70.11 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 180787, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 69.71/70.11 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180788, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 69.71/70.11 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180789, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180790, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180791, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180792, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180793, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180794, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 180795, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 180796, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 69.71/70.11 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180797, [ ~(
% 69.71/70.11 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 69.71/70.11 , clause( 180798, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180799, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180800, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 180801, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 69.71/70.11 , clause( 180802, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180803, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180804, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 69.71/70.11 , clause( 180805, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 69.71/70.11 , clause( 180806, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180807, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.11 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 X ), T, X ) ) ] )
% 69.71/70.11 , clause( 180808, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180809, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.11 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180810, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 69.71/70.11 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 180811, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 69.71/70.11 ), Y ) ] )
% 69.71/70.11 , clause( 180812, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 69.71/70.11 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 69.71/70.11 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180813, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 69.71/70.11 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 69.71/70.11 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180814, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 69.71/70.11 , Y, X ) ) ] )
% 69.71/70.11 , clause( 180815, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 180816, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 180817, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180818, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ] )
% 69.71/70.11 , clause( 180819, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180820, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180821, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 69.71/70.11 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180822, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180823, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 69.71/70.11 X ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180824, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 69.71/70.11 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180825, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180826, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180827, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180828, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180829, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180830, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180831, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180832, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180833, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180834, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 69.71/70.11 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180835, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 180836, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 69.71/70.11 , =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 69.71/70.11 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180837, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180838, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 69.71/70.11 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180839, [ ~(
% 69.71/70.11 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( =(
% 69.71/70.11 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180840, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 69.71/70.11 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180841, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 69.71/70.11 X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180842, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 69.71/70.11 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180843, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 69.71/70.11 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180844, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180845, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180846, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180847, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180848, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180849, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.11 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 69.71/70.11 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180850, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.11 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 69.71/70.11 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180851, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 180852, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180853, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180854, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180855, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ), =( Y, Z ) ] )
% 69.71/70.11 , clause( 180856, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ), =( Y, Z ) ] )
% 69.71/70.11 , clause( 180857, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.11 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 69.71/70.11 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 69.71/70.11 , clause( 180858, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180859, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180860, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180861, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180862, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 180863, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 180864, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 180865, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.11 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180866, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180867, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 180868, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180869, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180870, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 69.71/70.11 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 180871, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 180872, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 69.71/70.11 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 69.71/70.11 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180873, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 69.71/70.11 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180874, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_lessequals'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 180875, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 180876, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_lessequals'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 180877, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 180878, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 69.71/70.11 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 69.71/70.11 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180879, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 69.71/70.11 , X ) ] )
% 69.71/70.11 , clause( 180880, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180881, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180882, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180883, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180884, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 69.71/70.11 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 69.71/70.11 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180885, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 180886, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180887, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180888, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 69.71/70.11 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180889, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 69.71/70.11 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 180890, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 69.71/70.11 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 69.71/70.11 , clause( 180891, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 69.71/70.11 , clause( 180892, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), =( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180893, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180894, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180895, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180896, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 180897, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 69.71/70.11 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X,
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 , clause( 180898, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 180899, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180900, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180901, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 69.71/70.11 ), X ), Y ) ] )
% 69.71/70.11 , clause( 180902, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 69.71/70.11 ), Y ) ] )
% 69.71/70.11 , clause( 180903, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 69.71/70.11 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 180904, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 69.71/70.11 , clause( 180905, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.11 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 69.71/70.11 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180906, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.11 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 69.71/70.11 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180907, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 180908, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 180909, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 69.71/70.11 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 69.71/70.11 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 69.71/70.11 , clause( 180910, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180911, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 69.71/70.11 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 69.71/70.11 =( Y, Z ) ] )
% 69.71/70.11 , clause( 180912, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180913, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 69.71/70.11 , clause( 180914, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 69.71/70.11 , clause( 180915, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 69.71/70.11 , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 69.71/70.11 ), X ) ) ] )
% 69.71/70.11 , clause( 180916, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 69.71/70.11 , clause( 180917, [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 69.71/70.11 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 69.71/70.11 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ] )
% 69.71/70.11 , clause( 180918, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180919, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180920, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180921, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180922, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 69.71/70.11 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180923, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 69.71/70.11 , clause( 180924, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 69.71/70.11 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.11 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180925, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 69.71/70.11 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.11 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180926, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180927, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180928, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180929, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180930, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180931, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180932, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 69.71/70.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 69.71/70.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 180933, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 69.71/70.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 69.71/70.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180934, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 69.71/70.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180935, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180936, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180937, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180938, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180939, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 69.71/70.11 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180940, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 69.71/70.11 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180941, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180942, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 69.71/70.11 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 69.71/70.11 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180943, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 69.71/70.11 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180944, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 69.71/70.11 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.11 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180945, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 69.71/70.11 , clause( 180946, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 69.71/70.11 , clause( 180947, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 69.71/70.11 , clause( 180948, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 180949, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 69.71/70.11 , clause( 180950, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180951, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180952, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180953, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 69.71/70.11 , clause( 180954, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180955, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 69.71/70.11 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.11 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 69.71/70.11 Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180956, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 69.71/70.11 ), =( Z, Y ) ] )
% 69.71/70.11 , clause( 180957, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 69.71/70.11 , clause( 180958, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180959, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 180960, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 69.71/70.11 ), =( Z, Y ) ] )
