TSTP Solution File: ALG348-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG348-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 12:10:26 EDT 2022
% Result : Unsatisfiable 280.61s 281.14s
% Output : Refutation 280.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : ALG348-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.09 % Command : bliksem %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % DateTime : Wed Jun 8 18:13:22 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.60/1.01 *** allocated 10000 integers for termspace/termends
% 0.60/1.01 *** allocated 10000 integers for clauses
% 0.60/1.01 *** allocated 10000 integers for justifications
% 0.60/1.01 *** allocated 15000 integers for termspace/termends
% 0.60/1.01 *** allocated 22500 integers for termspace/termends
% 0.60/1.01 Bliksem 1.12
% 0.60/1.01
% 0.60/1.01
% 0.60/1.01 Automatic Strategy Selection
% 0.60/1.01
% 0.60/1.01 Clauses:
% 0.60/1.01 [
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.60/1.01 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.60/1.01 , X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.60/1.01 , X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.60/1.01 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.60/1.01 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.60/1.01 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.01 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.60/1.01 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.60/1.01 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.60/1.01 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.60/1.01 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.60/1.01 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.60/1.01 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.01 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.01 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.60/1.01 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.01 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.60/1.01 X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.60/1.01 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.60/1.01 Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.60/1.01 Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.60/1.01 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.60/1.01 X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.60/1.01 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.60/1.01 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 X ), T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.60/1.01 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 T, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.60/1.01 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.60/1.01 Y, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.60/1.01 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 T, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.60/1.01 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.60/1.01 Y, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.01 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.01 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.60/1.01 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.60/1.01 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.60/1.01 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.60/1.01 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.60/1.01 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.60/1.01 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.60/1.01 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.60/1.01 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.60/1.01 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.60/1.01 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.60/1.01 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.60/1.01 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.60/1.01 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.60/1.01 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.60/1.01 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.60/1.01 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.60/1.01 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.60/1.01 ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.01 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.01 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.01 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.60/1.01 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.60/1.01 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.60/1.01 T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.60/1.01 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.60/1.01 X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.60/1.01 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.60/1.01 T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.60/1.01 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.60/1.01 X ), T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.60/1.01 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.60/1.01 T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.60/1.01 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.60/1.01 X ), T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.60/1.01 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.60/1.01 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.60/1.01 ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.60/1.01 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.60/1.01 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 Y, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.60/1.01 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.60/1.01 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.01 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.60/1.01 X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.60/1.01 , Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.60/1.01 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.60/1.01 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.60/1.01 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.60/1.01 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.60/1.01 ), =( Z, Y ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.01 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.60/1.01 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.60/1.01 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.01 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.60/1.01 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.60/1.01 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.60/1.01 , X ) ) ), =( Y, Z ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.60/1.01 , X ) ) ), =( Y, Z ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.01 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.01 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.60/1.01 ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.60/1.01 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.01 ), X ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 Z, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.60/1.01 , X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.60/1.01 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.60/1.01 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.60/1.01 ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.01 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.60/1.01 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.60/1.01 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.60/1.01 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.60/1.01 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.60/1.01 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.60/1.01 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.60/1.01 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.60/1.01 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.01 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.60/1.01 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.60/1.01 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.60/1.01 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.60/1.01 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.60/1.01 X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.60/1.01 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.60/1.01 X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.60/1.01 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.60/1.01 X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.60/1.01 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.60/1.01 X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 Y, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.60/1.01 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.60/1.01 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.60/1.01 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.60/1.01 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.60/1.01 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.01 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.60/1.01 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.60/1.01 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.60/1.01 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.01 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.60/1.01 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 Y, T, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.60/1.01 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 Y, T, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.60/1.01 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.60/1.01 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.60/1.01 X ), X ), Y ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.60/1.01 , X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.60/1.01 , X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.60/1.01 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.60/1.01 X ), X ), X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 0.60/1.01 Z, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.60/1.01 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.60/1.01 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.60/1.01 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.60/1.01 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.60/1.01 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.60/1.01 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.60/1.01 , X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.60/1.01 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.60/1.01 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.60/1.01 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 T, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.60/1.01 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.60/1.01 'c_lessequals'( Z, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.60/1.01 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.60/1.01 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 T, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.60/1.01 , T, X ), X ), T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.60/1.01 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.60/1.01 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.60/1.01 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.60/1.01 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.60/1.01 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.60/1.01 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.60/1.01 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.60/1.01 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.60/1.01 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 0.60/1.01 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.60/1.01 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.60/1.01 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.60/1.01 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.60/1.01 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.60/1.01 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.60/1.01 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.60/1.01 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ),
% 0.60/1.01 T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.60/1.01 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 0.60/1.01 X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.60/1.01 , T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.60/1.01 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.60/1.01 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.60/1.01 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.60/1.01 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.60/1.01 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.60/1.01 , X ), W, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.60/1.01 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.60/1.01 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.60/1.01 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.60/1.01 , X ), T, X ), W, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.01 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.60/1.01 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.01 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.60/1.01 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.01 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.60/1.01 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.01 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.60/1.01 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.60/1.01 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.60/1.01 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.60/1.01 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 0.60/1.01 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.60/1.01 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.60/1.01 ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.60/1.01 , X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.60/1.01 , X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.60/1.01 , X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.60/1.01 ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.60/1.01 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.60/1.01 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.60/1.01 X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 T, X ) ) ],
% 0.60/1.01 [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'( X ),
% 0.60/1.01 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.60/1.01 'tc_Complex_Ocomplex' ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , Y, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.60/1.01 , Z, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.60/1.01 , Z, X ), X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.60/1.01 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.60/1.01 ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.60/1.01 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.60/1.01 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.60/1.01 ), X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 0.60/1.01 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.60/1.01 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.60/1.01 ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.60/1.01 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.60/1.01 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.60/1.01 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.01 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.60/1.01 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.60/1.01 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.01 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.60/1.01 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.60/1.01 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.60/1.01 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.01 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.60/1.01 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.60/1.01 ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.60/1.01 ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.60/1.01 ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.60/1.01 ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.01 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.01 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.60/1.01 , T, X ) ) ), =( Z, T ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.60/1.01 , T, X ) ) ), =( Y, Z ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 0.60/1.01 X ), X ), Y ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.60/1.01 , T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.60/1.01 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.60/1.01 ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 X ), T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.60/1.01 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.60/1.01 ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.01 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.60/1.01 Y, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.60/1.01 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.60/1.01 'c_lessequals'( Z, Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.60/1.01 'c_lessequals'( Y, Z, X ) ],
% 0.60/1.01 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.60/1.01 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( T, Y
% 0.60/1.01 , X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, T
% 0.60/1.01 , X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 0.60/1.01 X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.60/1.01 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 0.60/1.01 X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 0.60/1.01 X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 0.60/1.01 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.60/1.01 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.01 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.60/1.01 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.60/1.01 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.01 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 0.60/1.01 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 0.60/1.01 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.01 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.01 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), =(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ),
% 0.60/1.01 T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.60/1.01 T, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.60/1.01 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.60/1.01 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.60/1.01 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.60/1.01 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.60/1.01 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.60/1.01 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.60/1.01 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.60/1.01 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.60/1.01 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.60/1.01 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.01 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.60/1.01 , X ), W, X ) ) ],
% 0.60/1.01 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.01 X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.60/1.01 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.60/1.01 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.60/1.01 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.60/1.01 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.01 ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.01 ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.01 ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.60/1.01 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.01 ), X ) ) ],
% 0.60/1.01 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.60/1.01 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.60/1.01 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.60/1.01 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.60/1.01 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 0.60/1.01 X ) ) ],
% 0.60/1.01 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.60/1.01 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.01 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.60/1.01 , T, X ), X ), T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.60/1.01 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 0.60/1.01 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.60/1.01 T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 0.60/1.01 T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.01 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 0.60/1.01 T, X ) ) ],
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.01 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ]
% 0.60/1.01 ,
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.60/1.01 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.01 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.60/1.01 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.60/1.01 , Y, X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.01 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.60/1.01 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 , Z, X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.60/1.01 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.60/1.01 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.01 , Z, X ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.01 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.60/1.01 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.60/1.01 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.01 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.60/1.01 ), X ) ) ],
% 0.60/1.01 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.01 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.60/1.02 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.02 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.60/1.02 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.60/1.02 ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.60/1.02 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.60/1.02 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 , T, X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.60/1.02 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.60/1.02 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 , T, X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.60/1.02 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.02 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.60/1.02 Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.60/1.02 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.60/1.02 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.02 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.60/1.02 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.60/1.02 W, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.60/1.02 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.60/1.02 , X ), T, X ), W, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.60/1.02 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.60/1.02 W, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.60/1.02 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.60/1.02 , X ), W, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.60/1.02 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.60/1.02 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.02 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.02 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z,
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T,
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.02 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.02 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.02 , X ), 'c_HOL_Oord__class_Oless'( Y, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Y, 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.60/1.02 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.60/1.02 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.02 , X ), 'c_HOL_Oord__class_Oless'( T, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.60/1.02 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 0.60/1.02 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 0.60/1.02 X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 , X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.02 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.60/1.02 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.60/1.02 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.02 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 0.60/1.02 Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.60/1.02 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.60/1.02 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.60/1.02 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.60/1.02 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 ) ), =( Y, Z ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 ) ), =( Y, Z ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.02 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.60/1.02 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.60/1.02 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.60/1.02 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.60/1.02 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.60/1.02 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.60/1.02 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.60/1.02 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.60/1.02 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.60/1.02 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.02 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.60/1.02 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.60/1.02 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.02 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( T
% 0.60/1.02 , Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.02 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z
% 0.60/1.02 , T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.60/1.02 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.60/1.02 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.60/1.02 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.60/1.02 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.60/1.02 , X ), X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.60/1.02 , X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.60/1.02 , X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.02 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.60/1.02 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.60/1.02 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.02 Y, T, X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.60/1.02 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.02 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.02 X ), T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.02 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.60/1.02 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.60/1.02 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.60/1.02 Z, Y, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 0.60/1.02 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 0.60/1.02 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.60/1.02 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.60/1.02 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.60/1.02 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.60/1.02 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.02 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.60/1.02 , Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.60/1.02 ), Y ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.60/1.02 ), Y ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.60/1.02 ), Y ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.60/1.02 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.60/1.02 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.60/1.02 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.60/1.02 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.60/1.02 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.60/1.02 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.60/1.02 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.60/1.02 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.60/1.02 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.60/1.02 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.60/1.02 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.02 Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.02 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.60/1.02 ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.60/1.02 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.60/1.02 , Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.60/1.02 , Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.02 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.60/1.02 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.60/1.02 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 0.60/1.02 X ), Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.60/1.02 'c_lessequals'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.60/1.02 'c_lessequals'( Y, Z, X ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.60/1.02 'c_lessequals'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.60/1.02 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.60/1.02 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.60/1.02 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.60/1.02 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.60/1.02 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.60/1.02 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.60/1.02 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.60/1.02 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.60/1.02 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 0.60/1.02 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 0.60/1.02 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 0.60/1.02 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.02 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.60/1.02 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.60/1.02 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.60/1.02 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.02 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.60/1.02 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.60/1.02 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.60/1.02 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.60/1.02 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.60/1.02 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.02 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.02 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.02 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.60/1.02 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.60/1.02 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.60/1.02 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.60/1.02 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.60/1.02 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.02 , Y, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.60/1.02 , T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.60/1.02 , T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.02 , Y, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.02 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.60/1.02 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 0.60/1.02 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 0.60/1.02 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'(
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.60/1.02 , X ), X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.60/1.02 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.60/1.02 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.60/1.02 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 0.60/1.02 , X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.60/1.02 ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.60/1.02 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.60/1.02 ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.60/1.02 Y, X ), X ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.60/1.02 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.60/1.02 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.60/1.02 'c_lessequals'( Z, Y, X ) ],
% 0.60/1.02 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.60/1.02 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.60/1.02 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.60/1.02 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.60/1.02 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Z, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Z, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.60/1.02 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.60/1.02 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.60/1.02 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.60/1.02 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.02 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.60/1.02 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.02 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.60/1.02 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 0.60/1.02 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 0.60/1.02 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 0.60/1.02 Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.60/1.02 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.02 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.02 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X
% 0.60/1.02 ), T, X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.60/1.02 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.60/1.02 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , =( 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X
% 0.60/1.02 ), T, X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y
% 0.60/1.02 , T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.60/1.02 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.60/1.02 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.60/1.02 ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.60/1.02 ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.60/1.02 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.60/1.02 ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.60/1.02 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.60/1.02 ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.60/1.02 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.02 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.02 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.60/1.02 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.02 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.60/1.02 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.60/1.02 ), Y ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.60/1.02 , T, X ), X ), T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.02 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.02 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.60/1.02 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.60/1.02 , U, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.60/1.02 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.60/1.02 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.60/1.02 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.02 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.60/1.02 ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.60/1.02 ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.60/1.02 ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.02 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.60/1.02 ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.60/1.02 ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.60/1.02 ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.60/1.02 ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.60/1.02 ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.60/1.02 ), Y ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.60/1.02 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.60/1.02 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.60/1.02 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.60/1.02 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.60/1.02 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.60/1.02 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.60/1.02 'tc_Complex_Ocomplex' ),
% 0.60/1.02 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 0.60/1.02 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.60/1.02 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 0.60/1.02 'tc_RealDef_Oreal' ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.60/1.02 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.60/1.02 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.60/1.02 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.60/1.02 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.60/1.02 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.60/1.02 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.60/1.02 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocnj'(
% 0.60/1.02 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.60/1.02 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.60/1.02 'c_Polynomial_Odegree'(
% 0.60/1.02 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 0.60/1.02 ), 'c_Polynomial_Odegree'( Y, X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.60/1.02 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.60/1.02 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.60/1.02 X ) ) ), =( Y, T ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.60/1.02 X ) ) ), =( Z, T ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.60/1.02 X ) ) ), =( Z, T ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.60/1.02 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.60/1.02 X ), X ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.60/1.02 'c_Polynomial_Opoly'(
% 0.60/1.02 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 0.60/1.02 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.60/1.02 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.60/1.02 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.60/1.02 ) ) ],
% 0.60/1.02 [ ~( =( 'c_Polynomial_Opoly'(
% 0.60/1.02 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 0.60/1.02 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ),
% 0.60/1.02 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Oplus__class_Oplus'( 'v_a', 'v_x',
% 0.60/1.02 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.60/1.02 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.60/1.02 ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.60/1.02 ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.60/1.02 ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.60/1.02 ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.60/1.02 ],
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.60/1.02 ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.60/1.02 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.60/1.02 ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.60/1.02 ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.60/1.02 ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.60/1.02 ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.60/1.02 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.60/1.02 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.60/1.02 ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.60/1.02 ],
% 0.60/1.02 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.60/1.02 ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.60/1.02 X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.60/1.02 ,
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.60/1.02 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.60/1.02 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.60/1.02 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.60/1.02 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.60/1.02 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.60/1.02 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Polynomial_Opoly'(
% 0.60/1.02 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.60/1.02 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.60/1.02 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.60/1.02 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.60/1.02 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.60/1.02 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.60/1.02 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.60/1.02 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.60/1.02 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.60/1.02 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.60/1.02 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.60/1.02 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.60/1.02 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.60/1.02 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.60/1.02 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.60/1.02 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.60/1.02 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.60/1.02 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.60/1.02 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.60/1.02 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.60/1.02 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Ofield'( X ) ) ],
% 0.60/1.02 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.60/1.02 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.60/1.02 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.60/1.02 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.60/1.02 X ) ) ]
% 0.60/1.02 ] .
