TSTP Solution File: ALG439-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG439-1 : 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 12:10:57 EDT 2022
% Result : Unsatisfiable 0.80s 1.23s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ALG439-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.09 % Command : bliksem %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % DateTime : Wed Jun 8 02:07:06 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.80/1.16 *** allocated 10000 integers for termspace/termends
% 0.80/1.16 *** allocated 10000 integers for clauses
% 0.80/1.16 *** allocated 10000 integers for justifications
% 0.80/1.16 *** allocated 15000 integers for termspace/termends
% 0.80/1.16 *** allocated 22500 integers for termspace/termends
% 0.80/1.16 Bliksem 1.12
% 0.80/1.16
% 0.80/1.16
% 0.80/1.16 Automatic Strategy Selection
% 0.80/1.16
% 0.80/1.16 Clauses:
% 0.80/1.16 [
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.16 , X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.16 , X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.16 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.16 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.16 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.16 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.16 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.16 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.16 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.16 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 0.80/1.16 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.80/1.16 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 T, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.80/1.16 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.80/1.16 Y, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.80/1.16 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 T, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.80/1.16 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.80/1.16 Y, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.80/1.16 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.80/1.16 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( =(
% 0.80/1.16 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.80/1.16 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly'( X,
% 0.80/1.16 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.80/1.16 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.80/1.16 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.16 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.80/1.16 X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.16 , Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.16 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.16 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.16 ), =( Z, Y ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.80/1.16 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.16 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.80/1.16 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.80/1.16 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.16 , X ) ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.16 , X ) ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ), X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.16 , X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Opdivmod'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.16 'c_Pair'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.80/1.16 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.80/1.16 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.16 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.16 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.80/1.16 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.16 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.16 , 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( Y, T, Z, U, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.80/1.16 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.16 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.16 , X ), W, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.16 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.80/1.16 , X ), T, X ), W, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.16 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 0.80/1.16 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.80/1.16 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.16 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.16 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.80/1.16 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.80/1.16 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.16 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.16 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.16 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.16 T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.16 X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.16 T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.16 T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_Polynomial_Ocoeff'( Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.16 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.80/1.16 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.16 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.80/1.16 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.80/1.16 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.16 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.16 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.80/1.16 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.16 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.16 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.80/1.16 X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.16 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.80/1.16 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.16 , X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.16 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.16 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.16 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.16 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.16 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 Y, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.80/1.16 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.16 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.16 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.16 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.80/1.16 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.80/1.16 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.80/1.16 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.80/1.16 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.16 , X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.16 , X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.16 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 0.80/1.16 X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Odegree'(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ), 'c_HOL_Oone__class_Oone'(
% 0.80/1.16 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.16 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.16 , X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.16 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.16 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.80/1.16 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.80/1.16 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 T, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.80/1.16 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.80/1.16 'c_lessequals'( Z, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.80/1.16 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.16 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.16 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.16 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.16 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.16 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.80/1.16 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.16 , X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Odegree'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'(
% 0.80/1.16 X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly'(
% 0.80/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Odegree'(
% 0.80/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 0.80/1.16 ), 'c_Polynomial_Odegree'( Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , Y, X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.16 , Z, X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.16 , Z, X ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.16 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.80/1.16 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.80/1.16 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.16 ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ),
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.80/1.16 ), Y ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.80/1.16 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_Polynomial_Osmult'( T,
% 0.80/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.80/1.16 ), 'c_Polynomial_OpCons'( Y,
% 0.80/1.16 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.80/1.16 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.16 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.16 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.16 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.16 ), =( Z, T ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.16 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.16 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.16 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.16 , T, X ) ) ), =( Z, T ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.16 , T, X ) ) ), =( Y, Z ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.16 , T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.80/1.16 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ), T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.16 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.16 ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.16 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.16 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.16 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.80/1.16 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.80/1.16 'c_lessequals'( Y, Z, X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.80/1.16 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.16 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.16 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.16 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.16 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.16 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.16 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.16 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.16 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.16 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.16 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.16 , U, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.80/1.16 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.80/1.16 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 T, Z, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.16 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.80/1.16 X ) ) ), =( Z, T ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.80/1.16 X ) ) ), =( Z, T ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.16 X ) ) ), =( Y, T ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( 'c_HOL_Oone__class_Oone'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Oone__class_Oone'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Oone__class_Oone'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.80/1.16 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.80/1.16 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.80/1.16 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =(
% 0.80/1.16 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.80/1.16 ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.16 X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.16 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 0.80/1.16 , 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 0.80/1.16 ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 0.80/1.16 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 0.80/1.16 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.16 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.80/1.16 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.80/1.16 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.16 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.16 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.16 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.16 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.16 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.16 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.16 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.80/1.16 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.16 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.80/1.16 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.16 'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.16 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.16 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.16 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.16 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Suc'( T ), X ),
% 0.80/1.16 'c_Polynomial_Ocoeff'( Z, T, X ) ) ],
% 0.80/1.16 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.16 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.80/1.16 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.16 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.16 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.16 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.16 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.16 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.16 , X ), W, X ) ) ],
% 0.80/1.16 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.16 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.16 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.16 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.16 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.16 ,
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.16 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.80/1.16 ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.16 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.16 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.80/1.16 Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.16 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.16 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.80/1.17 T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 0.80/1.17 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 0.80/1.17 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 0.80/1.17 , ~( 'c_lessequals'( Y, W, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.80/1.17 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_Polynomial_Ocoeff'( Y,
% 0.80/1.17 'c_Polynomial_Odegree'( Y, X ), X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ), X ), ~(