% 69.71/70.11 , clause( 180961, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 69.71/70.11 , clause( 180962, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 180963, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 69.71/70.11 , clause( 180964, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 69.71/70.11 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180965, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 69.71/70.11 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180966, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180967, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 69.71/70.11 , clause( 180968, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 69.71/70.11 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.11 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 180969, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 180970, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180971, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180972, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180973, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180974, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180975, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 69.71/70.11 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180976, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 69.71/70.11 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180977, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 180978, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 69.71/70.11 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 180979, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.11 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 180980, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 69.71/70.11 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180981, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 69.71/70.11 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 180982, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 69.71/70.11 X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180983, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 69.71/70.11 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 69.71/70.11 Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180984, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 69.71/70.11 Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180985, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 69.71/70.11 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 69.71/70.11 X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180986, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 69.71/70.11 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 180987, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 69.71/70.11 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 X ), T, X ) ) ] )
% 69.71/70.11 , clause( 180988, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180989, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 69.71/70.11 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180990, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 69.71/70.11 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180991, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 69.71/70.11 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 180992, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 69.71/70.11 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 69.71/70.11 , clause( 180993, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180994, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 180995, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 69.71/70.11 Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180996, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 69.71/70.11 , T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180997, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.11 , Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 180998, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 69.71/70.11 , T, X ), X ) ) ] )
% 69.71/70.11 , clause( 180999, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.11 , Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181000, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 69.71/70.11 , clause( 181001, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181002, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 69.71/70.11 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 181003, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 69.71/70.11 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181004, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 69.71/70.11 , T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181005, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.11 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.11 , Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181006, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 69.71/70.11 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 181007, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.11 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 X ), T, X ) ) ] )
% 69.71/70.11 , clause( 181008, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 69.71/70.11 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 181009, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.11 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181010, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 X ), X ) ) ] )
% 69.71/70.11 , clause( 181011, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 X ), X ) ) ] )
% 69.71/70.11 , clause( 181012, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181013, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 69.71/70.11 , clause( 181014, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181015, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181016, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 69.71/70.11 , clause( 181017, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181018, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 69.71/70.11 , clause( 181019, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 69.71/70.11 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 69.71/70.11 , clause( 181020, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 69.71/70.11 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 69.71/70.11 , clause( 181021, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181022, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 69.71/70.11 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181023, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 69.71/70.11 'c_lessequals'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 181024, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ) ] )
% 69.71/70.11 , clause( 181025, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 69.71/70.11 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181026, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 69.71/70.11 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181027, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181028, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 69.71/70.11 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181029, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 69.71/70.11 , clause( 181030, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 69.71/70.11 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181031, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 69.71/70.11 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181032, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 69.71/70.11 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181033, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 69.71/70.11 ), X ) ] )
% 69.71/70.11 , clause( 181034, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 69.71/70.11 ), X ) ] )
% 69.71/70.11 , clause( 181035, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 69.71/70.11 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181036, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 69.71/70.11 , 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 69.71/70.11 , clause( 181037, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 69.71/70.11 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 69.71/70.11 , clause( 181038, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181039, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181040, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.11 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 69.71/70.11 , clause( 181041, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.11 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181042, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181043, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181044, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 181045, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 69.71/70.11 Z, Y ) ] )
% 69.71/70.11 , clause( 181046, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181047, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 69.71/70.11 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 69.71/70.11 , clause( 181048, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 69.71/70.11 Y, Z ) ] )
% 69.71/70.11 , clause( 181049, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 181050, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181051, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 181052, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 69.71/70.11 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 181053, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 69.71/70.11 ~( 'c_lessequals'( U, T, X ) ) ] )
% 69.71/70.11 , clause( 181054, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181055, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181056, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 69.71/70.11 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181057, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 69.71/70.11 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181058, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181059, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181060, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 69.71/70.11 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181061, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 69.71/70.11 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181062, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 69.71/70.11 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181063, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.11 Z, X ) ] )
% 69.71/70.11 , clause( 181064, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.11 Y, X ) ] )
% 69.71/70.11 , clause( 181065, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 69.71/70.11 , clause( 181066, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 69.71/70.11 , clause( 181067, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181068, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181069, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181070, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181071, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181072, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181073, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181074, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 69.71/70.11 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181075, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 69.71/70.11 , clause( 181076, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 69.71/70.11 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181077, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 69.71/70.11 , clause( 181078, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181079, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 69.71/70.11 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 69.71/70.11 , clause( 181080, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 69.71/70.11 , clause( 181081, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 69.71/70.11 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181082, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 69.71/70.11 'c_lessequals'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 181083, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 69.71/70.11 'c_lessequals'( Y, Z, X ) ] )
% 69.71/70.11 , clause( 181084, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 69.71/70.11 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181085, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 69.71/70.11 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181086, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 69.71/70.11 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 69.71/70.11 , clause( 181087, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181088, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181089, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181090, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181091, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181092, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 69.71/70.11 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 69.71/70.11 , clause( 181093, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 69.71/70.11 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 69.71/70.11 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 , clause( 181094, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 69.71/70.11 , clause( 181095, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 69.71/70.11 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 69.71/70.11 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 181096, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 69.71/70.11 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 69.71/70.11 , clause( 181097, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 69.71/70.11 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181098, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 69.71/70.11 ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 69.71/70.11 Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181099, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 69.71/70.11 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 69.71/70.11 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181100, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 69.71/70.11 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 69.71/70.11 Y, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181101, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181102, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181103, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.11 T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181104, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181105, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 69.71/70.11 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 69.71/70.11 , X ), T, X ) ) ] )
% 69.71/70.11 , clause( 181106, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 69.71/70.11 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 69.71/70.11 , T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181107, [ =( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 69.71/70.11 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 , clause( 181108, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 69.71/70.11 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 69.71/70.11 , X ), T, X ) ) ] )
% 69.71/70.11 , clause( 181109, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 69.71/70.11 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181110, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 69.71/70.11 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181111, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 69.71/70.11 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181112, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 69.71/70.11 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181113, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 69.71/70.11 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181114, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 69.71/70.11 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 69.71/70.11 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181115, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 69.71/70.11 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181116, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 69.71/70.11 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181117, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181118, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181119, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181120, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 69.71/70.11 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 69.71/70.11 ), X ) ) ] )
% 69.71/70.11 , clause( 181121, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 69.71/70.11 , clause( 181122, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 69.71/70.11 ) ) ] )
% 69.71/70.11 , clause( 181123, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 69.71/70.11 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.11 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181124, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 181125, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 69.71/70.11 , clause( 181126, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 69.71/70.11 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181127, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 69.71/70.11 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 69.71/70.11 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181128, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 181129, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 69.71/70.11 , clause( 181130, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.11 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181131, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.11 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181132, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181133, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 69.71/70.11 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181134, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181135, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 69.71/70.11 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181136, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.11 , X ), X ) ) ] )