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 percentage equality = 0.172809, percentage horn = 0.889640
% 0.60/1.02 This is a problem with some equality
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02
% 0.60/1.02 Options Used:
% 0.60/1.02
% 0.60/1.02 useres = 1
% 0.60/1.02 useparamod = 1
% 0.60/1.02 useeqrefl = 1
% 0.60/1.02 useeqfact = 1
% 0.60/1.02 usefactor = 1
% 0.60/1.02 usesimpsplitting = 0
% 0.60/1.02 usesimpdemod = 5
% 0.60/1.02 usesimpres = 3
% 0.60/1.02
% 0.60/1.02 resimpinuse = 1000
% 0.60/1.02 resimpclauses = 20000
% 0.60/1.02 substype = eqrewr
% 0.60/1.02 backwardsubs = 1
% 0.60/1.02 selectoldest = 5
% 0.60/1.02
% 0.60/1.02 litorderings [0] = split
% 0.60/1.02 litorderings [1] = extend the termordering, first sorting on arguments
% 0.60/1.02
% 0.60/1.02 termordering = kbo
% 0.60/1.02
% 0.60/1.02 litapriori = 0
% 0.60/1.02 termapriori = 1
% 0.60/1.02 litaposteriori = 0
% 0.60/1.02 termaposteriori = 0
% 0.60/1.02 demodaposteriori = 0
% 0.60/1.02 ordereqreflfact = 0
% 0.60/1.02
% 0.60/1.02 litselect = negord
% 0.60/1.02
% 0.60/1.02 maxweight = 15
% 0.60/1.02 maxdepth = 30000
% 0.60/1.02 maxlength = 115
% 0.60/1.02 maxnrvars = 195
% 0.60/1.02 excuselevel = 1
% 0.60/1.02 increasemaxweight = 1
% 0.60/1.02
% 0.60/1.02 maxselected = 10000000
% 0.60/1.02 maxnrclauses = 10000000
% 0.60/1.02
% 0.60/1.02 showgenerated = 0
% 0.60/1.02 showkept = 0
% 0.60/1.02 showselected = 0
% 0.60/1.02 showdeleted = 0
% 0.60/1.02 showresimp = 1
% 0.60/1.02 showstatus = 2000
% 0.60/1.02
% 0.60/1.02 prologoutput = 1
% 0.60/1.02 nrgoals = 5000000
% 0.60/1.02 totalproof = 1
% 0.60/1.02
% 0.60/1.02 Symbols occurring in the translation:
% 0.60/1.02
% 0.60/1.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.60/1.02 . [1, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.60/1.02 ! [4, 1] (w:0, o:51, a:1, s:1, b:0),
% 0.60/1.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.60/1.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.60/1.02 'class_Lattices_Olattice' [40, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.60/1.02 'c_Lattices_Olower__semilattice__class_Oinf' [43, 3] (w:1, o:158, a:1
% 0.60/1.02 , s:1, b:0),
% 0.60/1.02 'c_lessequals' [44, 3] (w:1, o:159, a:1, s:1, b:0),
% 0.60/1.02 'class_Lattices_Olower__semilattice' [45, 1] (w:1, o:57, a:1, s:1, b:
% 0.60/1.02 0),
% 0.60/1.02 'class_Ring__and__Field_Oordered__idom' [49, 1] (w:1, o:60, a:1, s:1
% 0.60/1.02 , b:0),
% 0.60/1.02 'c_HOL_Oabs__class_Oabs' [50, 2] (w:1, o:152, a:1, s:1, b:0),
% 0.60/1.02 'c_HOL_Oord__class_Oless' [51, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.60/1.02 'c_HOL_Ouminus__class_Ouminus' [52, 2] (w:1, o:153, a:1, s:1, b:0),
% 0.60/1.02 'class_Ring__and__Field_Oordered__ring__strict' [53, 1] (w:1, o:61
% 0.60/1.02 , a:1, s:1, b:0),
% 0.60/1.02 'c_HOL_Ozero__class_Ozero' [54, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.60/1.02 'c_HOL_Otimes__class_Otimes' [55, 3] (w:1, o:161, a:1, s:1, b:0),
% 0.60/1.02 'class_Ring__and__Field_Oordered__semiring__strict' [56, 1] (w:1, o:
% 0.60/1.02 63, a:1, s:1, b:0),
% 0.60/1.02 'class_OrderedGroup_Opordered__ab__group__add__abs' [57, 1] (w:1, o:
% 0.60/1.02 65, a:1, s:1, b:0),
% 0.60/1.02 'class_Lattices_Odistrib__lattice' [58, 1] (w:1, o:66, a:1, s:1, b:0)
% 0.60/1.02 ,
% 0.60/1.02 'c_Lattices_Oupper__semilattice__class_Osup' [59, 3] (w:1, o:162, a:1
% 0.60/1.02 , s:1, b:0),
% 0.60/1.02 'class_Ring__and__Field_Ocomm__semiring__1' [60, 1] (w:1, o:70, a:1
% 0.60/1.02 , s:1, b:0),
% 0.60/1.02 'c_Ring__and__Field_Odvd__class_Odvd' [62, 3] (w:1, o:163, a:1, s:1
% 0.60/1.02 , b:0),
% 0.60/1.02 'class_HOL_Ozero' [63, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.60/1.02 'c_Polynomial_OpCons' [65, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.60/1.02 'class_Ring__and__Field_Oordered__semidom' [67, 1] (w:1, o:72, a:1
% 0.60/1.02 , s:1, b:0),
% 0.60/1.02 'c_HOL_Oplus__class_Oplus' [68, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.60/1.02 'class_Ring__and__Field_Omult__mono1' [69, 1] (w:1, o:74, a:1, s:1
% 0.60/1.02 , b:0),
% 0.60/1.02 'class_Ring__and__Field_Omult__mono' [70, 1] (w:1, o:75, a:1, s:1, b:
% 0.60/1.02 0),
% 0.60/1.02 'class_Ring__and__Field_Opordered__ring' [71, 1] (w:1, o:79, a:1, s:1
% 0.60/1.02 , b:0),
% 0.60/1.02 'class_Orderings_Olinorder' [72, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.60/1.02 'class_OrderedGroup_Olordered__ab__group__add' [73, 1] (w:1, o:81, a:
% 0.60/1.02 1, s:1, b:0),
% 0.60/1.02 'class_Ring__and__Field_Oidom' [74, 1] (w:1, o:82, a:1, s:1, b:0),
% 0.60/1.02 'class_Int_Onumber__ring' [75, 1] (w:1, o:83, a:1, s:1, b:0),
% 0.60/1.02 'class_Ring__and__Field_Oordered__field' [78, 1] (w:1, o:76, a:1, s:1
% 0.60/1.02 , b:0),
% 0.60/1.02 'class_Ring__and__Field_Odivision__by__zero' [79, 1] (w:1, o:85, a:1
% 2.07/2.46 , s:1, b:0),
% 2.07/2.46 'c_HOL_Oinverse__class_Odivide' [80, 3] (w:1, o:168, a:1, s:1, b:0),
% 2.07/2.46
% 2.07/2.46 'class_Lattices_Oupper__semilattice' [81, 1] (w:1, o:86, a:1, s:1, b:
% 2.07/2.46 0),
% 2.07/2.46 'class_OrderedGroup_Oab__semigroup__idem__mult' [82, 1] (w:1, o:87
% 2.07/2.46 , a:1, s:1, b:0),
% 2.07/2.46 'class_OrderedGroup_Opordered__ab__group__add' [83, 1] (w:1, o:88, a:
% 2.07/2.46 1, s:1, b:0),
% 2.07/2.46 'c_HOL_Ominus__class_Ominus' [84, 3] (w:1, o:169, a:1, s:1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Odvd' [87, 1] (w:1, o:89, a:1, s:1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Ocomm__ring' [88, 1] (w:1, o:67, a:1, s:1, b:
% 2.07/2.46 0),
% 2.07/2.46 'c_Orderings_Oord__class_Omin' [92, 3] (w:1, o:164, a:1, s:1, b:0),
% 2.07/2.46 'c_Orderings_Oord__class_Omax' [93, 3] (w:1, o:165, a:1, s:1, b:0),
% 2.07/2.46 'class_Orderings_Oorder' [94, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Opordered__cancel__semiring' [95, 1] (w:1, o:
% 2.07/2.46 91, a:1, s:1, b:0),
% 2.07/2.46 'class_OrderedGroup_Oab__semigroup__mult' [96, 1] (w:1, o:92, a:1, s:
% 2.07/2.46 1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Ofield' [102, 1] (w:1, o:93, a:1, s:1, b:0),
% 2.07/2.46
% 2.07/2.46 'class_OrderedGroup_Oordered__ab__group__add' [103, 1] (w:1, o:64, a:
% 2.07/2.46 1, s:1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Oring' [104, 1] (w:1, o:94, a:1, s:1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Opordered__ring__abs' [105, 1] (w:1, o:95, a:
% 2.07/2.46 1, s:1, b:0),
% 2.07/2.46 'class_RealVector_Oreal__vector' [106, 1] (w:1, o:96, a:1, s:1, b:0)
% 2.07/2.46 ,
% 2.07/2.46 'c_RealVector_OscaleR__class_OscaleR' [107, 3] (w:1, o:170, a:1, s:1
% 2.07/2.46 , b:0),
% 2.07/2.46 'class_RealVector_Oreal__normed__vector' [108, 1] (w:1, o:97, a:1, s:
% 2.07/2.46 1, b:0),
% 2.07/2.46 'tc_RealDef_Oreal' [110, 0] (w:1, o:35, a:1, s:1, b:0),
% 2.07/2.46 'class_Lattices_Oboolean__algebra' [111, 1] (w:1, o:98, a:1, s:1, b:0
% 2.07/2.46 ),
% 2.07/2.46 'class_OrderedGroup_Ogroup__add' [112, 1] (w:1, o:99, a:1, s:1, b:0)
% 2.07/2.46 ,
% 2.07/2.46 'class_OrderedGroup_Olordered__ab__group__add__abs' [113, 1] (w:1, o:
% 2.07/2.46 100, a:1, s:1, b:0),
% 2.07/2.46 'class_OrderedGroup_Opordered__comm__monoid__add' [114, 1] (w:1, o:
% 2.07/2.46 101, a:1, s:1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Oring__no__zero__divisors' [115, 1] (w:1, o:
% 2.07/2.46 102, a:1, s:1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Ono__zero__divisors' [116, 1] (w:1, o:59, a:1
% 2.07/2.46 , s:1, b:0),
% 2.07/2.46 'class_RealVector_Oreal__normed__field' [117, 1] (w:1, o:103, a:1, s:
% 2.07/2.46 1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Ocomm__ring__1' [119, 1] (w:1, o:68, a:1, s:1
% 2.07/2.46 , b:0),
% 2.07/2.46 'class_OrderedGroup_Oab__group__add' [120, 1] (w:1, o:104, a:1, s:1
% 2.07/2.46 , b:0),
% 2.07/2.46 'class_Ring__and__Field_Oabs__if' [121, 1] (w:1, o:105, a:1, s:1, b:0
% 2.07/2.46 ),
% 2.07/2.46 'class_Ring__and__Field_Oordered__semiring' [122, 1] (w:1, o:77, a:1
% 2.07/2.46 , s:1, b:0),
% 2.07/2.46 'class_RealVector_Oreal__normed__algebra' [123, 1] (w:1, o:106, a:1
% 2.07/2.46 , s:1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Opordered__semiring' [125, 1] (w:1, o:107, a:
% 2.07/2.46 1, s:1, b:0),
% 2.07/2.46 'class_Divides_Oring__div' [126, 1] (w:1, o:108, a:1, s:1, b:0),
% 2.07/2.46 'c_Divides_Odiv__class_Omod' [127, 3] (w:1, o:171, a:1, s:1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Ocomm__semiring__0' [128, 1] (w:1, o:69, a:1
% 2.07/2.46 , s:1, b:0),
% 2.07/2.46 'tc_Polynomial_Opoly' [129, 1] (w:1, o:109, a:1, s:1, b:0),
% 2.07/2.46 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [131, 3]
% 2.07/2.46 (w:1, o:172, a:1, s:1, b:0),
% 2.07/2.46 'c_Polynomial_Opoly' [132, 3] (w:1, o:173, a:1, s:1, b:0),
% 2.07/2.46 'class_Divides_Osemiring__div' [133, 1] (w:1, o:110, a:1, s:1, b:0),
% 2.07/2.46
% 2.07/2.46 'class_RealVector_Oreal__algebra' [134, 1] (w:1, o:111, a:1, s:1, b:0
% 2.07/2.46 ),
% 2.07/2.46 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [138, 1]
% 2.07/2.46 (w:1, o:112, a:1, s:1, b:0),
% 2.07/2.46 'class_OrderedGroup_Ocomm__monoid__add' [139, 1] (w:1, o:113, a:1, s:
% 2.07/2.46 1, b:0),
% 2.07/2.46 'class_Ring__and__Field_Olordered__ring' [140, 1] (w:1, o:73, a:1, s:
% 2.07/2.46 1, b:0),
% 2.07/2.46 'c_Complex_Ocnj' [141, 1] (w:1, o:114, a:1, s:1, b:0),
% 2.07/2.46 'tc_Complex_Ocomplex' [142, 0] (w:1, o:41, a:1, s:1, b:0),
% 2.07/2.46 'c_RealVector_Onorm__class_Onorm' [143, 2] (w:1, o:154, a:1, s:1, b:0
% 2.07/2.46 ),
% 2.07/2.46 'c_Polynomial_Opcompose' [144, 3] (w:1, o:174, a:1, s:1, b:0),
% 2.07/2.46 'class_Orderings_Opreorder' [145, 1] (w:1, o:115, a:1, s:1, b:0),
% 13.16/13.58 'class_RealVector_Oreal__field' [146, 1] (w:1, o:116, a:1, s:1, b:0)
% 13.16/13.58 ,
% 13.16/13.58 'class_Ring__and__Field_Oordered__comm__semiring__strict' [149, 1]
% 13.16/13.58 (w:1, o:78, a:1, s:1, b:0),
% 13.16/13.58 'c_Fun_Oid' [150, 2] (w:1, o:155, a:1, s:1, b:0),
% 13.16/13.58 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [151, 1]
% 13.16/13.58 (w:1, o:117, a:1, s:1, b:0),
% 13.16/13.58 'class_Ring__and__Field_Omult__zero' [152, 1] (w:1, o:58, a:1, s:1
% 13.16/13.58 , b:0),
% 13.16/13.58 'class_OrderedGroup_Opordered__ab__semigroup__add' [156, 1] (w:1, o:
% 13.16/13.58 118, a:1, s:1, b:0),
% 13.16/13.58 'class_OrderedGroup_Olordered__ab__group__add__meet' [157, 1] (w:1
% 13.16/13.58 , o:119, a:1, s:1, b:0),
% 13.16/13.58 'class_Ring__and__Field_Ocomm__semiring' [158, 1] (w:1, o:84, a:1, s:
% 13.16/13.58 1, b:0),
% 13.16/13.58 'class_OrderedGroup_Olordered__ab__group__add__join' [159, 1] (w:1
% 13.16/13.58 , o:120, a:1, s:1, b:0),
% 13.16/13.58 'class_Ring__and__Field_Osemiring' [160, 1] (w:1, o:121, a:1, s:1, b:
% 13.16/13.58 0),
% 13.16/13.58 'class_OrderedGroup_Omonoid__add' [161, 1] (w:1, o:122, a:1, s:1, b:0
% 13.16/13.58 ),
% 13.16/13.58 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'
% 13.16/13.58 [162, 2] (w:1, o:156, a:1, s:1, b:0),
% 13.16/13.58 'v_x' [163, 0] (w:1, o:44, a:1, s:1, b:0),
% 13.16/13.58 't_a' [164, 0] (w:1, o:45, a:1, s:1, b:0),
% 13.16/13.58 'c_Polynomial_Odegree' [165, 2] (w:1, o:157, a:1, s:1, b:0),
% 13.16/13.58 'class_OrderedGroup_Ocancel__semigroup__add' [167, 1] (w:1, o:123, a:
% 13.16/13.58 1, s:1, b:0),
% 13.16/13.58 'class_OrderedGroup_Ocancel__ab__semigroup__add' [168, 1] (w:1, o:124
% 13.16/13.58 , a:1, s:1, b:0),
% 13.16/13.58 'class_OrderedGroup_Oab__semigroup__add' [169, 1] (w:1, o:125, a:1
% 13.16/13.58 , s:1, b:0),
% 13.16/13.58 'v_p' [170, 0] (w:1, o:47, a:1, s:1, b:0),
% 13.16/13.58 'v_a' [171, 0] (w:1, o:48, a:1, s:1, b:0),
% 13.16/13.58 'class_OrderedGroup_Ocancel__comm__monoid__add' [173, 1] (w:1, o:126
% 13.16/13.58 , a:1, s:1, b:0),
% 13.16/13.58 'tc_nat' [174, 0] (w:1, o:50, a:1, s:1, b:0).
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Starting Search:
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 4621
% 13.16/13.58 Kept: 2002
% 13.16/13.58 Inuse: 141
% 13.16/13.58 Deleted: 0
% 13.16/13.58 Deletedinuse: 0
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 10379
% 13.16/13.58 Kept: 4010
% 13.16/13.58 Inuse: 270
% 13.16/13.58 Deleted: 2
% 13.16/13.58 Deletedinuse: 0
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 13956
% 13.16/13.58 Kept: 6059
% 13.16/13.58 Inuse: 289
% 13.16/13.58 Deleted: 2
% 13.16/13.58 Deletedinuse: 0
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 19628
% 13.16/13.58 Kept: 8063
% 13.16/13.58 Inuse: 375
% 13.16/13.58 Deleted: 2
% 13.16/13.58 Deletedinuse: 0
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 27350
% 13.16/13.58 Kept: 10562
% 13.16/13.58 Inuse: 421
% 13.16/13.58 Deleted: 8
% 13.16/13.58 Deletedinuse: 3
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 35740
% 13.16/13.58 Kept: 12567
% 13.16/13.58 Inuse: 517
% 13.16/13.58 Deleted: 9
% 13.16/13.58 Deletedinuse: 3
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 45386
% 13.16/13.58 Kept: 14801
% 13.16/13.58 Inuse: 555
% 13.16/13.58 Deleted: 9
% 13.16/13.58 Deletedinuse: 3
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 53730
% 13.16/13.58 Kept: 16850
% 13.16/13.58 Inuse: 565
% 13.16/13.58 Deleted: 9
% 13.16/13.58 Deletedinuse: 3
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 62427
% 13.16/13.58 Kept: 19328
% 13.16/13.58 Inuse: 575
% 13.16/13.58 Deleted: 9
% 13.16/13.58 Deletedinuse: 3
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying clauses:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 68462
% 13.16/13.58 Kept: 21624
% 13.16/13.58 Inuse: 600
% 13.16/13.58 Deleted: 204
% 13.16/13.58 Deletedinuse: 3
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 75025
% 13.16/13.58 Kept: 23874
% 13.16/13.58 Inuse: 625
% 13.16/13.58 Deleted: 204
% 13.16/13.58 Deletedinuse: 3
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 85467
% 13.16/13.58 Kept: 25929
% 13.16/13.58 Inuse: 680
% 13.16/13.58 Deleted: 204
% 13.16/13.58 Deletedinuse: 3
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 101339
% 13.16/13.58 Kept: 28725
% 13.16/13.58 Inuse: 725
% 13.16/13.58 Deleted: 204
% 13.16/13.58 Deletedinuse: 3
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58 Resimplifying inuse:
% 13.16/13.58 Done
% 13.16/13.58
% 13.16/13.58
% 13.16/13.58 Intermediate Status:
% 13.16/13.58 Generated: 115425
% 13.16/13.58 Kept: 30802
% 54.84/55.23 Inuse: 745
% 54.84/55.23 Deleted: 204
% 54.84/55.23 Deletedinuse: 3
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 137853
% 54.84/55.23 Kept: 33774
% 54.84/55.23 Inuse: 795
% 54.84/55.23 Deleted: 204
% 54.84/55.23 Deletedinuse: 3
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 146638
% 54.84/55.23 Kept: 35892
% 54.84/55.23 Inuse: 840
% 54.84/55.23 Deleted: 204
% 54.84/55.23 Deletedinuse: 3
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 167810
% 54.84/55.23 Kept: 38069
% 54.84/55.23 Inuse: 895
% 54.84/55.23 Deleted: 204
% 54.84/55.23 Deletedinuse: 3
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 183822
% 54.84/55.23 Kept: 40089
% 54.84/55.23 Inuse: 945
% 54.84/55.23 Deleted: 204
% 54.84/55.23 Deletedinuse: 3
% 54.84/55.23
% 54.84/55.23 Resimplifying clauses:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 199702
% 54.84/55.23 Kept: 42101
% 54.84/55.23 Inuse: 979
% 54.84/55.23 Deleted: 312
% 54.84/55.23 Deletedinuse: 5
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 210015
% 54.84/55.23 Kept: 44281
% 54.84/55.23 Inuse: 1048
% 54.84/55.23 Deleted: 314
% 54.84/55.23 Deletedinuse: 5
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 225984
% 54.84/55.23 Kept: 48624
% 54.84/55.23 Inuse: 1071
% 54.84/55.23 Deleted: 335
% 54.84/55.23 Deletedinuse: 8
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 238444
% 54.84/55.23 Kept: 53086
% 54.84/55.23 Inuse: 1110
% 54.84/55.23 Deleted: 335
% 54.84/55.23 Deletedinuse: 8
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 247106
% 54.84/55.23 Kept: 55203
% 54.84/55.23 Inuse: 1150
% 54.84/55.23 Deleted: 337
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 257528
% 54.84/55.23 Kept: 57213
% 54.84/55.23 Inuse: 1198
% 54.84/55.23 Deleted: 337
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 266714
% 54.84/55.23 Kept: 59442
% 54.84/55.23 Inuse: 1240
% 54.84/55.23 Deleted: 337
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying clauses:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 275880
% 54.84/55.23 Kept: 61442
% 54.84/55.23 Inuse: 1275
% 54.84/55.23 Deleted: 619
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 285527
% 54.84/55.23 Kept: 63459
% 54.84/55.23 Inuse: 1320
% 54.84/55.23 Deleted: 619
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 295060
% 54.84/55.23 Kept: 65461
% 54.84/55.23 Inuse: 1354
% 54.84/55.23 Deleted: 619
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 304272
% 54.84/55.23 Kept: 67489
% 54.84/55.23 Inuse: 1395
% 54.84/55.23 Deleted: 619
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 315684
% 54.84/55.23 Kept: 69557
% 54.84/55.23 Inuse: 1415
% 54.84/55.23 Deleted: 619
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 327331
% 54.84/55.23 Kept: 71558
% 54.84/55.23 Inuse: 1469
% 54.84/55.23 Deleted: 619
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 336442
% 54.84/55.23 Kept: 73729
% 54.84/55.23 Inuse: 1505
% 54.84/55.23 Deleted: 619
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 352311
% 54.84/55.23 Kept: 79169
% 54.84/55.23 Inuse: 1530
% 54.84/55.23 Deleted: 619
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying clauses:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 360046
% 54.84/55.23 Kept: 81288
% 54.84/55.23 Inuse: 1560
% 54.84/55.23 Deleted: 829
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 369202
% 54.84/55.23 Kept: 83326
% 54.84/55.23 Inuse: 1601
% 54.84/55.23 Deleted: 829
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 381474
% 54.84/55.23 Kept: 85844
% 54.84/55.23 Inuse: 1602
% 54.84/55.23 Deleted: 829
% 54.84/55.23 Deletedinuse: 10
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 393053
% 54.84/55.23 Kept: 88530
% 54.84/55.23 Inuse: 1635
% 54.84/55.23 Deleted: 831
% 54.84/55.23 Deletedinuse: 12
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23 Resimplifying inuse:
% 54.84/55.23 Done
% 54.84/55.23
% 54.84/55.23
% 54.84/55.23 Intermediate Status:
% 54.84/55.23 Generated: 408001
% 54.84/55.23 Kept: 91405
% 54.84/55.23 Inuse: 1679
% 150.77/151.25 Deleted: 832
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 415623
% 150.77/151.25 Kept: 93476
% 150.77/151.25 Inuse: 1709
% 150.77/151.25 Deleted: 832
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 423376
% 150.77/151.25 Kept: 95623
% 150.77/151.25 Inuse: 1744
% 150.77/151.25 Deleted: 832
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 435927
% 150.77/151.25 Kept: 97983
% 150.77/151.25 Inuse: 1774
% 150.77/151.25 Deleted: 832
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 442851
% 150.77/151.25 Kept: 100276
% 150.77/151.25 Inuse: 1779
% 150.77/151.25 Deleted: 832
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying clauses:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 451652
% 150.77/151.25 Kept: 102276
% 150.77/151.25 Inuse: 1824
% 150.77/151.25 Deleted: 1110
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 465286
% 150.77/151.25 Kept: 105447
% 150.77/151.25 Inuse: 1834
% 150.77/151.25 Deleted: 1110
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 476290
% 150.77/151.25 Kept: 107842
% 150.77/151.25 Inuse: 1874
% 150.77/151.25 Deleted: 1110
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 486627
% 150.77/151.25 Kept: 110266
% 150.77/151.25 Inuse: 1899
% 150.77/151.25 Deleted: 1110
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 496340
% 150.77/151.25 Kept: 112380
% 150.77/151.25 Inuse: 1929
% 150.77/151.25 Deleted: 1110
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 503602
% 150.77/151.25 Kept: 114383
% 150.77/151.25 Inuse: 1950
% 150.77/151.25 Deleted: 1110
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 511594
% 150.77/151.25 Kept: 116396
% 150.77/151.25 Inuse: 1976
% 150.77/151.25 Deleted: 1110
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 525566
% 150.77/151.25 Kept: 119846
% 150.77/151.25 Inuse: 1984
% 150.77/151.25 Deleted: 1110
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying clauses:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 556045
% 150.77/151.25 Kept: 123868
% 150.77/151.25 Inuse: 2009
% 150.77/151.25 Deleted: 1286
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 569758
% 150.77/151.25 Kept: 125884
% 150.77/151.25 Inuse: 2029
% 150.77/151.25 Deleted: 1286
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 596709
% 150.77/151.25 Kept: 133335
% 150.77/151.25 Inuse: 2079
% 150.77/151.25 Deleted: 1286
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 610709
% 150.77/151.25 Kept: 136642
% 150.77/151.25 Inuse: 2084
% 150.77/151.25 Deleted: 1286