% 0.80/1.17 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.80/1.17 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.80/1.17 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.17 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.80/1.17 W, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.17 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.80/1.17 , X ), T, X ), W, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.80/1.17 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.80/1.17 W, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.17 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.17 , X ), W, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.80/1.17 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.17 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.17 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.80/1.17 'c_Polynomial_Osynthetic__div'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Z ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.17 , X ), X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.17 , X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.17 , X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), U, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, W, 'tc_Polynomial_Opoly'( X ) ), V0,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opdivmod__rel'( V1, T
% 0.80/1.17 , U, W, X ) ), ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, V1, V0, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.17 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.17 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ), T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.17 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.80/1.17 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.17 Z, Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.17 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 0.80/1.17 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 0.80/1.17 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 0.80/1.17 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.17 ), Y ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.17 ), Y ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.17 ), Y ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.17 ), Y ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.17 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.17 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.17 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.80/1.17 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.17 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.80/1.17 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.17 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.17 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.17 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.17 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.80/1.17 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Y, Z ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 ) ), =( Y, Z ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.17 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.17 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.17 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.80/1.17 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.80/1.17 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.80/1.17 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ), =( 'c_Polynomial_Odegree'( Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.80/1.17 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.80/1.17 ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.80/1.17 'c_lessequals'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.80/1.17 'c_lessequals'( Y, Z, X ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.80/1.17 'c_lessequals'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.80/1.17 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.80/1.17 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.17 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.80/1.17 , X ), Y ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.17 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.17 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.80/1.17 ), Z, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.80/1.17 ), Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.80/1.17 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.80/1.17 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ), ~(
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 0.80/1.17 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 0.80/1.17 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 0.80/1.17 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.17 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.17 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.17 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.17 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Z, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.17 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.17 X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.80/1.17 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.80/1.17 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.80/1.17 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.80/1.17 , X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.80/1.17 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.17 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.80/1.17 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.17 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.17 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.80/1.17 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.17 , T, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.17 , Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.17 , X ), X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.17 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ),
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.80/1.17 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.17 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.17 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.17 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.80/1.17 'c_lessequals'( Z, Y, X ) ],
% 0.80/1.17 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.80/1.17 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.17 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.17 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.80/1.17 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.17 ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osynthetic__divmod'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'tc_Polynomial_Opoly'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 0.80/1.17 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.80/1.17 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y, 'c_Suc'( Z )
% 0.80/1.17 , X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.17 'c_Polynomial_Omonom'( Y, Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.80/1.17 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.80/1.17 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Polynomial_Oorder'( Z, Y
% 0.80/1.17 , X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ),
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 0.80/1.17 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.17 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, X ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.80/1.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.17 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.17 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.17 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.80/1.17 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.80/1.17 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Polynomial_Opdivmod'(
% 0.80/1.17 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Pair'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.17 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_nat' ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.17 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.17 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 0.80/1.17 , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 0.80/1.17 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.80/1.17 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.17 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.80/1.17 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 0.80/1.17 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.80/1.17 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 0.80/1.17 [ ~( =( 'c_Polynomial_Opoly'( X,
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv__2b__1'(
% 0.80/1.17 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( X,
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.80/1.17 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ), =( X, 'c_Polynomial_OpCons'(
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.80/1.17 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, 'tc_Complex_Ocomplex'
% 0.80/1.17 ), T, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1'( Y
% 0.80/1.17 , X, Z ), 'c_RealVector_Onorm__class_Onorm'( T, 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'tc_RealDef_Oreal' ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.80/1.17 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.80/1.17 ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.80/1.17 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.80/1.17 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.80/1.17 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'( Y,
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z
% 0.80/1.17 , 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.17 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 0.80/1.17 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'(
% 0.80/1.17 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =(
% 0.80/1.17 'c_Polynomial_Opoly'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ =( X, 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.80/1.17 ), X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.17 'c_Polynomial_OpCons'( Y, Z, 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1'(
% 0.80/1.17 X, Y, Z ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 0.80/1.17 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.80/1.17 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 0.80/1.17 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( X
% 0.80/1.17 , Y, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.80/1.17 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.80/1.17 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.80/1.17 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.80/1.17 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 0.80/1.17 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.17 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 0.80/1.17 , 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 0.80/1.17 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 0.80/1.17 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ ~( =( 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ), Y,
% 0.80/1.17 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 't_a' ) ),
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__4__1'
% 0.80/1.17 , 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.17 ) ), 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), ~( =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ),
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1'(
% 0.80/1.17 X ), 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.80/1.17 't_a' ),
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), 't_a' ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 0.80/1.17 'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 't_a' ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.80/1.17 't_a' ), X, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.80/1.17 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) ), ~( =(
% 0.80/1.17 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ), Y
% 0.80/1.17 , 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 0.80/1.17 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.17 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.17 ) ), X, 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 , Y, 'tc_Complex_Ocomplex' ), 'c_Polynomial_Opoly'(
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.17 ) ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.17 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ), X ) ],
% 0.80/1.17 [ =( X, 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.17 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 0.80/1.17 [ ~( =( 'v_c', 'v_y' ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.80/1.17 'c_Polynomial_OpCons'( 'v_c', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.17 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.80/1.17 , 'v_x', 'tc_Complex_Ocomplex' ), 'v_y' ) ) ],
% 0.80/1.17 [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c',
% 0.80/1.17 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.17 ) ), 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ), 'v_y' ),
% 0.80/1.17 =( 'v_c', 'v_y' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.80/1.17 ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_HOL_Oeq'( 'tc_prod'( X, Y ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.80/1.17 ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.80/1.17 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.80/1.17 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.17 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.17 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.80/1.17 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.80/1.17 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.17 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.80/1.17 ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.80/1.17 ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.80/1.17 ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.17 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.80/1.17 ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.80/1.17 ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_HOL_Oeq'( 'tc_Complex_Ocomplex' ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.17 ,
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.17 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.17 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.17 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.80/1.17 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.17 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.17 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.17 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.80/1.17 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.80/1.17 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.80/1.17 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.80/1.17 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.17 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.80/1.17 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 0.80/1.17 X ) ) ],
% 0.80/1.17 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 0.80/1.17 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 0.80/1.17 ] .