% 69.71/70.11 , clause( 181137, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.11 , X ), X ) ) ] )
% 69.71/70.11 , clause( 181138, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181139, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181140, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181141, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181142, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 69.71/70.11 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181143, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181144, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 69.71/70.11 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 181145, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 69.71/70.11 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 181146, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 69.71/70.11 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 , clause( 181147, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 69.71/70.11 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 , clause( 181148, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 69.71/70.11 X ), X ) ) ] )
% 69.71/70.11 , clause( 181149, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181150, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181151, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181152, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181153, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181154, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181155, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 69.71/70.11 , clause( 181156, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 69.71/70.11 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ] )
% 69.71/70.11 , clause( 181157, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.11 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 69.71/70.11 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 69.71/70.11 , clause( 181158, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 69.71/70.11 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 69.71/70.11 , clause( 181159, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 69.71/70.11 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, T, X ) ) ), =( Z, T ) ] )
% 69.71/70.11 , clause( 181160, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 69.71/70.11 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 T, Z, X ) ) ), =( Y, T ) ] )
% 69.71/70.11 , clause( 181161, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181162, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 69.71/70.11 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181163, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 69.71/70.11 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 69.71/70.11 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181164, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.11 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 69.71/70.11 , clause( 181165, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 69.71/70.11 , clause( 181166, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181167, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 69.71/70.11 , clause( 181168, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181169, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), =( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181170, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181171, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181172, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 69.71/70.11 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181173, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 , clause( 181174, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 69.71/70.11 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181175, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 69.71/70.11 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181176, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'(
% 69.71/70.11 Z, T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181177, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'(
% 69.71/70.11 Z, T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181178, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 69.71/70.11 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181179, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 69.71/70.11 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 69.71/70.11 , clause( 181180, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_OscaleR__class_OscaleR'(
% 69.71/70.11 Y, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 69.71/70.11 , 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Z, X ),
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 , clause( 181181, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 69.71/70.11 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 181182, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 69.71/70.11 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 X ) ) ] )
% 69.71/70.11 , clause( 181183, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 69.71/70.11 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 181184, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 69.71/70.11 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 69.71/70.11 , clause( 181185, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181186, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 181187, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181188, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.11 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 181189, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 69.71/70.11 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 69.71/70.11 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181190, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 69.71/70.11 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181191, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 69.71/70.11 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181192, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 69.71/70.11 X ) ) ] )
% 69.71/70.11 , clause( 181193, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 69.71/70.11 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 69.71/70.11 X ), X ) ) ] )
% 69.71/70.11 , clause( 181194, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 69.71/70.11 , clause( 181195, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 69.71/70.11 , clause( 181196, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 69.71/70.11 ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 69.71/70.11 , clause( 181197, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181198, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Y, Y, X ) ) ] )
% 69.71/70.11 , clause( 181199, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 69.71/70.11 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 69.71/70.11 , Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181200, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 69.71/70.11 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 69.71/70.11 , Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181201, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.11 Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181202, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.11 Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181203, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 69.71/70.11 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 Y, X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181204, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 69.71/70.11 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181205, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 69.71/70.11 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 69.71/70.11 Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181206, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 69.71/70.11 , clause( 181207, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 69.71/70.11 X ), X ) ) ] )
% 69.71/70.11 , clause( 181208, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 69.71/70.11 , Z, X ) ) ] )
% 69.71/70.11 , clause( 181209, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 181210, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 69.71/70.11 , X ), X ) ) ] )
% 69.71/70.11 , clause( 181211, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 69.71/70.11 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181212, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181213, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.11 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181214, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181215, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.11 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.11 Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181216, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 69.71/70.11 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 69.71/70.11 , clause( 181217, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.11 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 69.71/70.11 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 69.71/70.11 , clause( 181218, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 69.71/70.11 ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181219, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 69.71/70.11 ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181220, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 69.71/70.11 , X ), X ) ) ] )
% 69.71/70.11 , clause( 181221, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 69.71/70.11 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 69.71/70.11 , X ), X ) ) ] )
% 69.71/70.11 , clause( 181222, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 69.71/70.11 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 , clause( 181223, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 69.71/70.11 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 , clause( 181224, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 69.71/70.11 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 69.71/70.11 , clause( 181225, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 69.71/70.11 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 69.71/70.11 Z, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181226, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.11 'c_Complex_ORe'( X ), 'tc_RealDef_Oreal' ),
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 69.71/70.11 'tc_RealDef_Oreal' ) ] )
% 69.71/70.11 , clause( 181227, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.11 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.11 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 69.71/70.11 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.11 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.11 , clause( 181228, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 69.71/70.11 , clause( 181229, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181230, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181231, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181232, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 69.71/70.11 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 69.71/70.11 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181233, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 69.71/70.11 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 69.71/70.11 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181234, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 181235, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.11 , clause( 181236, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ), X ) ) ] )
% 69.71/70.11 , clause( 181237, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ), X ) ) ] )
% 69.71/70.11 , clause( 181238, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ), X ) ) ] )
% 69.71/70.11 , clause( 181239, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ), X ) ) ] )
% 69.71/70.11 , clause( 181240, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181241, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181242, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181243, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181244, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 69.71/70.11 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181245, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 69.71/70.11 , X ) ) ] )
% 69.71/70.11 , clause( 181246, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181247, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 69.71/70.11 ) ] )
% 69.71/70.11 , clause( 181248, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181249, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181250, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181251, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181252, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181253, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181254, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181255, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 69.71/70.11 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 69.71/70.11 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181256, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 69.71/70.11 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 69.71/70.11 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 69.71/70.11 , clause( 181257, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181258, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181259, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 69.71/70.11 , clause( 181260, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 69.71/70.11 , clause( 181261, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 69.71/70.11 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181262, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181263, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181264, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 69.71/70.11 , clause( 181265, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181266, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181267, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181268, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181269, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 181270, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181271, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181272, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 181273, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 181274, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 181275, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 69.71/70.11 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181276, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181277, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181278, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.11 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.11 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.11 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181279, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181280, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.11 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 69.71/70.11 ] )
% 69.71/70.11 , clause( 181281, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 181282, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.11 , clause( 181283, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 69.71/70.11 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.11 , clause( 181284, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.11 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 69.71/70.11 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.11 , clause( 181285, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 69.71/70.11 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 69.71/70.11 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 69.71/70.11 , clause( 181286, [ ~(
% 69.71/70.11 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 69.71/70.11 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 69.71/70.11 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 69.71/70.11 , clause( 181287, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.11 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 69.71/70.11 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 69.71/70.11 )
% 69.71/70.11 , clause( 181288, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 69.71/70.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 69.71/70.12 ), X ) ) ] )