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 629022
% 150.77/151.25 Kept: 139635
% 150.77/151.25 Inuse: 2094
% 150.77/151.25 Deleted: 1286
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying clauses:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 642619
% 150.77/151.25 Kept: 141722
% 150.77/151.25 Inuse: 2139
% 150.77/151.25 Deleted: 1498
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 657063
% 150.77/151.25 Kept: 144119
% 150.77/151.25 Inuse: 2159
% 150.77/151.25 Deleted: 1498
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 671954
% 150.77/151.25 Kept: 146123
% 150.77/151.25 Inuse: 2181
% 150.77/151.25 Deleted: 1498
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 684489
% 150.77/151.25 Kept: 148130
% 150.77/151.25 Inuse: 2211
% 150.77/151.25 Deleted: 1498
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 708654
% 150.77/151.25 Kept: 150480
% 150.77/151.25 Inuse: 2234
% 150.77/151.25 Deleted: 1498
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 717332
% 150.77/151.25 Kept: 152806
% 150.77/151.25 Inuse: 2254
% 150.77/151.25 Deleted: 1498
% 150.77/151.25 Deletedinuse: 12
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25 Resimplifying inuse:
% 150.77/151.25 Done
% 150.77/151.25
% 150.77/151.25
% 150.77/151.25 Intermediate Status:
% 150.77/151.25 Generated: 726175
% 150.77/151.25 Kept: 154861
% 150.77/151.25 Inuse: 2284
% 150.77/151.25 Deleted: 1498
% 150.77/151.25 Deletedinuse: 12
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 746211
% 280.61/281.14 Kept: 158355
% 280.61/281.14 Inuse: 2299
% 280.61/281.14 Deleted: 1498
% 280.61/281.14 Deletedinuse: 12
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 755227
% 280.61/281.14 Kept: 160366
% 280.61/281.14 Inuse: 2321
% 280.61/281.14 Deleted: 1498
% 280.61/281.14 Deletedinuse: 12
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying clauses:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 764066
% 280.61/281.14 Kept: 162372
% 280.61/281.14 Inuse: 2337
% 280.61/281.14 Deleted: 1970
% 280.61/281.14 Deletedinuse: 12
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 773779
% 280.61/281.14 Kept: 164820
% 280.61/281.14 Inuse: 2364
% 280.61/281.14 Deleted: 1970
% 280.61/281.14 Deletedinuse: 12
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 781171
% 280.61/281.14 Kept: 167098
% 280.61/281.14 Inuse: 2389
% 280.61/281.14 Deleted: 1971
% 280.61/281.14 Deletedinuse: 13
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 795104
% 280.61/281.14 Kept: 172856
% 280.61/281.14 Inuse: 2405
% 280.61/281.14 Deleted: 1971
% 280.61/281.14 Deletedinuse: 13
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 808682
% 280.61/281.14 Kept: 174980
% 280.61/281.14 Inuse: 2439
% 280.61/281.14 Deleted: 1971
% 280.61/281.14 Deletedinuse: 13
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 821410
% 280.61/281.14 Kept: 177060
% 280.61/281.14 Inuse: 2464
% 280.61/281.14 Deleted: 1972
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 835450
% 280.61/281.14 Kept: 179438
% 280.61/281.14 Inuse: 2494
% 280.61/281.14 Deleted: 1972
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 846260
% 280.61/281.14 Kept: 181446
% 280.61/281.14 Inuse: 2512
% 280.61/281.14 Deleted: 1972
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying clauses:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 856861
% 280.61/281.14 Kept: 183455
% 280.61/281.14 Inuse: 2529
% 280.61/281.14 Deleted: 2371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 868451
% 280.61/281.14 Kept: 185715
% 280.61/281.14 Inuse: 2544
% 280.61/281.14 Deleted: 2371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 881139
% 280.61/281.14 Kept: 187772
% 280.61/281.14 Inuse: 2574
% 280.61/281.14 Deleted: 2371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 894391
% 280.61/281.14 Kept: 193390
% 280.61/281.14 Inuse: 2583
% 280.61/281.14 Deleted: 2371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 901793
% 280.61/281.14 Kept: 195443
% 280.61/281.14 Inuse: 2594
% 280.61/281.14 Deleted: 2371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 916557
% 280.61/281.14 Kept: 200039
% 280.61/281.14 Inuse: 2604
% 280.61/281.14 Deleted: 2371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying clauses:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 930515
% 280.61/281.14 Kept: 202504
% 280.61/281.14 Inuse: 2629
% 280.61/281.14 Deleted: 2907
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 942096
% 280.61/281.14 Kept: 204902
% 280.61/281.14 Inuse: 2649
% 280.61/281.14 Deleted: 2907
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 988896
% 280.61/281.14 Kept: 209419
% 280.61/281.14 Inuse: 2674
% 280.61/281.14 Deleted: 2907
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1001469
% 280.61/281.14 Kept: 211884
% 280.61/281.14 Inuse: 2694
% 280.61/281.14 Deleted: 2907
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1013853
% 280.61/281.14 Kept: 214213
% 280.61/281.14 Inuse: 2719
% 280.61/281.14 Deleted: 2907
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1051609
% 280.61/281.14 Kept: 216281
% 280.61/281.14 Inuse: 2724
% 280.61/281.14 Deleted: 2907
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1089351
% 280.61/281.14 Kept: 218293
% 280.61/281.14 Inuse: 2733
% 280.61/281.14 Deleted: 2907
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1100591
% 280.61/281.14 Kept: 220299
% 280.61/281.14 Inuse: 2759
% 280.61/281.14 Deleted: 2907
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1120915
% 280.61/281.14 Kept: 224643
% 280.61/281.14 Inuse: 2775
% 280.61/281.14 Deleted: 2907
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying clauses:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1140770
% 280.61/281.14 Kept: 226966
% 280.61/281.14 Inuse: 2809
% 280.61/281.14 Deleted: 3371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1151990
% 280.61/281.14 Kept: 229143
% 280.61/281.14 Inuse: 2829
% 280.61/281.14 Deleted: 3371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1220126
% 280.61/281.14 Kept: 234929
% 280.61/281.14 Inuse: 2854
% 280.61/281.14 Deleted: 3371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1237396
% 280.61/281.14 Kept: 237015
% 280.61/281.14 Inuse: 2879
% 280.61/281.14 Deleted: 3371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1256958
% 280.61/281.14 Kept: 239022
% 280.61/281.14 Inuse: 2912
% 280.61/281.14 Deleted: 3371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1275027
% 280.61/281.14 Kept: 241036
% 280.61/281.14 Inuse: 2943
% 280.61/281.14 Deleted: 3371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1288464
% 280.61/281.14 Kept: 243062
% 280.61/281.14 Inuse: 2967
% 280.61/281.14 Deleted: 3371
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying clauses:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1310089
% 280.61/281.14 Kept: 247720
% 280.61/281.14 Inuse: 2984
% 280.61/281.14 Deleted: 3819
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1324250
% 280.61/281.14 Kept: 250686
% 280.61/281.14 Inuse: 2989
% 280.61/281.14 Deleted: 3819
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1343431
% 280.61/281.14 Kept: 252701
% 280.61/281.14 Inuse: 3026
% 280.61/281.14 Deleted: 3819
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1365403
% 280.61/281.14 Kept: 255762
% 280.61/281.14 Inuse: 3049
% 280.61/281.14 Deleted: 3819
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1386550
% 280.61/281.14 Kept: 258021
% 280.61/281.14 Inuse: 3094
% 280.61/281.14 Deleted: 3819
% 280.61/281.14 Deletedinuse: 14
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1411922
% 280.61/281.14 Kept: 261963
% 280.61/281.14 Inuse: 3124
% 280.61/281.14 Deleted: 3820
% 280.61/281.14 Deletedinuse: 15
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1433713
% 280.61/281.14 Kept: 265546
% 280.61/281.14 Inuse: 3154
% 280.61/281.14 Deleted: 3820
% 280.61/281.14 Deletedinuse: 15
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying clauses:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1458012
% 280.61/281.14 Kept: 268370
% 280.61/281.14 Inuse: 3159
% 280.61/281.14 Deleted: 4572
% 280.61/281.14 Deletedinuse: 15
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1481800
% 280.61/281.14 Kept: 270734
% 280.61/281.14 Inuse: 3164
% 280.61/281.14 Deleted: 4572
% 280.61/281.14 Deletedinuse: 15
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1505618
% 280.61/281.14 Kept: 273091
% 280.61/281.14 Inuse: 3169
% 280.61/281.14 Deleted: 4572
% 280.61/281.14 Deletedinuse: 15
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Intermediate Status:
% 280.61/281.14 Generated: 1533957
% 280.61/281.14 Kept: 275222
% 280.61/281.14 Inuse: 3184
% 280.61/281.14 Deleted: 4572
% 280.61/281.14 Deletedinuse: 15
% 280.61/281.14
% 280.61/281.14 Resimplifying inuse:
% 280.61/281.14 Done
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 Bliksems!, er is een bewijs:
% 280.61/281.14 % SZS status Unsatisfiable
% 280.61/281.14 % SZS output start Refutation
% 280.61/281.14
% 280.61/281.14 clause( 676, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 280.61/281.14 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ),
% 280.61/281.14 'c_Polynomial_Opoly'(
% 280.61/281.14 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 280.61/281.14 , X ) ) ] )
% 280.61/281.14 .
% 280.61/281.14 clause( 684, [ ~( =( 'c_Polynomial_Opoly'( 'v_p',
% 280.61/281.14 'c_HOL_Oplus__class_Oplus'( 'v_a', 'v_x', 'tc_Complex_Ocomplex' ),
% 280.61/281.14 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 280.61/281.14 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.14 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ) ) ) ] )
% 280.61/281.14 .
% 280.61/281.14 clause( 792, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 280.61/281.14 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.14 .
% 280.61/281.14 clause( 274751, [ =( 'c_Polynomial_Opoly'( X, 'c_HOL_Oplus__class_Oplus'( Y
% 280.61/281.14 , Z, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 280.61/281.14 'c_Polynomial_Opoly'(
% 280.61/281.14 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y,
% 280.61/281.14 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ) ) ] )
% 280.61/281.14 .
% 280.61/281.14 clause( 276632, [] )
% 280.61/281.14 .
% 280.61/281.14
% 280.61/281.14
% 280.61/281.14 % SZS output end Refutation
% 280.61/281.14 found a proof!