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 percentage equality = 0.229485, percentage horn = 0.930425
% 0.80/1.17 This is a problem with some equality
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17
% 0.80/1.17 Options Used:
% 0.80/1.17
% 0.80/1.17 useres = 1
% 0.80/1.17 useparamod = 1
% 0.80/1.17 useeqrefl = 1
% 0.80/1.17 useeqfact = 1
% 0.80/1.17 usefactor = 1
% 0.80/1.17 usesimpsplitting = 0
% 0.80/1.17 usesimpdemod = 5
% 0.80/1.17 usesimpres = 3
% 0.80/1.17
% 0.80/1.17 resimpinuse = 1000
% 0.80/1.17 resimpclauses = 20000
% 0.80/1.17 substype = eqrewr
% 0.80/1.17 backwardsubs = 1
% 0.80/1.17 selectoldest = 5
% 0.80/1.17
% 0.80/1.17 litorderings [0] = split
% 0.80/1.17 litorderings [1] = extend the termordering, first sorting on arguments
% 0.80/1.17
% 0.80/1.17 termordering = kbo
% 0.80/1.17
% 0.80/1.17 litapriori = 0
% 0.80/1.17 termapriori = 1
% 0.80/1.17 litaposteriori = 0
% 0.80/1.17 termaposteriori = 0
% 0.80/1.17 demodaposteriori = 0
% 0.80/1.17 ordereqreflfact = 0
% 0.80/1.17
% 0.80/1.17 litselect = negord
% 0.80/1.17
% 0.80/1.17 maxweight = 15
% 0.80/1.17 maxdepth = 30000
% 0.80/1.17 maxlength = 115
% 0.80/1.17 maxnrvars = 195
% 0.80/1.17 excuselevel = 1
% 0.80/1.17 increasemaxweight = 1
% 0.80/1.17
% 0.80/1.17 maxselected = 10000000
% 0.80/1.17 maxnrclauses = 10000000
% 0.80/1.17
% 0.80/1.17 showgenerated = 0
% 0.80/1.17 showkept = 0
% 0.80/1.17 showselected = 0
% 0.80/1.17 showdeleted = 0
% 0.80/1.17 showresimp = 1
% 0.80/1.17 showstatus = 2000
% 0.80/1.17
% 0.80/1.17 prologoutput = 1
% 0.80/1.17 nrgoals = 5000000
% 0.80/1.17 totalproof = 1
% 0.80/1.17
% 0.80/1.17 Symbols occurring in the translation:
% 0.80/1.17
% 0.80/1.17 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.80/1.17 . [1, 2] (w:1, o:142, a:1, s:1, b:0),
% 0.80/1.17 ! [4, 1] (w:0, o:64, a:1, s:1, b:0),
% 0.80/1.17 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.17 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.80/1.17 'class_OrderedGroup_Ogroup__add' [40, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.80/1.17
% 0.80/1.17 'c_HOL_Ouminus__class_Ouminus' [42, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.80/1.17 'c_HOL_Oplus__class_Oplus' [44, 3] (w:1, o:177, a:1, s:1, b:0),
% 0.80/1.17 'class_OrderedGroup_Oab__group__add' [45, 1] (w:1, o:70, a:1, s:1, b:
% 0.80/1.17 0),
% 0.80/1.17 'tc_Polynomial_Opoly' [47, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.80/1.17 'c_Polynomial_Odegree' [48, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.80/1.17 'class_Lattices_Odistrib__lattice' [49, 1] (w:1, o:72, a:1, s:1, b:0)
% 0.80/1.17 ,
% 0.80/1.17 'c_Lattices_Olower__semilattice__class_Oinf' [53, 3] (w:1, o:178, a:1
% 0.80/1.17 , s:1, b:0),
% 0.80/1.17 'c_Lattices_Oupper__semilattice__class_Osup' [54, 3] (w:1, o:179, a:1
% 0.80/1.17 , s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Ocomm__semiring__1' [55, 1] (w:1, o:76, a:1
% 0.80/1.17 , s:1, b:0),
% 0.80/1.17 'c_HOL_Otimes__class_Otimes' [57, 3] (w:1, o:180, a:1, s:1, b:0),
% 0.80/1.17 'c_Ring__and__Field_Odvd__class_Odvd' [58, 3] (w:1, o:181, a:1, s:1
% 0.80/1.17 , b:0),
% 0.80/1.17 'class_Ring__and__Field_Oordered__semidom' [59, 1] (w:1, o:79, a:1
% 0.80/1.17 , s:1, b:0),
% 0.80/1.17 'c_HOL_Oord__class_Oless' [60, 3] (w:1, o:176, a:1, s:1, b:0),
% 0.80/1.17 'c_HOL_Ozero__class_Ozero' [61, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Omult__mono1' [62, 1] (w:1, o:82, a:1, s:1
% 0.80/1.17 , b:0),
% 0.80/1.17 'c_lessequals' [63, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Omult__mono' [64, 1] (w:1, o:83, a:1, s:1, b:
% 0.80/1.17 0),
% 0.80/1.17 'class_Ring__and__Field_Opordered__ring' [65, 1] (w:1, o:88, a:1, s:1
% 0.80/1.17 , b:0),
% 0.80/1.17 'class_Orderings_Olinorder' [66, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.80/1.17 'class_OrderedGroup_Olordered__ab__group__add' [67, 1] (w:1, o:90, a:
% 0.80/1.17 1, s:1, b:0),
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [68, 2] (w:1
% 0.80/1.17 , o:168, a:1, s:1, b:0),
% 0.80/1.17 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [69, 2] (w:1
% 0.80/1.17 , o:169, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Oidom' [70, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.80/1.17 'class_Int_Onumber__ring' [71, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Oordered__ring__strict' [74, 1] (w:1, o:78
% 0.80/1.17 , a:1, s:1, b:0),
% 0.80/1.17 'c_Suc' [76, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.80/1.17 'class_Lattices_Oupper__semilattice' [77, 1] (w:1, o:96, a:1, s:1, b:
% 0.80/1.17 0),
% 0.80/1.17 'class_Ring__and__Field_Oordered__idom' [78, 1] (w:1, o:84, a:1, s:1
% 0.80/1.17 , b:0),
% 0.80/1.17 'c_Polynomial_Opos__poly' [80, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Ocomm__semiring__0' [81, 1] (w:1, o:75, a:1
% 0.80/1.17 , s:1, b:0),
% 0.80/1.17 'c_Polynomial_OpCons' [82, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.80/1.17 'c_Polynomial_Osmult' [83, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.80/1.17
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'
% 0.80/1.17 [84, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.80/1.17 'tc_Complex_Ocomplex' [85, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.80/1.17
% 0.80/1.17 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'
% 0.80/1.17 [86, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.80/1.17 'c_Polynomial_Opoly' [87, 3] (w:1, o:186, a:1, s:1, b:0),
% 0.80/1.17 'class_OrderedGroup_Oab__semigroup__idem__mult' [88, 1] (w:1, o:99
% 0.80/1.17 , a:1, s:1, b:0),
% 0.80/1.17 'c_Pair' [90, 4] (w:1, o:199, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Oordered__semiring__strict' [93, 1] (w:1, o:
% 0.80/1.17 85, a:1, s:1, b:0),
% 0.80/1.17 'class_Lattices_Olower__semilattice' [94, 1] (w:1, o:100, a:1, s:1
% 0.80/1.17 , b:0),
% 0.80/1.17 'class_Lattices_Olattice' [95, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.80/1.17 'c_HOL_Oone__class_Oone' [96, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.80/1.17 'class_OrderedGroup_Opordered__ab__group__add' [97, 1] (w:1, o:104
% 0.80/1.17 , a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Oring' [98, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.80/1.17 'class_RealVector_Oreal__normed__vector' [99, 1] (w:1, o:106, a:1, s:
% 0.80/1.17 1, b:0),
% 0.80/1.17 'c_HOL_Osgn__class_Osgn' [100, 2] (w:1, o:172, a:1, s:1, b:0),
% 0.80/1.17 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [101, 1]
% 0.80/1.17 (w:1, o:107, a:1, s:1, b:0),
% 0.80/1.17 'class_OrderedGroup_Opordered__ab__semigroup__add' [102, 1] (w:1, o:
% 0.80/1.17 108, a:1, s:1, b:0),
% 0.80/1.17 'c_HOL_Ominus__class_Ominus' [103, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.80/1.17 'c_Polynomial_Ocoeff' [104, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.80/1.17 'class_Ring__and__Field_Ofield' [105, 1] (w:1, o:109, a:1, s:1, b:0)
% 0.80/1.17 ,
% 0.80/1.17 'c_Polynomial_Opdivmod__rel' [109, 5] (w:1, o:200, a:1, s:1, b:0),
% 0.80/1.17 'class_Orderings_Oorder' [111, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.80/1.17 'tc_RealDef_Oreal' [113, 0] (w:1, o:40, a:1, s:1, b:0),
% 0.80/1.17 'class_Lattices_Oboolean__algebra' [114, 1] (w:1, o:111, a:1, s:1, b:
% 0.80/1.23 0),
% 0.80/1.23 'class_OrderedGroup_Opordered__comm__monoid__add' [119, 1] (w:1, o:
% 0.80/1.23 112, a:1, s:1, b:0),
% 0.80/1.23 'c_Polynomial_Opdivmod' [120, 3] (w:1, o:190, a:1, s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Osgn__if' [121, 1] (w:1, o:114, a:1, s:1, b:0
% 0.80/1.23 ),
% 0.80/1.23 'tc_nat' [122, 0] (w:1, o:47, a:1, s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Ocomm__ring__1' [123, 1] (w:1, o:73, a:1, s:1
% 0.80/1.23 , b:0),
% 0.80/1.23 'class_Ring__and__Field_Oordered__semiring' [124, 1] (w:1, o:86, a:1
% 0.80/1.23 , s:1, b:0),
% 0.80/1.23 'c_Polynomial_Opoly__gcd' [125, 3] (w:1, o:191, a:1, s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Odvd' [129, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Ocomm__ring' [130, 1] (w:1, o:74, a:1, s:1
% 0.80/1.23 , b:0),
% 0.80/1.23 'class_Ring__and__Field_Opordered__cancel__semiring' [134, 1] (w:1
% 0.80/1.23 , o:117, a:1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Oab__semigroup__mult' [135, 1] (w:1, o:118, a:1
% 0.80/1.23 , s:1, b:0),
% 0.80/1.23 'class_RealVector_Oreal__normed__algebra' [136, 1] (w:1, o:119, a:1
% 0.80/1.23 , s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Ocomm__semiring' [139, 1] (w:1, o:115, a:1
% 0.80/1.23 , s:1, b:0),
% 0.80/1.23 'class_HOL_Ozero' [140, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.80/1.23 'class_HOL_Oeq' [141, 1] (w:1, o:93, a:1, s:1, b:0),
% 0.80/1.23 'c_HOL_Oeq__class_Oeq' [142, 3] (w:1, o:192, a:1, s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Opordered__semiring' [144, 1] (w:1, o:120, a:
% 0.80/1.23 1, s:1, b:0),
% 0.80/1.23 'c_Polynomial_Omonom' [145, 3] (w:1, o:193, a:1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Ocomm__monoid__add' [146, 1] (w:1, o:121, a:1, s:
% 0.80/1.23 1, b:0),
% 0.80/1.23 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [149, 3]
% 0.80/1.23 (w:1, o:194, a:1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Omonoid__mult' [150, 1] (w:1, o:124, a:1, s:1, b:
% 0.80/1.23 0),
% 0.80/1.23 'class_OrderedGroup_Ocomm__monoid__mult' [151, 1] (w:1, o:125, a:1
% 0.80/1.23 , s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Olordered__ab__group__add__join' [152, 1] (w:1
% 0.80/1.23 , o:122, a:1, s:1, b:0),
% 0.80/1.23 'class_Orderings_Opreorder' [153, 1] (w:1, o:126, a:1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Oab__semigroup__add' [154, 1] (w:1, o:127, a:1
% 0.80/1.23 , s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Osemiring' [155, 1] (w:1, o:128, a:1, s:1, b:
% 0.80/1.23 0),
% 0.80/1.23 'class_RealVector_Oreal__normed__algebra__1' [156, 1] (w:1, o:129, a:
% 0.80/1.23 1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Ocancel__ab__semigroup__add' [157, 1] (w:1, o:130
% 0.80/1.23 , a:1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Ocancel__semigroup__add' [158, 1] (w:1, o:131, a:
% 0.80/1.23 1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Olordered__ab__group__add__meet' [159, 1] (w:1
% 0.80/1.23 , o:123, a:1, s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Olordered__ring' [161, 1] (w:1, o:81, a:1, s:
% 0.80/1.23 1, b:0),