% 69.71/70.12 , clause( 181289, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 69.71/70.12 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 69.71/70.12 , clause( 181290, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 69.71/70.12 ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 69.71/70.12 , 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 69.71/70.12 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.12 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 69.71/70.12 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181291, [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.12 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 69.71/70.12 , clause( 181292, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 69.71/70.12 , clause( 181293, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 69.71/70.12 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 69.71/70.12 , clause( 181294, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) )
% 69.71/70.12 , =( 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X )
% 69.71/70.12 , X ), 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181295, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 69.71/70.12 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 69.71/70.12 , clause( 181296, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 69.71/70.12 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 69.71/70.12 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 69.71/70.12 , clause( 181297, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 69.71/70.12 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 69.71/70.12 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 69.71/70.12 , X ), W, X ) ) ] )
% 69.71/70.12 , clause( 181298, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181299, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 69.71/70.12 , clause( 181300, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 69.71/70.12 , clause( 181301, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 69.71/70.12 , clause( 181302, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.12 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 69.71/70.12 Y, X ) ) ] )
% 69.71/70.12 , clause( 181303, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 69.71/70.12 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 69.71/70.12 Y, X ) ) ] )
% 69.71/70.12 , clause( 181304, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181305, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 69.71/70.12 ), =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y
% 69.71/70.12 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181306, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 69.71/70.12 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 69.71/70.12 Y, Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181307, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 69.71/70.12 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 69.71/70.12 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 69.71/70.12 , clause( 181308, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 69.71/70.12 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 69.71/70.12 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 69.71/70.12 , clause( 181309, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 69.71/70.12 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 69.71/70.12 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 69.71/70.12 , Y, X ) ) ] )
% 69.71/70.12 , clause( 181310, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 69.71/70.12 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 69.71/70.12 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 , Z, X ) ] )
% 69.71/70.12 , clause( 181311, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 69.71/70.12 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 69.71/70.12 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 69.71/70.12 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 , Z, X ) ] )
% 69.71/70.12 , clause( 181312, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 69.71/70.12 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 69.71/70.12 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.12 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 69.71/70.12 ), X ) ) ] )
% 69.71/70.12 , clause( 181313, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 69.71/70.12 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 69.71/70.12 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 69.71/70.12 ), X ) ) ] )
% 69.71/70.12 , clause( 181314, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 69.71/70.12 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.12 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 , T, X ) ] )
% 69.71/70.12 , clause( 181315, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 69.71/70.12 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 69.71/70.12 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 , T, X ) ] )
% 69.71/70.12 , clause( 181316, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 69.71/70.12 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.12 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 69.71/70.12 Z, X ) ) ] )
% 69.71/70.12 , clause( 181317, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 69.71/70.12 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 69.71/70.12 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 69.71/70.12 W, X ), X ) ) ] )
% 69.71/70.12 , clause( 181318, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 69.71/70.12 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 69.71/70.12 , X ), T, X ), W, X ) ) ] )
% 69.71/70.12 , clause( 181319, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 69.71/70.12 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 69.71/70.12 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 69.71/70.12 W, X ), X ) ) ] )
% 69.71/70.12 , clause( 181320, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 69.71/70.12 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 69.71/70.12 , X ), W, X ), X ) ) ] )
% 69.71/70.12 , clause( 181321, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 69.71/70.12 , X ) ) ] )
% 69.71/70.12 , clause( 181322, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181323, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 69.71/70.12 , clause( 181324, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.12 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.12 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.12 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 69.71/70.12 =( Y, T ) ] )
% 69.71/70.12 , clause( 181325, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 69.71/70.12 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.12 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.12 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 69.71/70.12 =( Y, T ) ] )
% 69.71/70.12 , clause( 181326, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 69.71/70.12 , X ) ) ] )
% 69.71/70.12 , clause( 181327, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 69.71/70.12 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 69.71/70.12 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 69.71/70.12 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181328, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.12 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181329, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 69.71/70.12 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181330, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 69.71/70.12 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181331, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181332, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 69.71/70.12 , clause( 181333, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 69.71/70.12 , clause( 181334, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 69.71/70.12 , clause( 181335, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.12 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 69.71/70.12 , clause( 181336, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 69.71/70.12 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181337, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181338, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181339, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181340, [ ~(
% 69.71/70.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 69.71/70.12 , clause( 181341, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 69.71/70.12 , X ) ) ] )
% 69.71/70.12 , clause( 181342, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 , X ) ) ] )
% 69.71/70.12 , clause( 181343, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181344, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 69.71/70.12 , clause( 181345, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 69.71/70.12 , clause( 181346, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 69.71/70.12 X ) ] )
% 69.71/70.12 , clause( 181347, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 69.71/70.12 , clause( 181348, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.12 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181349, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.12 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 69.71/70.12 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 69.71/70.12 Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181350, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 69.71/70.12 , clause( 181351, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 69.71/70.12 , clause( 181352, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 69.71/70.12 , clause( 181353, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 69.71/70.12 , clause( 181354, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.12 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 69.71/70.12 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 69.71/70.12 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 69.71/70.12 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181355, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 69.71/70.12 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181356, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181357, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 69.71/70.12 , clause( 181358, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 69.71/70.12 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 69.71/70.12 , clause( 181359, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.12 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 69.71/70.12 , clause( 181360, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 69.71/70.12 , clause( 181361, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181362, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181363, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181364, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181365, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181366, [ ~(
% 69.71/70.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 69.71/70.12 X ), X ) ) ] )
% 69.71/70.12 , clause( 181367, [ ~(
% 69.71/70.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 Z, T, X ) ) ] )
% 69.71/70.12 , clause( 181368, [ ~(
% 69.71/70.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 Z, T, X ) ) ] )
% 69.71/70.12 , clause( 181369, [ ~(
% 69.71/70.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 69.71/70.12 X ), X ) ) ] )
% 69.71/70.12 , clause( 181370, [ ~(
% 69.71/70.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 Y, T, X ) ) ] )
% 69.71/70.12 , clause( 181371, [ ~(
% 69.71/70.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 Y, T, X ) ) ] )
% 69.71/70.12 , clause( 181372, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ] )
% 69.71/70.12 , clause( 181373, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 69.71/70.12 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.12 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 69.71/70.12 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181374, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ] )
% 69.71/70.12 , clause( 181375, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.12 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.12 ) ) ] )
% 69.71/70.12 , clause( 181376, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.12 , Y, X ), X ) ) ] )
% 69.71/70.12 , clause( 181377, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 69.71/70.12 , T, X ), X ) ) ] )
% 69.71/70.12 , clause( 181378, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 69.71/70.12 , T, X ), X ) ) ] )
% 69.71/70.12 , clause( 181379, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.12 , Y, X ), X ) ) ] )
% 69.71/70.12 , clause( 181380, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 69.71/70.12 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ] )
% 69.71/70.12 , clause( 181381, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.12 , X ), X ), X ) ) ] )
% 69.71/70.12 , clause( 181382, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 69.71/70.12 , clause( 181383, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 69.71/70.12 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 69.71/70.12 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 69.71/70.12 , clause( 181384, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181385, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.12 Y, X ) ) ] )
% 69.71/70.12 , clause( 181386, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.12 Y, X ) ) ] )
% 69.71/70.12 , clause( 181387, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.12 Y, X ) ) ] )
% 69.71/70.12 , clause( 181388, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 69.71/70.12 Y, X ) ) ] )
% 69.71/70.12 , clause( 181389, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 69.71/70.12 ), X ) ) ] )
% 69.71/70.12 , clause( 181390, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 69.71/70.12 ), X ) ) ] )
% 69.71/70.12 , clause( 181391, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 69.71/70.12 ), X ) ) ] )
% 69.71/70.12 , clause( 181392, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 69.71/70.12 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 69.71/70.12 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181393, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 69.71/70.12 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 69.71/70.12 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 69.71/70.12 ), X ) ) ] )
% 69.71/70.12 , clause( 181394, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 69.71/70.12 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181395, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 69.71/70.12 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 69.71/70.12 , X ) ) ] )
% 69.71/70.12 , clause( 181396, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 69.71/70.12 , clause( 181397, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ] )
% 69.71/70.12 , clause( 181398, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 69.71/70.12 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181399, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181400, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181401, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.12 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 69.71/70.12 , clause( 181402, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 69.71/70.12 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 69.71/70.12 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 69.71/70.12 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181403, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 69.71/70.12 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 69.71/70.12 , clause( 181404, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 69.71/70.12 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 69.71/70.12 , clause( 181405, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181406, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 69.71/70.12 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181407, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 69.71/70.12 , clause( 181408, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181409, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 69.71/70.12 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181410, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181411, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 69.71/70.12 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181412, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 69.71/70.12 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181413, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 69.71/70.12 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181414, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 69.71/70.12 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181415, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 69.71/70.12 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181416, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 69.71/70.12 , clause( 181417, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 69.71/70.12 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.12 , clause( 181418, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 69.71/70.12 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.12 , clause( 181419, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 69.71/70.12 ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 69.71/70.12 , clause( 181420, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181421, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 69.71/70.12 =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181422, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181423, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 69.71/70.12 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181424, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 69.71/70.12 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 69.71/70.12 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_RealVector_Oof__real'( Y, X ), X ) ) ] )