% 280.61/281.14
% 280.61/281.14 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 280.61/281.14
% 280.61/281.14 initialclauses(
% 280.61/281.14 [ clause( 276634, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 280.61/281.14 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 280.61/281.14 , clause( 276635, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.14 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 280.61/281.14 Y, X ) ] )
% 280.61/281.14 , clause( 276636, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.14 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 280.61/281.14 Z, X ) ] )
% 280.61/281.14 , clause( 276637, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.14 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 280.61/281.14 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 280.61/281.14 )
% 280.61/281.14 , clause( 276638, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 280.61/281.15 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276639, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 280.61/281.15 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276640, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276641, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276642, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276643, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276644, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276645, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276646, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276647, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276648, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 280.61/281.15 ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276649, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276650, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276651, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 280.61/281.15 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276652, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 280.61/281.15 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276653, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 280.61/281.15 , X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276654, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 280.61/281.15 , X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276655, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 280.61/281.15 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ),
% 280.61/281.15 =( Z, U ) ] )
% 280.61/281.15 , clause( 276656, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 280.61/281.15 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ),
% 280.61/281.15 =( Y, T ) ] )
% 280.61/281.15 , clause( 276657, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276658, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 276659, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 276660, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 276661, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276662, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276663, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 280.61/281.15 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 280.61/281.15 , clause( 276664, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.15 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276665, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 280.61/281.15 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 276666, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 280.61/281.15 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 276667, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 280.61/281.15 X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276668, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 280.61/281.15 Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276669, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 280.61/281.15 Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276670, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 280.61/281.15 X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276671, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 280.61/281.15 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276672, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 280.61/281.15 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ), T, X ) ) ] )
% 280.61/281.15 , clause( 276673, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276674, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276675, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 280.61/281.15 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276676, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 280.61/281.15 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276677, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276678, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276679, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276680, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276681, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276682, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276683, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276684, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276685, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 280.61/281.15 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 280.61/281.15 , clause( 276686, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276687, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 280.61/281.15 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 280.61/281.15 , clause( 276688, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 280.61/281.15 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276689, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 280.61/281.15 ~( 'c_lessequals'( U, T, X ) ) ] )
% 280.61/281.15 , clause( 276690, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 280.61/281.15 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 276691, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 280.61/281.15 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ] )
% 280.61/281.15 , clause( 276692, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 280.61/281.15 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ] )
% 280.61/281.15 , clause( 276693, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 280.61/281.15 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 280.61/281.15 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276694, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 280.61/281.15 Y, T, X ), 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276695, [ ~( 'class_Orderings_Oorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 276696, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276697, [ ~( 'class_Orderings_Oorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 276698, [ ~( 'class_Orderings_Oorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 280.61/281.15 Y, Z ) ] )
% 280.61/281.15 , clause( 276699, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 280.61/281.15 , clause( 276700, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276701, [ ~( 'class_Orderings_Oorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 280.61/281.15 Z, Y ) ] )
% 280.61/281.15 , clause( 276702, [ ~( 'class_Orderings_Oorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 276703, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 276704, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276705, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276706, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276707, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276708, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 280.61/281.15 , clause( 276709, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276710, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276711, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276712, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276713, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276714, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276715, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276716, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 280.61/281.15 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 280.61/281.15 , X ), T, X ) ) ] )
% 280.61/281.15 , clause( 276717, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 280.61/281.15 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.15 , T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276718, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 280.61/281.15 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 280.61/281.15 , X ), T, X ) ) ] )
% 280.61/281.15 , clause( 276719, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 280.61/281.15 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 280.61/281.15 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276720, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276721, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276722, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276723, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276724, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 280.61/281.15 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 276725, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 280.61/281.15 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276726, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 280.61/281.15 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 Y, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276727, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276728, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276729, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276730, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276731, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 280.61/281.15 X ), X ), 'c_Orderings_Oord__class_Omax'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276732, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 280.61/281.15 , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276733, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 280.61/281.15 , clause( 276734, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276735, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 280.61/281.15 , clause( 276736, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276737, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276738, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 280.61/281.15 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276739, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276740, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276741, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 280.61/281.15 X ), X ) ) ] )
% 280.61/281.15 , clause( 276742, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 280.61/281.15 , Z, X ) ) ] )
% 280.61/281.15 , clause( 276743, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 280.61/281.15 , clause( 276744, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 280.61/281.15 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 280.61/281.15 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276745, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 280.61/281.15 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 280.61/281.15 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276746, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 280.61/281.15 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 280.61/281.15 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276747, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 280.61/281.15 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 280.61/281.15 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276748, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276749, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ] )
% 280.61/281.15 , clause( 276750, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ] )
% 280.61/281.15 , clause( 276751, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276752, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ] )
% 280.61/281.15 , clause( 276753, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 280.61/281.15 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276754, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 280.61/281.15 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276755, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 280.61/281.15 , clause( 276756, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276757, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 280.61/281.15 , clause( 276758, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276759, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, Y, X ), Y ) ] )
% 280.61/281.15 , clause( 276760, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 280.61/281.15 ), =( Z, Y ) ] )
% 280.61/281.15 , clause( 276761, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276762, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276763, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 280.61/281.15 , clause( 276764, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 276765, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 280.61/281.15 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276766, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 280.61/281.15 ), =( Z, Y ) ] )
% 280.61/281.15 , clause( 276767, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 280.61/281.15 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276768, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal'
% 280.61/281.15 ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 280.61/281.15 , clause( 276769, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 280.61/281.15 , X ) ) ), =( Y, Z ) ] )
% 280.61/281.15 , clause( 276770, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 280.61/281.15 , X ) ) ), =( Y, Z ) ] )
% 280.61/281.15 , clause( 276771, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276772, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 280.61/281.15 , clause( 276773, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276774, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276775, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276776, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Y, X ), Y ) ] )
% 280.61/281.15 , clause( 276777, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 280.61/281.15 , clause( 276778, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 276779, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276780, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 280.61/281.15 , clause( 276781, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 280.61/281.15 , clause( 276782, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 280.61/281.15 , clause( 276783, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 280.61/281.15 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276784, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276785, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 280.61/281.15 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 280.61/281.15 , clause( 276786, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276787, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276788, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 276789, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 280.61/281.15 , X ), X ) ) ] )
% 280.61/281.15 , clause( 276790, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 280.61/281.15 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 280.61/281.15 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 276791, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276792, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276793, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 280.61/281.15 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276794, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276795, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276796, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276797, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276798, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276799, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276800, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276801, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276802, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276803, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276804, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276805, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276806, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276807, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 280.61/281.15 X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276808, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 280.61/281.15 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276809, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 280.61/281.15 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276810, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 280.61/281.15 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276811, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 280.61/281.15 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276812, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276813, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276814, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 280.61/281.15 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276815, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276816, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276817, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276818, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276819, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.15 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 280.61/281.15 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276820, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276821, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276822, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 280.61/281.15 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276823, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 280.61/281.15 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276824, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 280.61/281.15 , T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276825, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276826, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 280.61/281.15 , T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276827, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276828, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 280.61/281.15 , clause( 276829, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276830, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276831, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276832, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276833, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276834, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 280.61/281.15 , clause( 276835, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276836, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276837, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 280.61/281.15 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.15 , Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276838, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 280.61/281.15 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.15 , Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276839, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Y, Y, X ) ) ] )
% 280.61/281.15 , clause( 276840, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276841, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 280.61/281.15 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 280.61/281.15 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276842, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 280.61/281.15 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 280.61/281.15 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276843, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 276844, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 280.61/281.15 , clause( 276845, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 280.61/281.15 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276846, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 280.61/281.15 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276847, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 276848, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 280.61/281.15 , clause( 276849, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276850, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276851, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276852, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 280.61/281.15 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276853, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276854, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 280.61/281.15 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276855, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 280.61/281.15 X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276856, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 280.61/281.15 X ), X ), Y ) ] )
% 280.61/281.15 , clause( 276857, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 280.61/281.15 , X ), X ) ) ] )
% 280.61/281.15 , clause( 276858, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 280.61/281.15 , X ), X ) ) ] )
% 280.61/281.15 , clause( 276859, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276860, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276861, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276862, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276863, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 280.61/281.15 , 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ),
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 280.61/281.15 X ), X ), X ) ] )
% 280.61/281.15 , clause( 276864, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, Z, X ), 'c_Orderings_Oord__class_Omax'(
% 280.61/281.15 Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 276865, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 280.61/281.15 , clause( 276866, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.15 =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 280.61/281.15 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 280.61/281.15 , clause( 276867, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 280.61/281.15 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276868, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 280.61/281.15 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276869, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 280.61/281.15 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 280.61/281.15 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276870, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.15 =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276871, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276872, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276873, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276874, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276875, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276876, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276877, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276878, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 280.61/281.15 , X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276879, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 280.61/281.15 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276880, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276881, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276882, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 280.61/281.15 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276883, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 280.61/281.15 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 280.61/281.15 , clause( 276884, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276885, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276886, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276887, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 280.61/281.15 , clause( 276888, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 280.61/281.15 , T, X ), X ), T, X ) ) ] )
% 280.61/281.15 , clause( 276889, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276890, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276891, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276892, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276893, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276894, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 280.61/281.15 ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 280.61/281.15 , clause( 276895, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276896, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276897, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276898, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276899, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276900, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276901, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276902, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276903, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276904, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276905, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276906, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 276907, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ] )
% 280.61/281.15 , clause( 276908, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 280.61/281.15 , clause( 276909, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 276910, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 280.61/281.15 , clause( 276911, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 280.61/281.15 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 280.61/281.15 , clause( 276912, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y
% 280.61/281.15 , 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 280.61/281.15 , clause( 276913, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 280.61/281.15 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276914, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 280.61/281.15 ), X ) ] )
% 280.61/281.15 , clause( 276915, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 280.61/281.15 ), X ) ] )
% 280.61/281.15 , clause( 276916, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 280.61/281.15 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276917, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 280.61/281.15 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276918, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 280.61/281.15 , clause( 276919, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276920, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 280.61/281.15 , clause( 276921, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276922, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omin'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_Orderings_Oord__class_Omin'( Y,
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276923, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 280.61/281.15 X ), X ), 'c_Orderings_Oord__class_Omin'( Z,
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276924, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 276925, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276926, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 280.61/281.15 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276927, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 280.61/281.15 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276928, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'(