% 0.80/1.23 'c_Polynomial_Opcompose' [166, 3] (w:1, o:189, a:1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Oordered__ab__group__add' [167, 1] (w:1, o:103
% 0.80/1.23 , a:1, s:1, b:0),
% 0.80/1.23 'c_RealVector_Onorm__class_Onorm' [168, 2] (w:1, o:173, a:1, s:1, b:0
% 0.80/1.23 ),
% 0.80/1.23 'c_Polynomial_Osynthetic__div' [170, 3] (w:1, o:195, a:1, s:1, b:0),
% 0.80/1.23
% 0.80/1.23 'class_Ring__and__Field_Oordered__comm__semiring__strict' [173, 1]
% 0.80/1.23 (w:1, o:87, a:1, s:1, b:0),
% 0.80/1.23 'c_Fun_Oid' [174, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [175, 1]
% 0.80/1.23 (w:1, o:132, a:1, s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Oring__no__zero__divisors' [176, 1] (w:1, o:
% 0.80/1.23 113, a:1, s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Omult__zero' [177, 1] (w:1, o:133, a:1, s:1
% 0.80/1.23 , b:0),
% 0.80/1.23 'class_Ring__and__Field_Ozero__neq__one' [178, 1] (w:1, o:134, a:1
% 0.80/1.23 , s:1, b:0),
% 0.80/1.23 'class_Ring__and__Field_Ono__zero__divisors' [179, 1] (w:1, o:77, a:1
% 0.80/1.23 , s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Omonoid__add' [180, 1] (w:1, o:135, a:1, s:1, b:0
% 0.80/1.23 ),
% 0.80/1.23 'class_RealVector_Oreal__normed__div__algebra' [183, 1] (w:1, o:136
% 0.80/1.23 , a:1, s:1, b:0),
% 0.80/1.23 'c_Polynomial_Osynthetic__divmod' [184, 3] (w:1, o:196, a:1, s:1, b:0
% 0.80/1.23 ),
% 0.80/1.23 'c_Polynomial_Oorder' [185, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.80/1.23 't_a' [186, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.80/1.23 'v_x' [187, 0] (w:1, o:58, a:1, s:1, b:0),
% 0.80/1.23 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv__2b__1'
% 0.80/1.23 [188, 1] (w:1, o:137, a:1, s:1, b:0),
% 0.80/1.23 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1' [189
% 0.80/1.23 , 3] (w:1, o:197, a:1, s:1, b:0),
% 0.80/1.23 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1' [
% 0.80/1.23 190, 3] (w:1, o:198, a:1, s:1, b:0),
% 0.80/1.23
% 0.80/1.23 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'
% 0.80/1.23 [191, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.80/1.23 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__4__1'
% 0.80/1.23 [192, 0] (w:1, o:59, a:1, s:1, b:0),
% 0.80/1.23 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1'
% 0.80/1.23 [193, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.80/1.23 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1'
% 0.80/1.23 [194, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.80/1.23 'v_c' [195, 0] (w:1, o:60, a:1, s:1, b:0),
% 0.80/1.23 'v_y' [196, 0] (w:1, o:61, a:1, s:1, b:0),
% 0.80/1.23 'class_OrderedGroup_Ocancel__comm__monoid__add' [198, 1] (w:1, o:141
% 0.80/1.23 , a:1, s:1, b:0),
% 0.80/1.23 'tc_prod' [200, 2] (w:1, o:175, a:1, s:1, b:0).
% 0.80/1.23
% 0.80/1.23
% 0.80/1.23 Starting Search:
% 0.80/1.23
% 0.80/1.23 Resimplifying inuse:
% 0.80/1.23 Done
% 0.80/1.23
% 0.80/1.23
% 0.80/1.23 Intermediate Status:
% 0.80/1.23 Generated: 4442
% 0.80/1.23 Kept: 2027
% 0.80/1.23 Inuse: 146
% 0.80/1.23 Deleted: 0
% 0.80/1.23 Deletedinuse: 0
% 0.80/1.23
% 0.80/1.23 Resimplifying inuse:
% 0.80/1.23 Done
% 0.80/1.23
% 0.80/1.23
% 0.80/1.23 Bliksems!, er is een bewijs:
% 0.80/1.23 % SZS status Unsatisfiable
% 0.80/1.23 % SZS output start Refutation
% 0.80/1.23
% 0.80/1.23 clause( 643, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.23 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ), X ) ] )
% 0.80/1.23 .
% 0.80/1.23 clause( 644, [ ~( =( 'v_y', 'v_c' ) ) ] )
% 0.80/1.23 .
% 0.80/1.23 clause( 645, [ =( 'v_y', 'v_c' ) ] )
% 0.80/1.23 .
% 0.80/1.23 clause( 2363, [] )
% 0.80/1.23 .
% 0.80/1.23
% 0.80/1.23
% 0.80/1.23 % SZS output end Refutation
% 0.80/1.23 found a proof!
% 0.80/1.23
% 0.80/1.23 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.23
% 0.80/1.23 initialclauses(
% 0.80/1.23 [ clause( 2365, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 0.80/1.23 , clause( 2366, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.23 'c_Polynomial_Odegree'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.23 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Odegree'( Y, X ) ) ] )
% 0.80/1.23 , clause( 2367, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.80/1.23 , clause( 2368, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.80/1.23 , clause( 2369, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.23 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.23 , clause( 2370, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.23 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.23 , clause( 2371, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.23 , X ), Z, X ) ) ] )
% 0.80/1.23 , clause( 2372, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.23 , X ), Z, X ) ) ] )
% 0.80/1.23 , clause( 2373, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.23 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.23 , clause( 2374, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 0.80/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 0.80/1.23 ] )
% 0.80/1.23 , clause( 2375, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 0.80/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 0.80/1.23 ] )
% 0.80/1.23 , clause( 2376, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 0.80/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.80/1.23 ] )
% 0.80/1.23 , clause( 2377, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 0.80/1.23 )
% 0.80/1.23 , clause( 2378, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.80/1.23 )
% 0.80/1.23 , clause( 2379, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.23 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 0.80/1.23 , clause( 2380, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.23 , =( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.23 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.23 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.80/1.23 )
% 0.80/1.23 , clause( 2381, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.23 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.23 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.23 , clause( 2382, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.23 , ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X
% 0.80/1.23 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.23 ) ) ] )
% 0.80/1.23 , clause( 2383, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.23 , ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X
% 0.80/1.23 ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.23 ) ) ] )
% 0.80/1.23 , clause( 2384, [ ~( =( X, 'c_Suc'( X ) ) ) ] )
% 0.80/1.23 , clause( 2385, [ ~( =( 'c_Suc'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2386, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 0.80/1.23 , clause( 2387, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 0.80/1.23 , clause( 2388, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 0.80/1.23 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.23 , clause( 2389, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 0.80/1.23 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.23 , clause( 2390, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 0.80/1.23 , clause( 2391, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 0.80/1.23 , clause( 2392, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.23 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.23 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.80/1.23 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ] )
% 0.80/1.23 , clause( 2393, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.23 =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 0.80/1.23 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.23 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ] )
% 0.80/1.23 , clause( 2394, [ ~( =(
% 0.80/1.23 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.80/1.23 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.80/1.23 'c_Polynomial_Opoly'( X,
% 0.80/1.23 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.80/1.23 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.23 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.23 , clause( 2395, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) )
% 0.80/1.23 , =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 0.80/1.23 , clause( 2396, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 0.80/1.23 , =( Y, W ) ] )
% 0.80/1.23 , clause( 2397, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 0.80/1.23 , =( X, U ) ] )
% 0.80/1.23 , clause( 2398, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.23 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.23 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.23 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.23 , clause( 2399, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.23 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.23 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.23 , clause( 2400, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.23 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.23 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.23 , clause( 2401, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.23 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.23 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.23 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2402, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.23 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.23 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.23 , X ) ) ] )
% 0.80/1.23 , clause( 2403, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.23 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.23 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.23 , X ) ) ] )
% 0.80/1.23 , clause( 2404, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.23 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.23 , X ) ) ] )
% 0.80/1.23 , clause( 2405, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.23 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.23 , X ) ) ] )
% 0.80/1.23 , clause( 2406, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.80/1.23 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.23 )
% 0.80/1.23 , clause( 2407, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.80/1.23 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.23 )