% 69.71/70.12 , clause( 181425, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 69.71/70.12 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181426, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 69.71/70.12 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181427, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 69.71/70.12 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181428, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 69.71/70.12 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y,
% 69.71/70.12 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181429, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 69.71/70.12 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal'
% 69.71/70.12 ) ) ] )
% 69.71/70.12 , clause( 181430, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 69.71/70.12 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 69.71/70.12 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181431, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 69.71/70.12 =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181432, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 69.71/70.12 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 69.71/70.12 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181433, [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181434, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 69.71/70.12 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181435, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181436, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181437, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181438, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181439, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181440, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 69.71/70.12 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181441, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.12 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181442, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.12 'c_Polynomial_Opoly'( 'v_p', 'v_sko__unknown__thm__rV2__1'( 'v_p', 'v_r'
% 69.71/70.12 ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p', X,
% 69.71/70.12 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.12 ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( X,
% 69.71/70.12 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ), 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'v_r',
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181443, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.12 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 69.71/70.12 'tc_Complex_Ocomplex' ),
% 69.71/70.12 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 69.71/70.12 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 69.71/70.12 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181444, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 69.71/70.12 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181445, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 69.71/70.12 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 69.71/70.12 , clause( 181446, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 69.71/70.12 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181447, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 69.71/70.12 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181448, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181449, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 69.71/70.12 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 69.71/70.12 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181450, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 69.71/70.12 Y, X ) ] )
% 69.71/70.12 , clause( 181451, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 69.71/70.12 Y, Y, X ) ] )
% 69.71/70.12 , clause( 181452, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 69.71/70.12 , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.12 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181453, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181454, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181455, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 69.71/70.12 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 69.71/70.12 , clause( 181456, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 69.71/70.12 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181457, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 69.71/70.12 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181458, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 69.71/70.12 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 69.71/70.12 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181459, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 69.71/70.12 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.12 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 69.71/70.12 , clause( 181460, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181461, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181462, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 69.71/70.12 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181463, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.12 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 69.71/70.12 , clause( 181464, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 69.71/70.12 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 69.71/70.12 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181465, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181466, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 69.71/70.12 , clause( 181467, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 69.71/70.12 , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181468, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181469, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 69.71/70.12 , clause( 181470, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 69.71/70.12 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 69.71/70.12 , clause( 181471, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 69.71/70.12 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.12 , clause( 181472, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 69.71/70.12 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.12 , clause( 181473, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal'
% 69.71/70.12 ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181474, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.12 , X ) ) ), =( Y, Z ) ] )
% 69.71/70.12 , clause( 181475, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.12 , X ) ) ), =( Y, Z ) ] )
% 69.71/70.12 , clause( 181476, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 69.71/70.12 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 181477, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 69.71/70.12 , X ), X ) ) ] )
% 69.71/70.12 , clause( 181478, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181479, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 69.71/70.12 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 69.71/70.12 , clause( 181480, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 69.71/70.12 ), Y ) ] )
% 69.71/70.12 , clause( 181481, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 69.71/70.12 ) ) ] )
% 69.71/70.12 , clause( 181482, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 69.71/70.12 ) ) ] )
% 69.71/70.12 , clause( 181483, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 69.71/70.12 ), Y ) ] )
% 69.71/70.12 , clause( 181484, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 69.71/70.12 ), Y ) ] )
% 69.71/70.12 , clause( 181485, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181486, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 69.71/70.12 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 69.71/70.12 , clause( 181487, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 69.71/70.12 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 69.71/70.12 , clause( 181488, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 69.71/70.12 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 69.71/70.12 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 69.71/70.12 , clause( 181489, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181490, [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.12 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.12 , 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.12 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.12 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 69.71/70.12 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.12 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.12 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.12 , clause( 181491, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 69.71/70.12 , clause( 181492, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181493, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181494, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181495, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181496, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181497, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 69.71/70.12 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181498, [
% 69.71/70.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181499, [
% 69.71/70.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181500, [
% 69.71/70.12 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181501, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 69.71/70.12 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181502, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.12 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181503, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 69.71/70.12 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181504, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 69.71/70.12 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181505, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 69.71/70.12 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181506, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181507, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181508, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181509, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181510, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181511, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181512, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181513, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181514, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181515, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181516, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181517, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181518, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181519, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181520, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181521, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181522, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181523, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181524, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181525, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181526, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181527, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181528, [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181529, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181530, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181531, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181532, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181533, [ 'class_Power_Opower'( 'tc_nat' ) ] )
% 69.71/70.12 , clause( 181534, [
% 69.71/70.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181535, [
% 69.71/70.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181536, [
% 69.71/70.12 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181537, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181538, [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181539, [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181540, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181541, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181542, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181543, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181544, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181545, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181546, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181547, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181548, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181549, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181550, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181551, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181552, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181553, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181554, [ 'class_Ring__and__Field_Opordered__semiring'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181555, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181556, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181557, [ 'class_Ring__and__Field_Oordered__semiring'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181558, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181559, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181560, [ 'class_Ring__and__Field_Oordered__semidom'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181561, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181562, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181563, [ 'class_RealVector_Oreal__normed__algebra'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181564, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181565, [ 'class_RealVector_Oreal__normed__vector'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181566, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181567, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181568, [ 'class_Ring__and__Field_Opordered__ring'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181569, [ 'class_Ring__and__Field_Oordered__field'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181570, [ 'class_Ring__and__Field_Olordered__ring'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181571, [ 'class_Ring__and__Field_Odivision__ring'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181572, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181573, [ 'class_RealVector_Oreal__normed__field'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181574, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181575, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181576, [ 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181577, [ 'class_Lattices_Oupper__semilattice'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181578, [ 'class_Lattices_Olower__semilattice'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181579, [ 'class_Ring__and__Field_Omult__mono1'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181580, [ 'class_RealVector_Oreal__algebra__1'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181581, [ 'class_OrderedGroup_Oab__group__add'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181582, [ 'class_Ring__and__Field_Omult__zero'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181583, [ 'class_Ring__and__Field_Omult__mono'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181584, [ 'class_Ring__and__Field_Ocomm__ring'(