% 280.61/281.15 Z, T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276929, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'(
% 280.61/281.15 Z, T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276930, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 280.61/281.15 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276931, [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 280.61/281.15 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276932, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omax'( Y, Z
% 280.61/281.15 , X ), T, X ), 'c_Orderings_Oord__class_Omax'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 280.61/281.15 , T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276933, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ), ~( 'c_lessequals'( Y, Z,
% 280.61/281.15 X ) ) ] )
% 280.61/281.15 , clause( 276934, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y ) ), 'c_lessequals'( Y, Z, X
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276935, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 280.61/281.15 , T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276936, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 280.61/281.15 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276937, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 280.61/281.15 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276938, [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 280.61/281.15 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276939, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 280.61/281.15 , clause( 276940, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 280.61/281.15 , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 276941, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 280.61/281.15 , clause( 276942, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 280.61/281.15 , clause( 276943, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 280.61/281.15 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276944, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 280.61/281.15 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276945, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276946, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 280.61/281.15 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 280.61/281.15 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 280.61/281.15 , clause( 276947, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 280.61/281.15 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 280.61/281.15 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276948, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276949, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 276950, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 280.61/281.15 Y, T, X ), 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276951, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 280.61/281.15 X ), X ), 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omin'(
% 280.61/281.15 Y, Z, X ), 'c_Orderings_Oord__class_Omin'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276952, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276953, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276954, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276955, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276956, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, 'c_Orderings_Oord__class_Omax'( Y, Z, X ), X ) ] )
% 280.61/281.15 , clause( 276957, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, 'c_Orderings_Oord__class_Omax'( Z, Y, X ), X ) ] )
% 280.61/281.15 , clause( 276958, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 276959, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 280.61/281.15 , X ), X ) ) ] )
% 280.61/281.15 , clause( 276960, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 276961, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.15 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 280.61/281.15 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 280.61/281.15 , clause( 276962, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 276963, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276964, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 276965, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276966, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 276967, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276968, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276969, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276970, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z, X ) ] )
% 280.61/281.15 , clause( 276971, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Y, X ) ] )
% 280.61/281.15 , clause( 276972, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T,
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276973, [ =( 'c_RealVector_Onorm__class_Onorm'( 'c_Complex_Ocnj'(
% 280.61/281.15 X ), 'tc_Complex_Ocomplex' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 280.61/281.15 'tc_Complex_Ocomplex' ) ) ] )
% 280.61/281.15 , clause( 276974, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 280.61/281.15 , Y, X ), X ) ] )
% 280.61/281.15 , clause( 276975, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.15 , Z, X ), X ) ] )
% 280.61/281.15 , clause( 276976, [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.15 , Z, X ), X ) ] )
% 280.61/281.15 , clause( 276977, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 276978, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 280.61/281.15 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276979, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 276980, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 276981, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276982, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X ),
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276983, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 280.61/281.15 , clause( 276984, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omin'( Y, Z,
% 280.61/281.15 X ), X ), 'c_Orderings_Oord__class_Omin'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 276985, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 280.61/281.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 276986, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.15 =( 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 280.61/281.15 , clause( 276987, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276988, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 276989, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 280.61/281.15 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276990, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 276991, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 276992, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 280.61/281.15 , clause( 276993, [ ~( 'class_Orderings_Oorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 280.61/281.15 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 280.61/281.15 , clause( 276994, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 280.61/281.15 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 276995, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 276996, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 280.61/281.15 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 280.61/281.15 , clause( 276997, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 280.61/281.15 X ) ] )
% 280.61/281.15 , clause( 276998, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 276999, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 280.61/281.15 , clause( 277000, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 280.61/281.15 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 277001, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 280.61/281.15 , clause( 277002, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 277003, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 280.61/281.15 , clause( 277004, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 280.61/281.15 , clause( 277005, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 277006, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277007, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277008, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277009, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277010, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 280.61/281.15 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277011, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 280.61/281.15 , T, X ) ) ), =( Z, T ) ] )
% 280.61/281.15 , clause( 277012, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 280.61/281.15 , T, X ) ) ), =( Y, Z ) ] )
% 280.61/281.15 , clause( 277013, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, 'c_Orderings_Oord__class_Omax'( Y, Z,
% 280.61/281.15 X ), X ), Y ) ] )
% 280.61/281.15 , clause( 277014, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277015, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 280.61/281.15 , T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277016, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277017, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 280.61/281.15 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 277018, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ), T, X ) ) ] )
% 280.61/281.15 , clause( 277019, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 280.61/281.15 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 277020, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277021, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277022, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277023, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277024, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277025, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277026, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 280.61/281.15 Y, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277027, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), U
% 280.61/281.15 , X ), X ), 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Ominus__class_Ominus'(
% 280.61/281.15 Z, U, X ), X ), X ) ) ] )
% 280.61/281.15 , clause( 277028, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 280.61/281.15 'c_lessequals'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 277029, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ] )
% 280.61/281.15 , clause( 277030, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277031, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( T, Y, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277032, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277033, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277034, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277035, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), Z ), ~( 'c_lessequals'( Z, Y,
% 280.61/281.15 X ) ) ] )
% 280.61/281.15 , clause( 277036, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 280.61/281.15 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ) ) ] )
% 280.61/281.15 , clause( 277037, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 280.61/281.15 , clause( 277038, [ ~( 'class_Divides_Oring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 280.61/281.15 , clause( 277039, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ), ~( 'c_lessequals'( Y, Z,
% 280.61/281.15 X ) ) ] )
% 280.61/281.15 , clause( 277040, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Z ) ), 'c_lessequals'( Y, Z, X
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 277041, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, Z, X ), Y ), ~( 'c_lessequals'( Z, Y,
% 280.61/281.15 X ) ) ] )
% 280.61/281.15 , clause( 277042, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277043, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 280.61/281.15 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277044, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 280.61/281.15 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277045, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277046, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277047, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277048, [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 280.61/281.15 , clause( 277049, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277050, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 280.61/281.15 , clause( 277051, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 280.61/281.15 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 280.61/281.15 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 277052, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Oord__class_Omin'( Y, Z
% 280.61/281.15 , X ), T, X ), 'c_Orderings_Oord__class_Omin'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 280.61/281.15 , T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277053, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277054, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277055, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277056, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277057, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 280.61/281.15 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277058, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 280.61/281.15 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 280.61/281.15 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277059, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 280.61/281.15 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277060, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 280.61/281.15 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277061, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 280.61/281.15 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277062, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 280.61/281.15 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ] )
% 280.61/281.15 , clause( 277063, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 280.61/281.15 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277064, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 280.61/281.15 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 280.61/281.15 , clause( 277065, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 280.61/281.15 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 280.61/281.15 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 280.61/281.15 , clause( 277066, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 280.61/281.15 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 280.61/281.15 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 280.61/281.15 , X ), W, X ) ) ] )
% 280.61/281.15 , clause( 277067, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ) ) ] )
% 280.61/281.15 , clause( 277068, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 280.61/281.15 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 280.61/281.15 , clause( 277069, [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ] )
% 280.61/281.15 , clause( 277070, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277071, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277072, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277073, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 277074, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 277075, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277076, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277077, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277078, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277079, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 280.61/281.15 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 280.61/281.15 , clause( 277080, [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 280.61/281.15 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 277081, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 280.61/281.15 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 280.61/281.15 X ) ) ] )
% 280.61/281.15 , clause( 277082, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 280.61/281.15 , T, X ), X ), T, X ) ) ] )
% 280.61/281.15 , clause( 277083, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277084, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277085, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277086, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 T, X ) ) ] )
% 280.61/281.15 , clause( 277087, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 T, X ) ) ] )
% 280.61/281.15 , clause( 277088, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 T, X ) ) ] )
% 280.61/281.15 , clause( 277089, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 T, X ) ) ] )
% 280.61/281.15 , clause( 277090, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( Z, T, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277091, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_lessequals'( Y, 'c_Orderings_Oord__class_Omin'( T, Z, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277092, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 280.61/281.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 280.61/281.15 , Y, X ) ) ] )
% 280.61/281.15 , clause( 277093, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 280.61/281.15 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , Z, X ) ] )
% 280.61/281.15 , clause( 277094, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 280.61/281.15 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , Z, X ) ] )
% 280.61/281.15 , clause( 277095, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277096, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 280.61/281.15 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277097, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , T, X ) ] )
% 280.61/281.15 , clause( 277098, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , T, X ) ] )
% 280.61/281.15 , clause( 277099, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 280.61/281.15 Z, X ) ) ] )
% 280.61/281.15 , clause( 277100, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 280.61/281.15 , clause( 277101, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 280.61/281.15 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 280.61/281.15 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 277102, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 280.61/281.15 , clause( 277103, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 280.61/281.15 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 280.61/281.15 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 280.61/281.15 W, X ), X ) ) ] )
% 280.61/281.15 , clause( 277104, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 280.61/281.15 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 280.61/281.15 , X ), T, X ), W, X ) ) ] )
% 280.61/281.15 , clause( 277105, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 280.61/281.15 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 280.61/281.15 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 280.61/281.15 W, X ), X ) ) ] )
% 280.61/281.15 , clause( 277106, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 280.61/281.15 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 280.61/281.15 , X ), W, X ), X ) ) ] )
% 280.61/281.15 , clause( 277107, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( T, Y, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277108, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 277109, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ),
% 280.61/281.15 Z, X ) ) ] )
% 280.61/281.15 , clause( 277110, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ),
% 280.61/281.15 Z, X ) ) ] )
% 280.61/281.15 , clause( 277111, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 Z, X ) ) ] )
% 280.61/281.15 , clause( 277112, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 T, X ) ) ] )
% 280.61/281.15 , clause( 277113, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 Z, X ) ) ] )
% 280.61/281.15 , clause( 277114, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 T, X ) ) ] )
% 280.61/281.15 , clause( 277115, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( Y, T, X ),
% 280.61/281.15 Z, X ) ) ] )
% 280.61/281.15 , clause( 277116, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_lessequals'( 'c_Orderings_Oord__class_Omax'( T, Y, X ),
% 280.61/281.15 Z, X ) ) ] )
% 280.61/281.15 , clause( 277117, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Y, T, X
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( T, Z
% 280.61/281.15 , X ), X ) ) ] )
% 280.61/281.15 , clause( 277118, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 280.61/281.15 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 280.61/281.15 , clause( 277119, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 280.61/281.15 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 280.61/281.15 , clause( 277120, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277121, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, Z, X
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( T, Y, X
% 280.61/281.15 ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277122, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 277123, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 280.61/281.15 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 280.61/281.15 X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277124, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , X ) ] )
% 280.61/281.15 , clause( 277125, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 277126, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 280.61/281.15 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277127, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 280.61/281.15 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277128, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277129, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277130, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277131, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277132, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277133, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277134, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277135, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277136, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_Orderings_Oord__class_Omax'( Z, T, X ),
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277137, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 277138, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 277139, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Y, Z, X ), 'c_Orderings_Oord__class_Omin'(
% 280.61/281.15 Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 277140, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277141, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277142, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 280.61/281.15 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277143, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 280.61/281.15 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277144, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 280.61/281.15 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277145, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 280.61/281.15 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277146, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277147, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ) ), =( Y, Z ) ] )
% 280.61/281.15 , clause( 277148, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ) ), =( Y, Z ) ] )
% 280.61/281.15 , clause( 277149, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.15 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 280.61/281.15 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 280.61/281.15 , clause( 277150, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ), X ) ) ] )
% 280.61/281.15 , clause( 277151, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ), X ) ) ] )
% 280.61/281.15 , clause( 277152, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 280.61/281.15 ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 280.61/281.15 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277153, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 280.61/281.15 ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 280.61/281.15 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277154, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277155, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.15 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277156, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277157, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277158, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277159, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277160, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 280.61/281.15 , clause( 277161, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277162, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277163, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_Orderings_Oord__class_Omin'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277164, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 280.61/281.15 , clause( 277165, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T,
% 280.61/281.15 X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277166, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277167, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 280.61/281.15 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277168, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277169, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 280.61/281.15 , clause( 277170, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 280.61/281.15 , clause( 277171, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277172, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277173, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 280.61/281.15 , X ), X ), X ) ) ] )
% 280.61/281.15 , clause( 277174, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 277175, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 277176, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 280.61/281.15 , X ), X ) ) ] )
% 280.61/281.15 , clause( 277177, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 280.61/281.15 , X ), X ) ) ] )
% 280.61/281.15 , clause( 277178, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277179, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277180, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277181, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277182, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277183, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277184, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277185, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277186, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277187, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277188, [ ~(
% 280.61/281.15 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 280.61/281.15 , clause( 277189, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277190, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277191, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277192, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 280.61/281.15 , clause( 277193, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277194, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277195, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 280.61/281.15 , clause( 277196, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 280.61/281.15 , clause( 277197, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277198, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ), T, X ) ) ] )
% 280.61/281.15 , clause( 277199, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277200, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277201, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 280.61/281.15 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 280.61/281.15 Z, Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277202, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omax'( Z, T,