% 0.80/1.23 , clause( 2408, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.80/1.23 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.80/1.23 )
% 0.80/1.23 , clause( 2409, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.23 Z, X ) ] )
% 0.80/1.23 , clause( 2410, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.23 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.23 Y, X ) ] )
% 0.80/1.23 , clause( 2411, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 0.80/1.23 , clause( 2412, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 0.80/1.23 , clause( 2413, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.80/1.23 X ) ] )
% 0.80/1.23 , clause( 2414, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.23 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.23 , clause( 2415, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.23 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.23 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2416, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) )
% 0.80/1.23 , =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.23 , X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 0.80/1.23 , clause( 2417, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.23 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 0.80/1.23 , clause( 2418, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.23 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2419, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.23 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.23 , clause( 2420, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.23 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.23 X ), X ) ) ] )
% 0.80/1.23 , clause( 2421, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.23 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.23 , Z, X ) ) ] )
% 0.80/1.23 , clause( 2422, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.80/1.23 )
% 0.80/1.23 , clause( 2423, [ ~(
% 0.80/1.23 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.23 ) ] )
% 0.80/1.23 , clause( 2424, [ ~(
% 0.80/1.23 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.23 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.80/1.23 , clause( 2425, [ ~(
% 0.80/1.23 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.23 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.23 ) ] )
% 0.80/1.23 , clause( 2426, [ ~(
% 0.80/1.23 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.23 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 0.80/1.23 , clause( 2427, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.80/1.23 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.23 ) ] )
% 0.80/1.23 , clause( 2428, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.80/1.23 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.80/1.23 ) ] )
% 0.80/1.23 , clause( 2429, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ] )
% 0.80/1.23 , clause( 2430, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ] )
% 0.80/1.23 , clause( 2431, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.23 , clause( 2432, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ] )
% 0.80/1.23 , clause( 2433, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.23 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.80/1.23 , clause( 2434, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.23 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.23 , clause( 2435, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 0.80/1.23 , clause( 2436, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.23 'c_Polynomial_Ocoeff'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.80/1.23 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.23 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.80/1.23 ] )
% 0.80/1.23 , clause( 2437, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.23 ), =( Z, Y ) ] )
% 0.80/1.23 , clause( 2438, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.80/1.23 ) ] )
% 0.80/1.23 , clause( 2439, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.23 ) ] )
% 0.80/1.23 , clause( 2440, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.80/1.23 , clause( 2441, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.23 'c_Polynomial_Opdivmod__rel'( T, U, W, Z, X ) ), ~(
% 0.80/1.23 'c_Polynomial_Opdivmod__rel'( T, U, V0, Y, X ) ) ] )
% 0.80/1.23 , clause( 2442, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.23 'c_Polynomial_Opdivmod__rel'( T, U, Z, W, X ) ), ~(
% 0.80/1.23 'c_Polynomial_Opdivmod__rel'( T, U, Y, V0, X ) ) ] )
% 0.80/1.23 , clause( 2443, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.80/1.23 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 0.80/1.23 , clause( 2444, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.80/1.23 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.23 , clause( 2445, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.80/1.23 ), =( Z, Y ) ] )
% 0.80/1.23 , clause( 2446, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.80/1.23 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.23 , clause( 2447, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' )
% 0.80/1.23 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 0.80/1.23 , clause( 2448, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.23 , X ) ) ), =( Y, Z ) ] )
% 0.80/1.23 , clause( 2449, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.23 , X ) ) ), =( Y, Z ) ] )
% 0.80/1.23 , clause( 2450, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.23 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 0.80/1.23 , clause( 2451, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.23 , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 0.80/1.23 , clause( 2452, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.23 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.23 , clause( 2453, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.23 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 0.80/1.23 , clause( 2454, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.23 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 0.80/1.23 , clause( 2455, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.23 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.23 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 0.80/1.23 , clause( 2456, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.23 , ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.23 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.23 , clause( 2457, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.23 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 0.80/1.23 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 0.80/1.23 , clause( 2458, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.23 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2459, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.23 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2460, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.23 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.23 Z, Y, X ) ) ] )
% 0.80/1.23 , clause( 2461, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.23 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.23 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.23 , X ), X ) ) ] )
% 0.80/1.23 , clause( 2462, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.23 'c_Polynomial_Opdivmod'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.23 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.23 'tc_Polynomial_Opoly'( X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.23 , clause( 2463, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.23 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2464, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.80/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.80/1.23 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.23 , clause( 2465, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.80/1.23 , clause( 2466, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.80/1.23 , clause( 2467, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.80/1.23 , clause( 2468, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.23 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.80/1.23 , clause( 2469, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.23 'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.23 X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.80/1.23 , clause( 2470, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.23 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 0.80/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 0.80/1.23 , clause( 2471, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.23 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 0.80/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 0.80/1.23 , clause( 2472, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.23 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.23 , clause( 2473, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.23 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2474, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.23 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2475, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.23 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2476, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2477, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.23 , clause( 2478, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.23 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.23 , clause( 2479, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.23 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.23 , clause( 2480, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.23 'c_Polynomial_Opdivmod__rel'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.23 'c_Polynomial_Osmult'( Y, U, X ), 'c_Polynomial_Osmult'( Y, W, X ), X ),
% 0.80/1.23 ~( 'c_Polynomial_Opdivmod__rel'( Z, T, U, W, X ) ) ] )