% 69.71/70.12 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181585, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181586, [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181587, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181588, [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181589, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181590, [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181591, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181592, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181593, [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181594, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181595, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181596, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181597, [ 'class_Nat_Osemiring__char__0'( 'tc_RealDef_Oreal' ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181598, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181599, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181600, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181601, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181602, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181603, [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.12 , clause( 181604, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181605, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181606, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181607, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181608, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181609, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181610, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181611, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181612, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181613, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181614, [ 'class_RealVector_Oreal__normed__algebra'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181615, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181616, [ 'class_RealVector_Oreal__normed__vector'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181617, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181618, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181619, [ 'class_Ring__and__Field_Odivision__ring'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181620, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181621, [ 'class_RealVector_Oreal__normed__field'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181622, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181623, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181624, [ 'class_RealVector_Oreal__algebra__1'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181625, [ 'class_OrderedGroup_Oab__group__add'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181626, [ 'class_Ring__and__Field_Omult__zero'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181627, [ 'class_Ring__and__Field_Ocomm__ring'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181628, [ 'class_OrderedGroup_Omonoid__mult'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181629, [ 'class_Ring__and__Field_Osemiring'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181630, [ 'class_RealVector_Oreal__algebra'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181631, [ 'class_OrderedGroup_Omonoid__add'(
% 69.71/70.12 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181632, [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181633, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181634, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181635, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 69.71/70.12 ) ] )
% 69.71/70.12 , clause( 181636, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181637, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181638, [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' )
% 69.71/70.12 ] )
% 69.71/70.12 , clause( 181639, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181640, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.12 , clause( 181641, [
% 69.71/70.12 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181642, [
% 69.71/70.12 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181643, [
% 69.71/70.12 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181644, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181645, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181646, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181647, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181648, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181649, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181650, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181651, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 69.71/70.12 , clause( 181652, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181653, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181654, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181655, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 69.71/70.12 , clause( 181656, [ 'class_Ring__and__Field_Opordered__semiring'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181657, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181658, [ 'class_Ring__and__Field_Oordered__semiring'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181659, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 69.71/70.12 )
% 69.71/70.12 , clause( 181660, [ 'class_Ring__and__Field_Oordered__semidom'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181661, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 69.71/70.12 , clause( 181662, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 69.71/70.12 , clause( 181663, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 69.71/70.12 , clause( 181664, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 69.71/70.12 , clause( 181665, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181666, [ 'class_Ring__and__Field_Opordered__ring'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181667, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 69.71/70.12 , clause( 181668, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181669, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 69.71/70.12 , clause( 181670, [ 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181671, [ 'class_Ring__and__Field_Omult__mono1'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181672, [ 'class_OrderedGroup_Oab__group__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 69.71/70.12 ) ) ] )
% 69.71/70.12 , clause( 181673, [ 'class_Ring__and__Field_Omult__zero'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 69.71/70.12 , clause( 181674, [ 'class_Ring__and__Field_Omult__mono'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181675, [ 'class_Ring__and__Field_Ocomm__ring'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 69.71/70.12 ) ) ] )
% 69.71/70.12 , clause( 181676, [ 'class_OrderedGroup_Omonoid__mult'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 69.71/70.12 , clause( 181677, [ 'class_Ring__and__Field_Osemiring'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 69.71/70.12 , clause( 181678, [ 'class_OrderedGroup_Omonoid__add'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181679, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'(
% 69.71/70.12 X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 69.71/70.12 , clause( 181680, [ 'class_Ring__and__Field_Oabs__if'(
% 69.71/70.12 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.12 X ) ) ] )
% 69.71/70.12 , clause( 181681, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'(
% 69.71/70.12 X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 69.71/70.12 , clause( 181682, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'(
% 69.71/70.12 X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 69.71/70.12 , clause( 181683, [ 'class_Nat_Osemiring__char__0'( 'tc_Polynomial_Opoly'(
% 69.71/70.12 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 69.71/70.12 , clause( 181684, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X )
% 69.71/70.12 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 69.71/70.12 , clause( 181685, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X )
% 69.71/70.12 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 69.71/70.12 , clause( 181686, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) )
% 69.71/70.12 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 69.71/70.12 , clause( 181687, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 69.71/70.12 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 69.71/70.12 , clause( 181688, [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 69.71/70.12 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 69.71/70.12 ] ).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 eqswap(
% 69.71/70.12 clause( 181691, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( X, Z ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 69.71/70.12 , Z ), Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.12 , clause( 180740, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 69.71/70.12 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 69.71/70.12 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.12 , X ), X ) ) ] )
% 69.71/70.12 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 subsumption(
% 69.71/70.12 clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 69.71/70.12 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.12 , X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ] )
% 69.71/70.12 , clause( 181691, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( X, Z ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 69.71/70.12 , Z ), Z ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 69.71/70.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 paramod(
% 69.71/70.12 clause( 181709, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z
% 69.71/70.12 ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ), Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.12 , clause( 3, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 69.71/70.12 =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.12 , X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ] )
% 69.71/70.12 , 1, clause( 180743, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X
% 69.71/70.12 ) ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Oupper__semilattice__class_Osup'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 69.71/70.12 , X ), X ), X ) ) ] )
% 69.71/70.12 , 1, 6, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] ),
% 69.71/70.12 substitution( 1, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 eqswap(
% 69.71/70.12 clause( 181710, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ), Z ),
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.12 , clause( 181709, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 69.71/70.12 Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ), Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.12 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 factor(
% 69.71/70.12 clause( 181711, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ), Z ),
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.12 , clause( 181710, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ), Z ),
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.12 , 1, 2, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 subsumption(
% 69.71/70.12 clause( 6, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), X ),
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 69.71/70.12 , clause( 181711, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ), Z ),
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ) ), ~(
% 69.71/70.12 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.12 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 69.71/70.12 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 subsumption(
% 69.71/70.12 clause( 98, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) )
% 69.71/70.12 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.12 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 180852, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.12 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 69.71/70.12 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 69.71/70.12 1 )] ) ).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 subsumption(
% 69.71/70.12 clause( 134, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.12 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 69.71/70.12 , clause( 180891, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.12 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 69.71/70.12 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.71/70.12 ), ==>( 1, 1 )] ) ).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 subsumption(
% 69.71/70.12 clause( 185, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 69.71/70.12 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.12 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , clause( 180944, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 69.71/70.12 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.12 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.12 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 69.71/70.12 1 )] ) ).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 subsumption(
% 69.71/70.12 clause( 196, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 69.71/70.12 ), =( Z, Y ) ] )
% 69.71/70.12 , clause( 180960, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 69.71/70.12 ), =( Z, Y ) ] )
% 69.71/70.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.71/70.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 69.71/70.12 ).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 subsumption(
% 69.71/70.12 clause( 197, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.12 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 69.71/70.12 , clause( 180961, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.12 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.12 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 69.71/70.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.71/70.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 subsumption(
% 69.71/70.12 clause( 253, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 69.71/70.12 , clause( 181018, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 69.71/70.12 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 69.71/70.12 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 69.71/70.12 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 69.71/70.12 ).
% 69.71/70.12
% 69.71/70.12
% 69.71/70.12 subsumption(
% 69.71/70.12 clause( 263, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 69.71/70.12 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 69.71/70.15 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.15 , clause( 181028, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 69.71/70.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 69.71/70.15 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.15 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 69.71/70.15 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 69.71/70.15 ).
% 69.71/70.15
% 69.71/70.15
% 69.71/70.15 subsumption(
% 69.71/70.15 clause( 488, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 69.71/70.15 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X )
% 69.71/70.15 , 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.15 , clause( 181294, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) )
% 69.71/70.15 , =( 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X )
% 69.71/70.15 , X ), 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.71/70.15 ), ==>( 1, 1 )] ) ).
% 69.71/70.15
% 69.71/70.15
% 69.71/70.15 subsumption(
% 69.71/70.15 clause( 522, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 69.71/70.15 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 69.71/70.15 , clause( 181334, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 69.71/70.15 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 69.71/70.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.71/70.15 ), ==>( 1, 1 )] ) ).
% 69.71/70.15
% 69.71/70.15
% 69.71/70.15 subsumption(
% 69.71/70.15 clause( 612, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.15 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 69.71/70.15 , clause( 181435, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.15 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 69.71/70.15 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.15
% 69.71/70.15
% 69.71/70.15 subsumption(
% 69.71/70.15 clause( 620, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 69.71/70.15 Y, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.15 , clause( 181444, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 69.71/70.15 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.15 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.71/70.15 ), ==>( 1, 1 )] ) ).
% 69.71/70.15
% 69.71/70.15
% 69.71/70.15 factor(
% 69.71/70.15 clause( 187302, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.15 , clause( 181444, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 69.71/70.15 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.15 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 69.71/70.15
% 69.71/70.15
% 69.71/70.15 subsumption(
% 69.71/70.15 clause( 624, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.15 , clause( 187302, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.15 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.15
% 69.71/70.15
% 69.71/70.15 eqswap(
% 69.71/70.15 clause( 188153, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.15 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.15 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.15 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.15 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 69.71/70.15 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 69.71/70.15 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.15 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ), ~( 'c_lessequals'(
% 69.71/70.15 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.15 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.15 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.15 , clause( 181490, [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.15 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.15 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.15 , 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.15 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 69.71/70.15 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.15 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.15 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 69.71/70.15 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.15 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.15 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.15 , 0, substitution( 0, [] )).