% 280.61/281.15 X ), X ), 'c_Orderings_Oord__class_Omax'( Z,
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277203, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( 'c_Orderings_Oord__class_Omax'( Y, Z, X )
% 280.61/281.15 , T, X ), 'c_Orderings_Oord__class_Omax'( Y,
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277204, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 280.61/281.15 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277205, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277206, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277207, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 280.61/281.15 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277208, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 280.61/281.15 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277209, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 280.61/281.15 , clause( 277210, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 280.61/281.15 , clause( 277211, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277212, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 280.61/281.15 , clause( 277213, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277214, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277215, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 280.61/281.15 , clause( 277216, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277217, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 280.61/281.15 , clause( 277218, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 280.61/281.15 , Y, X ) ) ] )
% 280.61/281.15 , clause( 277219, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 280.61/281.15 ), Y ) ] )
% 280.61/281.15 , clause( 277220, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 277221, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 277222, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 280.61/281.15 ), Y ) ] )
% 280.61/281.15 , clause( 277223, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 280.61/281.15 ), Y ) ] )
% 280.61/281.15 , clause( 277224, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 280.61/281.15 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 277225, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 280.61/281.15 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277226, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277227, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 280.61/281.15 ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277228, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 280.61/281.15 ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277229, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 280.61/281.15 , X ), X ) ) ] )
% 280.61/281.15 , clause( 277230, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 280.61/281.15 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 280.61/281.15 , X ), X ) ) ] )
% 280.61/281.15 , clause( 277231, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277232, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277233, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 280.61/281.15 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277234, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 280.61/281.15 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277235, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277236, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277237, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 280.61/281.15 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277238, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 280.61/281.15 X ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277239, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 280.61/281.15 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277240, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 Z, X ) ) ] )
% 280.61/281.15 , clause( 277241, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277242, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 280.61/281.15 ), X ) ) ] )
% 280.61/281.15 , clause( 277243, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 280.61/281.15 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277244, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 280.61/281.15 , clause( 277245, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 280.61/281.15 , clause( 277246, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 280.61/281.15 , clause( 277247, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277248, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 280.61/281.15 , clause( 277249, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277250, [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 280.61/281.15 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 280.61/281.15 X ), Z, X ) ) ] )
% 280.61/281.15 , clause( 277251, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277252, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 277253, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277254, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277255, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277256, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 280.61/281.15 'c_lessequals'( Y, Z, X ) ] )
% 280.61/281.15 , clause( 277257, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 280.61/281.15 'c_lessequals'( Z, Y, X ) ) ] )
% 280.61/281.15 , clause( 277258, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 280.61/281.15 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 280.61/281.15 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277259, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 280.61/281.15 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 280.61/281.15 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277260, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 280.61/281.15 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 280.61/281.15 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277261, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 277262, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 277263, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277264, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 280.61/281.15 , clause( 277265, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 280.61/281.15 , clause( 277266, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277267, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277268, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.15 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 280.61/281.15 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 280.61/281.15 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 277269, [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) )
% 280.61/281.15 , =( X, Y ) ] )
% 280.61/281.15 , clause( 277270, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 280.61/281.15 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 280.61/281.15 X ), X ) ) ] )
% 280.61/281.15 , clause( 277271, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 280.61/281.15 X ) ] )
% 280.61/281.15 , clause( 277272, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277273, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 280.61/281.15 , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 280.61/281.15 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277274, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277275, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 280.61/281.15 , clause( 277276, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 280.61/281.15 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ] )
% 280.61/281.15 , clause( 277277, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277278, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277279, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 280.61/281.15 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 280.61/281.15 , clause( 277280, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 280.61/281.15 , clause( 277281, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 280.61/281.15 X ) ) ] )
% 280.61/281.15 , clause( 277282, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 280.61/281.15 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 280.61/281.15 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277283, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277284, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 280.61/281.15 , clause( 277285, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 280.61/281.15 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277286, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 280.61/281.15 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 280.61/281.15 , clause( 277287, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 280.61/281.15 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277288, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 280.61/281.15 , clause( 277289, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 277290, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277291, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277292, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 280.61/281.15 , clause( 277293, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277294, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Y, X ) ] )
% 280.61/281.15 , clause( 277295, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 Y, X ) ] )
% 280.61/281.15 , clause( 277296, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 280.61/281.15 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 280.61/281.15 'tc_RealDef_Oreal' ) ) ] )
% 280.61/281.15 , clause( 277297, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 280.61/281.15 , clause( 277298, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 280.61/281.15 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277299, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277300, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 277301, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 280.61/281.15 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277302, [ ~( 'class_Orderings_Oorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 280.61/281.15 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 280.61/281.15 , clause( 277303, [ ~( 'class_Orderings_Oorder'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 280.61/281.15 , clause( 277304, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 280.61/281.15 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 280.61/281.15 )
% 280.61/281.15 , clause( 277305, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 280.61/281.15 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277306, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 280.61/281.15 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277307, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277308, [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 280.61/281.15 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ] )
% 280.61/281.15 , clause( 277309, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.15 ) ) ] )
% 280.61/281.15 , clause( 277310, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277311, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.15 , T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277312, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.15 , T, X ), X ) ) ] )
% 280.61/281.15 , clause( 277313, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277314, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 280.61/281.15 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ] )
% 280.61/281.15 , clause( 277315, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277316, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 'c_Orderings_Oord__class_Omax'( Y, 'c_Orderings_Oord__class_Omin'( Z, T,
% 280.61/281.15 X ), X ), 'c_Orderings_Oord__class_Omin'( 'c_Orderings_Oord__class_Omax'(
% 280.61/281.15 Y, Z, X ), 'c_Orderings_Oord__class_Omax'( Y, T, X ), X ), X ) ] )
% 280.61/281.15 , clause( 277317, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.15 ), =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'(
% 280.61/281.15 'c_Lattices_Olower__semilattice__class_Oinf'(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 280.61/281.15 , X ), X ), X ) ) ] )
% 280.61/281.15 , clause( 277318, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 280.61/281.15 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277319, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.15 , clause( 277320, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 280.61/281.15 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 280.61/281.15 , clause( 277321, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.15 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 280.61/281.15 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 280.61/281.15 , clause( 277322, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 277323, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.15 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 280.61/281.15 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 280.61/281.15 , X ) ) ] )
% 280.61/281.15 , clause( 277324, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 280.61/281.15 ) ] )
% 280.61/281.15 , clause( 277325, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 280.61/281.15 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 280.61/281.15 ] )
% 280.61/281.15 , clause( 277326, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.15 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.15 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 280.61/281.15 , clause( 277327, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 280.61/281.15 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 280.61/281.15 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 280.61/281.15 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.15 , clause( 277328, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 280.61/281.15 =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 280.61/281.15 , 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ] )
% 280.61/281.15 , clause( 277329, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 Y, X ) ) ] )
% 280.61/281.15 , clause( 277330, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 Y, X ) ) ] )
% 280.61/281.15 , clause( 277331, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 280.61/281.15 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 280.61/281.15 , clause( 277332, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 280.61/281.15 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 280.61/281.15 , clause( 277333, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 Y, X ) ) ] )
% 280.61/281.15 , clause( 277334, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 280.61/281.15 Y, X ) ) ] )
% 280.61/281.15 , clause( 277335, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 280.61/281.15 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 280.61/281.15 , clause( 277336, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 280.61/281.15 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 280.61/281.15 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 280.61/281.15 , clause( 277337, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 280.61/281.15 ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 280.61/281.15 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 280.61/281.15 , clause( 277338, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277339, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Y, T, X ) ) ] )
% 280.61/281.15 , clause( 277340, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 280.61/281.15 X ), X ) ) ] )
% 280.61/281.15 , clause( 277341, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Z, T, X ) ) ] )
% 280.61/281.15 , clause( 277342, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 280.61/281.15 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.15 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.15 Z, T, X ) ) ] )
% 280.61/281.15 , clause( 277343, [ ~(
% 280.61/281.15 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 280.61/281.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 280.61/281.16 X ), X ) ) ] )
% 280.61/281.16 , clause( 277344, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.16 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 280.61/281.16 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 280.61/281.16 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 280.61/281.16 , clause( 277345, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 280.61/281.16 , clause( 277346, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 280.61/281.16 , clause( 277347, [ ~(
% 280.61/281.16 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 280.61/281.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 280.61/281.16 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 280.61/281.16 , clause( 277348, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.16 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.16 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.16 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 280.61/281.16 =( Y, T ) ] )
% 280.61/281.16 , clause( 277349, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.16 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 280.61/281.16 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.16 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 280.61/281.16 =( Y, T ) ] )
% 280.61/281.16 , clause( 277350, [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 280.61/281.16 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 280.61/281.16 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 280.61/281.16 Z, X ) ) ] )
% 280.61/281.16 , clause( 277351, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 280.61/281.16 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 280.61/281.16 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 280.61/281.16 , clause( 277352, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 280.61/281.16 X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 280.61/281.16 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277353, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 280.61/281.16 X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 280.61/281.16 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277354, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.16 ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 280.61/281.16 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277355, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.16 ), =( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 280.61/281.16 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277356, [ ~(
% 280.61/281.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omin'( Y, Z, X ), T
% 280.61/281.16 , X ), 'c_Orderings_Oord__class_Omin'( 'c_HOL_Oplus__class_Oplus'( Y, T,
% 280.61/281.16 X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277357, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 280.61/281.16 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 280.61/281.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 280.61/281.16 , clause( 277358, [ ~(
% 280.61/281.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_Orderings_Oord__class_Omax'( Y, Z, X ), T
% 280.61/281.16 , X ), 'c_Orderings_Oord__class_Omax'( 'c_HOL_Oplus__class_Oplus'( Y, T,
% 280.61/281.16 X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277359, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 280.61/281.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277360, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 280.61/281.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 280.61/281.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 280.61/281.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277361, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 280.61/281.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 280.61/281.16 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277362, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.16 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 280.61/281.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 280.61/281.16 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277363, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.16 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 280.61/281.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 280.61/281.16 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277364, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.16 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 280.61/281.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 280.61/281.16 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277365, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 280.61/281.16 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 280.61/281.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 280.61/281.16 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277366, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 280.61/281.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 280.61/281.16 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277367, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277368, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277369, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 280.61/281.16 , clause( 277370, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 280.61/281.16 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ] )
% 280.61/281.16 , clause( 277371, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 280.61/281.16 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ] )
% 280.61/281.16 , clause( 277372, [ ~(
% 280.61/281.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 280.61/281.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277373, [ ~(
% 280.61/281.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 280.61/281.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277374, [ ~(
% 280.61/281.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 280.61/281.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277375, [ ~(
% 280.61/281.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 280.61/281.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 280.61/281.16 , clause( 277376, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 280.61/281.16 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277377, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 280.61/281.16 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277378, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.16 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 280.61/281.16 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277379, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.16 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 280.61/281.16 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 280.61/281.16 , clause( 277380, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.16 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.16 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.16 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 280.61/281.16 , clause( 277381, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.16 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 280.61/281.16 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.16 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 280.61/281.16 , clause( 277382, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 280.61/281.16 ), Y ) ] )
% 280.61/281.16 , clause( 277383, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.16 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 280.61/281.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277384, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 280.61/281.16 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 280.61/281.16 , T, X ), X ), T, X ) ) ] )
% 280.61/281.16 , clause( 277385, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 280.61/281.16 X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 280.61/281.16 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277386, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 280.61/281.16 X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 280.61/281.16 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277387, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.16 ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 280.61/281.16 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277388, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 280.61/281.16 ), =( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 280.61/281.16 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277389, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 280.61/281.16 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ] )
% 280.61/281.16 , clause( 277390, [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 280.61/281.16 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ] )
% 280.61/281.16 , clause( 277391, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 280.61/281.16 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 280.61/281.16 , clause( 277392, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 280.61/281.16 , U, X ), X ) ) ] )
% 280.61/281.16 , clause( 277393, [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 280.61/281.16 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 280.61/281.16 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 280.61/281.16 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277394, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 280.61/281.16 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 280.61/281.16 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 280.61/281.16 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277395, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 280.61/281.16 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 280.61/281.16 , clause( 277396, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277397, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277398, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277399, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.16 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 280.61/281.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 280.61/281.16 , clause( 277400, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277401, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277402, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277403, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277404, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 280.61/281.16 ), Y ) ] )
% 280.61/281.16 , clause( 277405, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 280.61/281.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 280.61/281.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 280.61/281.16 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277406, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 280.61/281.16 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 280.61/281.16 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 280.61/281.16 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277407, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 280.61/281.16 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 280.61/281.16 'tc_Complex_Ocomplex' ),
% 280.61/281.16 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1'(
% 280.61/281.16 X, Z ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 280.61/281.16 'c_RealVector_Onorm__class_Onorm'( Y, 'tc_Complex_Ocomplex' ), Z,
% 280.61/281.16 'tc_RealDef_Oreal' ) ) ] )
% 280.61/281.16 , clause( 277408, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.16 =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 280.61/281.16 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ] )
% 280.61/281.16 , clause( 277409, [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ] )