% 0.80/1.23 , clause( 2481, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.23 , clause( 2482, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 0.80/1.23 , clause( 2483, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.24 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2484, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.24 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2485, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.24 ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.24 , T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2486, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.24 ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2487, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.24 , T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2488, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2489, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.24 , 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 0.80/1.24 , clause( 2490, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( Y, T, Z, U, X ) ) ] )
% 0.80/1.24 , clause( 2491, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Ocoeff'( 'c_Polynomial_Opoly__gcd'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.24 'c_Polynomial_Odegree'( 'c_Polynomial_Opoly__gcd'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2492, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 0.80/1.24 , clause( 2493, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.80/1.24 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2494, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2495, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 0.80/1.24 , clause( 2496, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.80/1.24 , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 0.80/1.24 ), X ) ) ] )
% 0.80/1.24 , clause( 2497, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 0.80/1.24 , clause( 2498, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 0.80/1.24 , clause( 2499, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.24 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 0.80/1.24 , clause( 2500, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 0.80/1.24 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2501, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 0.80/1.24 ~( 'c_lessequals'( U, T, X ) ) ] )
% 0.80/1.24 , clause( 2502, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 0.80/1.24 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2503, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Odegree'( 'c_Polynomial_Osmult'( Y, Z, X ), X ),
% 0.80/1.24 'c_Polynomial_Odegree'( Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2504, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.24 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.80/1.24 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ] )
% 0.80/1.24 , clause( 2505, [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.80/1.24 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.24 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ] )
% 0.80/1.24 , clause( 2506, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2507, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2508, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2509, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 0.80/1.24 Y, Z ) ] )
% 0.80/1.24 , clause( 2510, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 0.80/1.24 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.80/1.24 , clause( 2511, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2512, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 0.80/1.24 Z, Y ) ] )
% 0.80/1.24 , clause( 2513, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2514, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 0.80/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2515, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2516, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2517, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2518, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 0.80/1.24 , clause( 2519, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2520, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2521, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.24 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2522, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2523, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.80/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.80/1.24 T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2524, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.24 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.80/1.24 T, X ), Z, X ) ) ] )
% 0.80/1.24 , clause( 2525, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.24 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2526, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 0.80/1.24 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.24 , X ), T, X ) ) ] )
% 0.80/1.24 , clause( 2527, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 0.80/1.24 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.24 , T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2528, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 0.80/1.24 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.24 , X ), T, X ) ) ] )
% 0.80/1.24 , clause( 2529, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.24 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 0.80/1.24 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2530, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2531, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2532, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2533, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2534, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2535, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 0.80/1.24 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.80/1.24 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2536, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2537, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Ocoeff'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_Polynomial_Ocoeff'( Y, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2538, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2539, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2540, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2541, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2542, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.24 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.80/1.24 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2543, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 0.80/1.24 Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2544, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.80/1.24 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2545, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 0.80/1.24 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 2546, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.24 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ) ) ] )
% 0.80/1.24 , clause( 2547, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 0.80/1.24 ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2548, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2549, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2550, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2551, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2552, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 0.80/1.24 , clause( 2553, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ] )
% 0.80/1.24 , clause( 2554, [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y,
% 0.80/1.24 X ) ] )
% 0.80/1.24 , clause( 2555, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2556, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 0.80/1.24 , clause( 2557, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2558, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2559, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2560, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.24 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2561, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Y, Y, X ) ) ] )
% 0.80/1.24 , clause( 2562, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2563, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 0.80/1.24 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2564, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 0.80/1.24 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2565, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.24 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_Polynomial_OpCons'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ),
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2566, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 0.80/1.24 , clause( 2567, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 0.80/1.24 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2568, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2569, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y,
% 0.80/1.24 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.80/1.24 ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2570, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2571, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y,
% 0.80/1.24 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 0.80/1.24 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2572, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2573, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.24 , X ), X ) ) ] )
% 0.80/1.24 , clause( 2574, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.24 , X ), X ) ) ] )
% 0.80/1.24 , clause( 2575, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ] )
% 0.80/1.24 , clause( 2576, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ] )
% 0.80/1.24 , clause( 2577, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.24 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2578, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Ocoeff'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ),
% 0.80/1.24 'c_Polynomial_Odegree'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ),
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2579, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Ocoeff'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ),
% 0.80/1.24 'c_Polynomial_Odegree'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), X ), X ),