% 69.71/70.15
% 69.71/70.15
% 69.71/70.15 subsumption(
% 69.71/70.15 clause( 656, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.15 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.15 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.15 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.15 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 69.71/70.15 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ), ~( 'c_lessequals'(
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 188153, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.19 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ), ~( 'c_lessequals'(
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 69.71/70.19 ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 709, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , clause( 181543, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 717, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , clause( 181551, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 742, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal'
% 69.71/70.19 ) ] )
% 69.71/70.19 , clause( 181576, [ 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 743, [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ]
% 69.71/70.19 )
% 69.71/70.19 , clause( 181577, [ 'class_Lattices_Oupper__semilattice'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 764, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , clause( 181598, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 766, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , clause( 181600, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 767, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , clause( 181601, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 775, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 69.71/70.19 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.19 , clause( 181609, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 69.71/70.19 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 790, [ 'class_RealVector_Oreal__algebra__1'( 'tc_Complex_Ocomplex'
% 69.71/70.19 ) ] )
% 69.71/70.19 , clause( 181624, [ 'class_RealVector_Oreal__algebra__1'(
% 69.71/70.19 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195813, [ =( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.19 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ) ] )
% 69.71/70.19 , clause( 98, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X )
% 69.71/70.19 ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.19 , 1, substitution( 0, [ :=( X, X )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195814, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 69.71/70.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.19 ), 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195813, [ =( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 69.71/70.19 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ) ] )
% 69.71/70.19 , 1, clause( 709, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, 'tc_RealDef_Oreal' )] ), substitution( 1, [] )
% 69.71/70.19 ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195815, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195814, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 69.71/70.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.19 ), 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, substitution( 0, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 12055, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195815, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195816, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 69.71/70.19 ) ] )
% 69.71/70.19 , clause( 522, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 69.71/70.19 , 0, clause( 764, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, 'tc_RealDef_Oreal' ), :=( Y, X )] ),
% 69.71/70.19 substitution( 1, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 21242, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) )
% 69.71/70.19 ] )
% 69.71/70.19 , clause( 195816, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal'
% 69.71/70.19 ) ) ] )
% 69.71/70.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195817, [ =( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, X
% 69.71/70.19 , Y ) ), ~( 'class_Lattices_Oupper__semilattice'( Y ) ) ] )
% 69.71/70.19 , clause( 134, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 69.71/70.19 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 69.71/70.19 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195818, [ =( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, X
% 69.71/70.19 , 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195817, [ =( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 69.71/70.19 X, Y ) ), ~( 'class_Lattices_Oupper__semilattice'( Y ) ) ] )
% 69.71/70.19 , 1, clause( 743, [ 'class_Lattices_Oupper__semilattice'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'tc_RealDef_Oreal' )] ),
% 69.71/70.19 substitution( 1, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195819, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , clause( 195818, [ =( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 69.71/70.19 X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, X )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 23838, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , clause( 195819, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195820, [ =( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.19 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.19 ), X ) ), ~( 'class_RealVector_Oreal__algebra__1'( X ) ) ] )
% 69.71/70.19 , clause( 185, [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 69.71/70.19 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.19 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 69.71/70.19 , 1, substitution( 0, [ :=( X, X )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195821, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.19 ), 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , clause( 195820, [ =( 'c_HOL_Ozero__class_Ozero'( X ),
% 69.71/70.19 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 69.71/70.19 ), X ) ), ~( 'class_RealVector_Oreal__algebra__1'( X ) ) ] )
% 69.71/70.19 , 1, clause( 790, [ 'class_RealVector_Oreal__algebra__1'(
% 69.71/70.19 'tc_Complex_Ocomplex' ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' )] ), substitution( 1
% 69.71/70.19 , [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195822, [ =( 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , clause( 195821, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 69.71/70.19 , 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , 0, substitution( 0, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 36211, [ =( 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , clause( 195822, [ =( 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195824, [ =( X, 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 69.71/70.19 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, Z ), Z ) ), ~(
% 69.71/70.19 'class_Lattices_Olattice'( Z ) ) ] )
% 69.71/70.19 , clause( 197, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 69.71/70.19 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 69.71/70.19 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 69.71/70.19 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 paramod(
% 69.71/70.19 clause( 195825, [ =( X, 'c_Lattices_Olower__semilattice__class_Oinf'( X, X
% 69.71/70.19 , 'tc_RealDef_Oreal' ) ), ~( 'class_Lattices_Olattice'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 23838, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , 0, clause( 195824, [ =( X, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 69.71/70.19 X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, Z ), Z ) ), ~(
% 69.71/70.19 'class_Lattices_Olattice'( Z ) ) ] )
% 69.71/70.19 , 0, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 69.71/70.19 :=( Y, X ), :=( Z, 'tc_RealDef_Oreal' )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195826, [ =( X, 'c_Lattices_Olower__semilattice__class_Oinf'( X, X
% 69.71/70.19 , 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195825, [ =( X, 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 69.71/70.19 X, 'tc_RealDef_Oreal' ) ), ~( 'class_Lattices_Olattice'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 1, clause( 766, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195827, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , clause( 195826, [ =( X, 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 69.71/70.19 X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, X )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 39884, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , clause( 195827, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195829, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z
% 69.71/70.19 ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ), Z ) ), ~(
% 69.71/70.19 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.19 , clause( 6, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 69.71/70.19 =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), X ),
% 69.71/70.19 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 69.71/70.19 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 paramod(
% 69.71/70.19 clause( 195831, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ) ), ~( 'class_OrderedGroup_Olordered__ab__group__add'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 39884, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , 0, clause( 195829, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 69.71/70.19 Y, Z ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, Z ), Z ), Z ) ), ~(
% 69.71/70.19 'class_OrderedGroup_Olordered__ab__group__add'( Z ) ) ] )
% 69.71/70.19 , 0, 7, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X ),
% 69.71/70.19 :=( Y, X ), :=( Z, 'tc_RealDef_Oreal' )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 paramod(
% 69.71/70.19 clause( 195832, [ =( X, 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ) ), ~( 'class_OrderedGroup_Olordered__ab__group__add'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 39884, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , 0, clause( 195831, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 69.71/70.19 X, 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ) ), ~( 'class_OrderedGroup_Olordered__ab__group__add'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 69.71/70.19 ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195835, [ =( X, 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195832, [ =( X, 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ) ), ~( 'class_OrderedGroup_Olordered__ab__group__add'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 1, clause( 717, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195836, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , clause( 195835, [ =( X, 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, X )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 39932, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , clause( 195836, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 paramod(
% 69.71/70.19 clause( 195839, [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.19 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ), ~( 'c_lessequals'(
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 39932, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'tc_RealDef_Oreal' ), X ) ] )
% 69.71/70.19 , 0, clause( 656, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'(
% 69.71/70.19 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.19 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ), ~( 'c_lessequals'(
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, 2, substitution( 0, [ :=( X, 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.19 )] ), substitution( 1, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqrefl(
% 69.71/70.19 clause( 195840, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195839, [ ~( =( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 69.71/70.19 , 'c_RealVector_Onorm__class_Onorm'( 'c_Polynomial_Opoly'( 'v_p',
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ), ~( 'c_lessequals'(
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, substitution( 0, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 40267, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195840, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195841, [ 'c_lessequals'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , clause( 40267, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, clause( 620, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X,
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ), :=( Y, 'v_r' )] )
% 69.71/70.19 ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 41667, [ 'c_lessequals'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , clause( 195841, [ 'c_lessequals'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 69.71/70.19 )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195842, [ ~( 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.19 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 21242, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 69.71/70.19 ) ] )