% 280.61/281.16 , clause( 277410, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.16 =( 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 280.61/281.16 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ] )
% 280.61/281.16 , clause( 277411, [ =( 'c_Complex_Ocnj'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 280.61/281.16 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oplus__class_Oplus'( 'c_Complex_Ocnj'(
% 280.61/281.16 X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ] )
% 280.61/281.16 , clause( 277412, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.16 ~( =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X
% 280.61/281.16 ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 280.61/281.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 280.61/281.16 , clause( 277413, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.16 =( 'c_Polynomial_Odegree'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 280.61/281.16 ), 'c_Polynomial_Odegree'( Y, X ) ) ] )
% 280.61/281.16 , clause( 277414, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.16 =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 280.61/281.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 280.61/281.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 280.61/281.16 , clause( 277415, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.16 =( 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277416, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277417, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 280.61/281.16 Y, X ) ) ] )
% 280.61/281.16 , clause( 277418, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 280.61/281.16 Y, X ) ) ] )
% 280.61/281.16 , clause( 277419, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 280.61/281.16 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 280.61/281.16 , clause( 277420, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 280.61/281.16 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 T, Z, X ) ) ), =( Y, T ) ] )
% 280.61/281.16 , clause( 277421, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 280.61/281.16 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, T, X ) ) ), =( Z, T ) ] )
% 280.61/281.16 , clause( 277422, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 280.61/281.16 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 280.61/281.16 , clause( 277423, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 280.61/281.16 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 280.61/281.16 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 280.61/281.16 , clause( 277424, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 280.61/281.16 X ), X ) ) ] )
% 280.61/281.16 , clause( 277425, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.16 =( 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 280.61/281.16 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277426, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 280.61/281.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277427, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 280.61/281.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277428, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 280.61/281.16 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 280.61/281.16 , X ) ) ] )
% 280.61/281.16 , clause( 277429, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 280.61/281.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277430, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 280.61/281.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277431, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 280.61/281.16 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 280.61/281.16 , X ) ) ] )
% 280.61/281.16 , clause( 277432, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 280.61/281.16 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 280.61/281.16 , X ) ) ] )
% 280.61/281.16 , clause( 277433, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 280.61/281.16 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 280.61/281.16 , X ) ) ] )
% 280.61/281.16 , clause( 277434, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 280.61/281.16 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 280.61/281.16 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 280.61/281.16 , X ) ) ] )
% 280.61/281.16 , clause( 277435, [ ~( =( 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.16 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ),
% 280.61/281.16 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Oplus__class_Oplus'( 'v_a', 'v_x',
% 280.61/281.16 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ) ] )
% 280.61/281.16 , clause( 277436, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 280.61/281.16 , clause( 277437, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277438, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277439, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 280.61/281.16 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277440, [
% 280.61/281.16 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277441, [
% 280.61/281.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277442, [
% 280.61/281.16 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277443, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 280.61/281.16 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277444, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.16 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277445, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 280.61/281.16 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277446, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 280.61/281.16 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277447, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 280.61/281.16 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277448, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat'
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277449, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat'
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277450, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277451, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat'
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277452, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277453, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277454, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277455, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277456, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277457, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277458, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277459, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277460, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277461, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277462, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277463, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277464, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277465, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277466, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277467, [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277468, [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277469, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277470, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277471, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277472, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277473, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 280.61/281.16 , clause( 277474, [
% 280.61/281.16 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277475, [
% 280.61/281.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277476, [
% 280.61/281.16 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277477, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277478, [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277479, [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277480, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277481, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277482, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277483, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277484, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277485, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277486, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277487, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277488, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277489, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277490, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277491, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277492, [ 'class_Ring__and__Field_Opordered__semiring'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277493, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277494, [ 'class_Ring__and__Field_Oordered__semiring'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277495, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277496, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277497, [ 'class_Ring__and__Field_Oordered__semidom'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277498, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277499, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277500, [ 'class_RealVector_Oreal__normed__algebra'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277501, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277502, [ 'class_RealVector_Oreal__normed__vector'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277503, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277504, [ 'class_Ring__and__Field_Opordered__ring'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277505, [ 'class_Ring__and__Field_Oordered__field'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277506, [ 'class_Ring__and__Field_Olordered__ring'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277507, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277508, [ 'class_RealVector_Oreal__normed__field'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277509, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277510, [ 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277511, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277512, [ 'class_Lattices_Oupper__semilattice'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277513, [ 'class_Lattices_Olower__semilattice'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277514, [ 'class_Ring__and__Field_Omult__mono1'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277515, [ 'class_OrderedGroup_Oab__group__add'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277516, [ 'class_Ring__and__Field_Omult__zero'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277517, [ 'class_Ring__and__Field_Omult__mono'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277518, [ 'class_Ring__and__Field_Ocomm__ring'(
% 280.61/281.16 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277519, [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal'
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277520, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal'
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277521, [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277522, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277523, [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277524, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277525, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277526, [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277527, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277528, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277529, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277530, [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277531, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277532, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277533, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277534, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277535, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277536, [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ] )
% 280.61/281.16 , clause( 277537, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277538, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277539, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277540, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277541, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277542, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277543, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277544, [ 'class_RealVector_Oreal__normed__algebra'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277545, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277546, [ 'class_RealVector_Oreal__normed__vector'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277547, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277548, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277549, [ 'class_RealVector_Oreal__normed__field'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277550, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277551, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277552, [ 'class_OrderedGroup_Oab__group__add'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277553, [ 'class_Ring__and__Field_Omult__zero'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277554, [ 'class_Ring__and__Field_Ocomm__ring'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277555, [ 'class_Ring__and__Field_Osemiring'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277556, [ 'class_RealVector_Oreal__algebra'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277557, [ 'class_OrderedGroup_Omonoid__add'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277558, [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex'
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277559, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277560, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex'
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277561, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 280.61/281.16 ) ] )
% 280.61/281.16 , clause( 277562, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277563, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277564, [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' )
% 280.61/281.16 ] )
% 280.61/281.16 , clause( 277565, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277566, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277567, [
% 280.61/281.16 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277568, [
% 280.61/281.16 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277569, [
% 280.61/281.16 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277570, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277571, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277572, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277573, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277574, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277575, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277576, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 280.61/281.16 , clause( 277577, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277578, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277579, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277580, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 280.61/281.16 , clause( 277581, [ 'class_Ring__and__Field_Opordered__semiring'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277582, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277583, [ 'class_Ring__and__Field_Oordered__semiring'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277584, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 280.61/281.16 )
% 280.61/281.16 , clause( 277585, [ 'class_Ring__and__Field_Oordered__semidom'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277586, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 280.61/281.16 , clause( 277587, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 280.61/281.16 , clause( 277588, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 280.61/281.16 , clause( 277589, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277590, [ 'class_Ring__and__Field_Opordered__ring'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277591, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 280.61/281.16 , clause( 277592, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277593, [ 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277594, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277595, [ 'class_Ring__and__Field_Omult__mono1'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277596, [ 'class_OrderedGroup_Oab__group__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277597, [ 'class_Ring__and__Field_Omult__zero'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 280.61/281.16 , clause( 277598, [ 'class_Ring__and__Field_Omult__mono'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277599, [ 'class_Ring__and__Field_Ocomm__ring'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , clause( 277600, [ 'class_Ring__and__Field_Osemiring'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 280.61/281.16 , clause( 277601, [ 'class_OrderedGroup_Omonoid__add'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277602, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'(
% 280.61/281.16 X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 280.61/281.16 , clause( 277603, [ 'class_Ring__and__Field_Oabs__if'(
% 280.61/281.16 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 280.61/281.16 X ) ) ] )
% 280.61/281.16 , clause( 277604, [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'(
% 280.61/281.16 X ) ), ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 280.61/281.16 , clause( 277605, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'(
% 280.61/281.16 X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 280.61/281.16 , clause( 277606, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'(
% 280.61/281.16 X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 280.61/281.16 , clause( 277607, [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X
% 280.61/281.16 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 280.61/281.16 , clause( 277608, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X )
% 280.61/281.16 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 280.61/281.16 , clause( 277609, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X )
% 280.61/281.16 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 280.61/281.16 , clause( 277610, [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X )
% 280.61/281.16 ), ~( 'class_Ring__and__Field_Ofield'( X ) ) ] )
% 280.61/281.16 , clause( 277611, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) )
% 280.61/281.16 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 280.61/281.16 , clause( 277612, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 280.61/281.16 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 280.61/281.16 , clause( 277613, [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 280.61/281.16 'class_HOL_Ozero'( X ) ) ] )
% 280.61/281.16 ] ).
% 280.61/281.16
% 280.61/281.16
% 280.61/281.16
% 280.61/281.16 eqswap(
% 280.61/281.16 clause( 278376, [ =( 'c_Polynomial_Opoly'( X, 'c_HOL_Oplus__class_Oplus'( Y
% 280.61/281.16 , T, Z ), Z ), 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y, Z ), T
% 280.61/281.16 , Z ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( Z ) ) ] )
% 280.61/281.16 , clause( 277425, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 280.61/281.16 =( 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 280.61/281.16 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 280.61/281.16 ) ) ] )
% 280.61/281.16 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y ), :=( T, T )] )
% 280.61/281.16 ).
% 280.61/281.16
% 280.61/281.16
% 280.61/281.16 subsumption(
% 280.61/281.16 clause( 676, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 280.61/281.16 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ),
% 280.61/281.16 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 280.61/281.16 , X ) ) ] )
% 280.61/281.16 , clause( 278376, [ =( 'c_Polynomial_Opoly'( X, 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.16 Y, T, Z ), Z ), 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y, Z ), T
% 280.61/281.16 , Z ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( Z ) ) ] )
% 280.61/281.16 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X ), :=( T, T )] ),
% 280.61/281.16 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 280.61/281.16
% 280.61/281.16
% 280.61/281.16 eqswap(
% 280.61/281.16 clause( 279145, [ ~( =( 'c_Polynomial_Opoly'( 'v_p',
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'v_a', 'v_x', 'tc_Complex_Ocomplex' ),
% 280.61/281.16 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.16 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ) ) ) ] )
% 280.61/281.16 , clause( 277435, [ ~( =( 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.16 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ),
% 280.61/281.16 'c_Polynomial_Opoly'( 'v_p', 'c_HOL_Oplus__class_Oplus'( 'v_a', 'v_x',
% 280.61/281.16 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ) ] )
% 280.61/281.16 , 0, substitution( 0, [] )).
% 280.61/281.16
% 280.61/281.16
% 280.61/281.16 subsumption(
% 280.61/281.16 clause( 684, [ ~( =( 'c_Polynomial_Opoly'( 'v_p',
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'v_a', 'v_x', 'tc_Complex_Ocomplex' ),
% 280.61/281.16 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.16 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ) ) ) ] )
% 280.61/281.16 , clause( 279145, [ ~( =( 'c_Polynomial_Opoly'( 'v_p',
% 280.61/281.16 'c_HOL_Oplus__class_Oplus'( 'v_a', 'v_x', 'tc_Complex_Ocomplex' ),
% 280.61/281.16 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.16 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ) ) ) ] )
% 280.61/281.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 280.61/281.16
% 280.61/281.16
% 280.61/281.16 subsumption(
% 280.61/281.16 clause( 792, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , clause( 277543, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 280.61/281.16 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.16 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 280.61/281.16
% 280.61/281.16
% 280.61/281.16 eqswap(
% 280.61/281.16 clause( 279915, [ =( 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y, T ), Z
% 280.61/281.16 , T ), 'c_Polynomial_Opoly'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, T ), T
% 280.61/281.16 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( T ) ) ] )
% 280.61/281.16 , clause( 676, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 280.61/281.16 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ),
% 280.61/281.16 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 280.61/281.16 , X ) ) ] )
% 280.61/281.16 , 1, substitution( 0, [ :=( X, T ), :=( Y, X ), :=( Z, Y ), :=( T, Z )] )
% 280.61/281.16 ).
% 280.61/281.16
% 280.61/281.16
% 280.61/281.16 resolution(
% 280.61/281.16 clause( 279916, [ =( 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y,
% 280.61/281.16 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 280.61/281.16 X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Complex_Ocomplex' ),
% 280.61/281.16 'tc_Complex_Ocomplex' ) ) ] )
% 280.61/281.16 , clause( 279915, [ =( 'c_Polynomial_Opoly'(
% 280.61/281.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y, T ), Z
% 280.61/281.17 , T ), 'c_Polynomial_Opoly'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, T ), T
% 280.61/281.17 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( T ) ) ] )
% 280.61/281.17 , 1, clause( 792, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 280.61/281.17 'tc_Complex_Ocomplex' ) ] )
% 280.61/281.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T,
% 280.61/281.17 'tc_Complex_Ocomplex' )] ), substitution( 1, [] )).
% 280.61/281.17
% 280.61/281.17
% 280.61/281.17 eqswap(
% 280.61/281.17 clause( 279917, [ =( 'c_Polynomial_Opoly'( X, 'c_HOL_Oplus__class_Oplus'( Y
% 280.61/281.17 , Z, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 280.61/281.17 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y,
% 280.61/281.17 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ) ) ] )
% 280.61/281.17 , clause( 279916, [ =( 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y,
% 280.61/281.17 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 280.61/281.17 X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_Complex_Ocomplex' ),
% 280.61/281.17 'tc_Complex_Ocomplex' ) ) ] )
% 280.61/281.17 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 280.61/281.17
% 280.61/281.17
% 280.61/281.17 subsumption(
% 280.61/281.17 clause( 274751, [ =( 'c_Polynomial_Opoly'( X, 'c_HOL_Oplus__class_Oplus'( Y
% 280.61/281.17 , Z, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 280.61/281.17 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y,
% 280.61/281.17 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ) ) ] )
% 280.61/281.17 , clause( 279917, [ =( 'c_Polynomial_Opoly'( X, 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.17 Y, Z, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 280.61/281.17 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y,
% 280.61/281.17 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ) ) ] )
% 280.61/281.17 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 280.61/281.17 permutation( 0, [ ==>( 0, 0 )] ) ).
% 280.61/281.17
% 280.61/281.17
% 280.61/281.17 paramod(
% 280.61/281.17 clause( 279920, [ ~( =( 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.17 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ),
% 280.61/281.17 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.17 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ) ) ) ] )
% 280.61/281.17 , clause( 274751, [ =( 'c_Polynomial_Opoly'( X, 'c_HOL_Oplus__class_Oplus'(
% 280.61/281.17 Y, Z, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 280.61/281.17 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( X, Y,
% 280.61/281.17 'tc_Complex_Ocomplex' ), Z, 'tc_Complex_Ocomplex' ) ) ] )
% 280.61/281.17 , 0, clause( 684, [ ~( =( 'c_Polynomial_Opoly'( 'v_p',
% 280.61/281.17 'c_HOL_Oplus__class_Oplus'( 'v_a', 'v_x', 'tc_Complex_Ocomplex' ),
% 280.61/281.17 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.17 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ) ) ) ] )
% 280.61/281.17 , 0, 2, substitution( 0, [ :=( X, 'v_p' ), :=( Y, 'v_a' ), :=( Z, 'v_x' )] )
% 280.61/281.17 , substitution( 1, [] )).
% 280.61/281.17
% 280.61/281.17
% 280.61/281.17 eqrefl(
% 280.61/281.17 clause( 279921, [] )
% 280.61/281.17 , clause( 279920, [ ~( =( 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.17 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ),
% 280.61/281.17 'c_Polynomial_Opoly'(
% 280.61/281.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( 'v_p', 'v_a'
% 280.61/281.17 , 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ) ) ) ] )
% 280.61/281.17 , 0, substitution( 0, [] )).
% 280.61/281.17
% 280.61/281.17
% 280.61/281.17 subsumption(
% 280.61/281.17 clause( 276632, [] )
% 280.61/281.17 , clause( 279921, [] )
% 280.61/281.17 , substitution( 0, [] ), permutation( 0, [] ) ).
% 280.61/281.17
% 280.61/281.17
% 280.61/281.17 end.
% 280.61/281.17
% 280.61/281.17 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 280.61/281.17
% 280.61/281.17 Memory use:
% 280.61/281.17
% 280.61/281.17 space for terms: 8280432
% 280.61/281.17 space for clauses: 11810467
% 280.61/281.17
% 280.61/281.17
% 280.61/281.17 clauses generated: 1553772
% 280.61/281.17 clauses kept: 276633
% 280.61/281.17 clauses selected: 3213
% 280.61/281.17 clauses deleted: 4573
% 280.61/281.17 clauses inuse deleted: 15
% 280.61/281.17
% 280.61/281.17 subsentry: 14562586
% 280.61/281.17 literals s-matched: 8700451
% 280.61/281.17 literals matched: 7951219
% 280.61/281.17 full subsumption: 4928227
% 280.61/281.17
% 280.61/281.17 checksum: -1819502282
% 280.61/281.17
% 280.61/281.17
% 280.61/281.17 Bliksem ended
%------------------------------------------------------------------------------