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2580, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 0.80/1.24 , clause( 2581, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2582, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2583, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2584, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2585, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2586, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2587, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2588, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2589, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.24 , X ), Z, X ) ) ] )
% 0.80/1.24 , clause( 2590, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.24 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2591, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.24 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2592, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2593, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2594, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2595, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2596, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.24 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2597, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.24 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 0.80/1.24 , clause( 2598, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2599, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2600, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.24 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2601, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.80/1.24 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.80/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 0.80/1.24 , clause( 2602, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.80/1.24 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.80/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.24 , clause( 2603, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2604, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X
% 0.80/1.24 ) ) ) ] )
% 0.80/1.24 , clause( 2605, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X
% 0.80/1.24 ) ) ) ] )
% 0.80/1.24 , clause( 2606, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.80/1.24 , X ), X ) ) ] )
% 0.80/1.24 , clause( 2607, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2608, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Odegree'( 'c_HOL_Oone__class_Oone'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2609, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opoly'(
% 0.80/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), T
% 0.80/1.24 , X ), 'c_Polynomial_Opoly'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2610, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.24 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.24 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2611, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Odegree'(
% 0.80/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 0.80/1.24 ), 'c_Polynomial_Odegree'( Y, X ) ) ] )
% 0.80/1.24 , clause( 2612, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2613, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2614, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2615, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2616, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2617, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2618, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.24 , Y, X ), X ) ] )
% 0.80/1.24 , clause( 2619, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.24 , Z, X ), X ) ] )
% 0.80/1.24 , clause( 2620, [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.24 , Z, X ), X ) ] )
% 0.80/1.24 , clause( 2621, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 0.80/1.24 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2622, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 0.80/1.24 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2623, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2624, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2625, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.24 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.24 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2626, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.24 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.24 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2627, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ),
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( Z, 'c_Polynomial_Opoly__gcd'( Y, T, X ), X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2628, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T, X ), X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2629, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.80/1.24 ), Y ) ] )
% 0.80/1.24 , clause( 2630, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.80/1.24 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Polynomial_Osmult'( T,
% 0.80/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.80/1.24 ), 'c_Polynomial_OpCons'( Y,
% 0.80/1.24 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 0.80/1.24 ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2631, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2632, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2633, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2634, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2635, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.24 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2636, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2637, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2638, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.80/1.24 X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2639, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.80/1.24 X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2640, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2641, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2642, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 0.80/1.24 , clause( 2643, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.80/1.24 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.80/1.24 , clause( 2644, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.80/1.24 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2645, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2646, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.24 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 ), =( Z, T ) ] )
% 0.80/1.24 , clause( 2647, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2648, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2649, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 0.80/1.24 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2650, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2651, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.80/1.24 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2652, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 0.80/1.24 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2653, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 0.80/1.24 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2654, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 0.80/1.24 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2655, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 0.80/1.24 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2656, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'(
% 0.80/1.24 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2657, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.80/1.24 , clause( 2658, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.80/1.24 Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.80/1.24 , clause( 2659, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 0.80/1.24 , clause( 2660, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2661, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.80/1.24 , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.80/1.24 , clause( 2662, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.80/1.24 , clause( 2663, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 0.80/1.24 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2664, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.80/1.24 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.24 , clause( 2665, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.24 , T, X ) ) ), =( Z, T ) ] )
% 0.80/1.24 , clause( 2666, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.80/1.24 , T, X ) ) ), =( Y, Z ) ] )
% 0.80/1.24 , clause( 2667, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2668, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.24 ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.80/1.24 , T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2669, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.24 ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2670, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.80/1.24 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2671, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ), T, X ) ) ] )
% 0.80/1.24 , clause( 2672, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.80/1.24 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2673, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2674, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2675, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2676, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2677, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2678, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.24 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.24 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ] )
% 0.80/1.24 , clause( 2679, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_Polynomial_Opoly'( Y, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2680, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.80/1.24 'c_lessequals'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2681, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.80/1.24 'c_lessequals'( Y, Z, X ) ] )