% 69.71/70.19 , 0, clause( 253, [ ~( 'class_Orderings_Oorder'( X ) ),
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 69.71/70.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 69.71/70.19 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 69.71/70.19 'tc_RealDef_Oreal' ), :=( Y, X ), :=( Z, X ), :=( T, Y )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195843, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195842, [ ~( 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ),
% 69.71/70.19 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, clause( 767, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 69.71/70.19 ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 62377, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195843, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 69.71/70.19 ), ==>( 1, 1 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195844, [ ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 62377, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, clause( 41667, [ 'c_lessequals'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 69.71/70.19 )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, 'v_r' ), :=( Y,
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) )] ), substitution( 1, [] )
% 69.71/70.19 ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 62489, [ ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195844, [ ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195845, [ ~( 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 69.71/70.19 ] )
% 69.71/70.19 , clause( 62377, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, clause( 612, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [ :=( X, 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ), :=( Y, 'v_r' )] ), substitution( 1, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 62499, [ ~( 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 69.71/70.19 ] )
% 69.71/70.19 , clause( 195845, [ ~( 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 69.71/70.19 ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195846, [ ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 =( 'v_r', 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , clause( 62489, [ ~( 'c_HOL_Oord__class_Oless'(
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r',
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, clause( 196, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 69.71/70.19 ), =( Z, Y ) ] )
% 69.71/70.19 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'tc_RealDef_Oreal' )
% 69.71/70.19 , :=( Y, 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ), :=( Z, 'v_r' )] )
% 69.71/70.19 ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195848, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 =( 'v_r', 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , clause( 195846, [ ~( 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 =( 'v_r', 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , 0, clause( 742, [ 'class_Ring__and__Field_Oordered__idom'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195849, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'v_r' ), 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 69.71/70.19 )
% 69.71/70.19 , clause( 195848, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 =( 'v_r', 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , 1, substitution( 0, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 62826, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r' ) ] )
% 69.71/70.19 , clause( 195849, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'v_r' ), 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 69.71/70.19 )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 69.71/70.19 ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195851, [ ~( 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ),
% 69.71/70.19 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) )
% 69.71/70.19 ] )
% 69.71/70.19 , clause( 40267, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, clause( 263, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 69.71/70.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 69.71/70.19 'c_lessequals'( Y, Z, X ) ) ] )
% 69.71/70.19 , 2, substitution( 0, [] ), substitution( 1, [ :=( X, 'tc_RealDef_Oreal' )
% 69.71/70.19 , :=( Y, 'v_r' ), :=( Z, 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ) )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 paramod(
% 69.71/70.19 clause( 195853, [ ~( 'c_lessequals'( 'v_r', 'v_r', 'tc_RealDef_Oreal' ) ),
% 69.71/70.19 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~(
% 69.71/70.19 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ),
% 69.71/70.19 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , clause( 62826, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_r' ) ] )
% 69.71/70.19 , 1, clause( 195851, [ ~( 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' )
% 69.71/70.19 ), 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) )
% 69.71/70.19 ] )
% 69.71/70.19 , 2, 3, substitution( 0, [] ), substitution( 1, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 factor(
% 69.71/70.19 clause( 195874, [ ~( 'c_lessequals'( 'v_r', 'v_r', 'tc_RealDef_Oreal' ) ),
% 69.71/70.19 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~(
% 69.71/70.19 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195853, [ ~( 'c_lessequals'( 'v_r', 'v_r', 'tc_RealDef_Oreal' ) )
% 69.71/70.19 , 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~(
% 69.71/70.19 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ),
% 69.71/70.19 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 1, 3, substitution( 0, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195875, [ ~( 'c_lessequals'( 'v_r', 'v_r', 'tc_RealDef_Oreal' ) ),
% 69.71/70.19 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , clause( 195874, [ ~( 'c_lessequals'( 'v_r', 'v_r', 'tc_RealDef_Oreal' ) )
% 69.71/70.19 , 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ), ~(
% 69.71/70.19 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 2, clause( 764, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 69956, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 ~( 'c_lessequals'( 'v_r', 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , clause( 195875, [ ~( 'c_lessequals'( 'v_r', 'v_r', 'tc_RealDef_Oreal' ) )
% 69.71/70.19 , 'c_HOL_Oord__class_Oless'( 'v_r', 'c_RealVector_Onorm__class_Onorm'(
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 69.71/70.19 ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 resolution(
% 69.71/70.19 clause( 195876, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 69.71/70.19 )
% 69.71/70.19 , clause( 69956, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 ~( 'c_lessequals'( 'v_r', 'v_r', 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 1, clause( 624, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 69.71/70.19 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_r' )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 subsumption(
% 69.71/70.19 clause( 80648, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 69.71/70.19 )
% 69.71/70.19 , clause( 195876, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 69.71/70.19 )
% 69.71/70.19 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 eqswap(
% 69.71/70.19 clause( 195878, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( X, Y ), Y )
% 69.71/70.19 ), ~( 'class_RealVector_Oreal__normed__algebra__1'( Y ) ) ] )
% 69.71/70.19 , clause( 488, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 69.71/70.19 =( 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( Y, X ), X
% 69.71/70.19 ), 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 paramod(
% 69.71/70.19 clause( 195880, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ), ~(
% 69.71/70.19 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' ) ) ]
% 69.71/70.19 )
% 69.71/70.19 , clause( 36211, [ =( 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ) ) ] )
% 69.71/70.19 , 0, clause( 195878, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 69.71/70.19 , 'c_RealVector_Onorm__class_Onorm'( 'c_RealVector_Oof__real'( X, Y ), Y
% 69.71/70.19 ) ), ~( 'class_RealVector_Oreal__normed__algebra__1'( Y ) ) ] )
% 69.71/70.19 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X,
% 69.71/70.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), :=( Y,
% 69.71/70.19 'tc_Complex_Ocomplex' )] )).
% 69.71/70.19
% 69.71/70.19
% 69.71/70.19 paramod(
% 69.71/70.19 clause( 195881, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 69.71/70.19 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ), ~(
% 69.71/70.19 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' ) ) ]
% 69.71/70.19 )
% 69.71/70.19 , clause( 12055, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 69.71/70.19 'tc_RealDef_Oreal' ) ) ] )
% 69.71/70.19 , 0, clause( 195880, [ =( 'c_HOL_Oabs__class_Oabs'(
% 69.84/70.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 69.84/70.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.84/70.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ), ~(
% 69.84/70.20 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' ) ) ]
% 69.84/70.20 )
% 69.84/70.20 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 69.84/70.20
% 69.84/70.20
% 69.84/70.20 resolution(
% 69.84/70.20 clause( 195882, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 69.84/70.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.84/70.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 69.84/70.20 , clause( 195881, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 69.84/70.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.84/70.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ), ~(
% 69.84/70.20 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' ) ) ]
% 69.84/70.20 )
% 69.84/70.20 , 1, clause( 775, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 69.84/70.20 'tc_Complex_Ocomplex' ) ] )
% 69.84/70.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 69.84/70.20
% 69.84/70.20
% 69.84/70.20 eqswap(
% 69.84/70.20 clause( 195883, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 69.84/70.20 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.84/70.20 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 69.84/70.20 ) ] )
% 69.84/70.20 , clause( 195882, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 69.84/70.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.84/70.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 69.84/70.20 , 0, substitution( 0, [] )).
% 69.84/70.20
% 69.84/70.20
% 69.84/70.20 subsumption(
% 69.84/70.20 clause( 180705, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 69.84/70.20 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.84/70.20 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 69.84/70.20 ) ] )
% 69.84/70.20 , clause( 195883, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 69.84/70.20 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.84/70.20 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 69.84/70.20 ) ] )
% 69.84/70.20 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 69.84/70.20
% 69.84/70.20
% 69.84/70.20 paramod(
% 69.84/70.20 clause( 195885, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.84/70.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 69.84/70.20 )
% 69.84/70.20 , clause( 180705, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 69.84/70.20 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 69.84/70.20 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 69.84/70.20 ) ] )
% 69.84/70.20 , 0, clause( 80648, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.84/70.20 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 69.84/70.20 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ]
% 69.84/70.20 )
% 69.84/70.20 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 69.84/70.20
% 69.84/70.20
% 69.84/70.20 resolution(
% 69.84/70.20 clause( 195886, [] )
% 69.84/70.20 , clause( 62499, [ ~( 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.84/70.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 69.84/70.20 ] )
% 69.84/70.20 , 0, clause( 195885, [ 'c_HOL_Oord__class_Oless'( 'v_r',
% 69.84/70.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 69.84/70.20 )
% 69.84/70.20 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 69.84/70.20
% 69.84/70.20
% 69.84/70.20 subsumption(
% 69.84/70.20 clause( 180735, [] )
% 69.84/70.20 , clause( 195886, [] )
% 69.84/70.20 , substitution( 0, [] ), permutation( 0, [] ) ).
% 69.84/70.20
% 69.84/70.20
% 69.84/70.20 end.
% 69.84/70.20
% 69.84/70.20 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 69.84/70.20
% 69.84/70.20 Memory use:
% 69.84/70.20
% 69.84/70.20 space for terms: 5754087
% 69.84/70.20 space for clauses: 7821568
% 69.84/70.20
% 69.84/70.20
% 69.84/70.20 clauses generated: 998056
% 69.84/70.20 clauses kept: 180736
% 69.84/70.20 clauses selected: 2270
% 69.84/70.20 clauses deleted: 9943
% 69.84/70.20 clauses inuse deleted: 168
% 69.84/70.20
% 69.84/70.20 subsentry: 5055969
% 69.84/70.20 literals s-matched: 3356570
% 69.84/70.20 literals matched: 3013324
% 69.84/70.20 full subsumption: 1983611
% 69.84/70.20
% 69.84/70.20 checksum: 1114400105
% 69.84/70.20
% 69.84/70.20
% 69.84/70.20 Bliksem ended
%------------------------------------------------------------------------------