% 0.80/1.24 , clause( 2682, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.80/1.24 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2683, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2684, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2685, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.80/1.24 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 0.80/1.24 , clause( 2686, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2687, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2688, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2689, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.80/1.24 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2690, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.24 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2691, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2692, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2693, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2694, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.80/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2695, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2696, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.24 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2697, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.80/1.24 , U, X ), X ) ) ] )
% 0.80/1.24 , clause( 2698, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.80/1.24 , clause( 2699, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2700, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~(
% 0.80/1.24 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.24 , clause( 2701, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~(
% 0.80/1.24 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2702, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.24 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 0.80/1.24 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 0.80/1.24 , clause( 2703, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 0.80/1.24 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 0.80/1.24 , clause( 2704, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.80/1.24 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 Y, T, X ) ) ), =( Z, T ) ] )
% 0.80/1.24 , clause( 2705, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 0.80/1.24 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 T, Z, X ) ) ), =( Y, T ) ] )
% 0.80/1.24 , clause( 2706, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2707, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2708, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2709, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.24 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2710, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.24 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2711, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.24 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2712, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.24 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2713, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.24 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.24 , clause( 2714, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.24 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2715, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.24 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2716, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( 'c_HOL_Oone__class_Oone'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Oone__class_Oone'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2717, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( Y, 'c_HOL_Oone__class_Oone'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2718, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 0.80/1.24 , clause( 2719, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 0.80/1.24 , clause( 2720, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 0.80/1.24 , clause( 2721, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.24 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2722, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 0.80/1.24 ), X ) ] )
% 0.80/1.24 , clause( 2723, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 0.80/1.24 ), X ) ] )
% 0.80/1.24 , clause( 2724, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.24 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2725, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.24 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2726, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_Polynomial_Opos__poly'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Polynomial_Opos__poly'( Y, X ), =(
% 0.80/1.24 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2727, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2728, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Omonom'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ) ] )
% 0.80/1.24 , clause( 2729, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2730, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2731, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.80/1.24 X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2732, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.80/1.24 X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2733, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2734, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2735, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.24 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ] )
% 0.80/1.24 , clause( 2736, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.24 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 0.80/1.24 , clause( 2737, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 0.80/1.24 , 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 0.80/1.24 ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 0.80/1.24 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 0.80/1.24 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ] )
% 0.80/1.24 , clause( 2738, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 0.80/1.24 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ] )
% 0.80/1.24 , clause( 2739, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 2740, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2741, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y )
% 0.80/1.24 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2742, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.24 Y ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 0.80/1.24 , clause( 2743, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.24 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2744, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ) ] )
% 0.80/1.24 , clause( 2745, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ) ] )
% 0.80/1.24 , clause( 2746, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 0.80/1.24 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.24 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2747, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.24 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.80/1.24 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2748, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2749, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2750, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2751, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opcompose'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, 'c_Polynomial_Opcompose'( Z, T, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2752, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 0.80/1.24 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 0.80/1.24 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2753, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2754, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2755, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.24 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2756, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2757, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2758, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2759, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.24 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2760, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.24 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.80/1.24 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2761, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2762, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2763, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2764, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ] )
% 0.80/1.24 , clause( 2765, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2766, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.24 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Suc'( T ), X ),
% 0.80/1.24 'c_Polynomial_Ocoeff'( Z, T, X ) ) ] )
% 0.80/1.24 , clause( 2767, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.80/1.24 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2768, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.24 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 0.80/1.24 , clause( 2769, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.80/1.24 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.24 , X ), W, X ) ) ] )
% 0.80/1.24 , clause( 2770, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.80/1.24 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 0.80/1.24 , clause( 2771, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2772, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.80/1.24 , clause( 2773, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.80/1.24 Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2774, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'(
% 0.80/1.24 T, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2775, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2776, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2777, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 0.80/1.24 , clause( 2778, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 0.80/1.24 , 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 0.80/1.24 , 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 0.80/1.24 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 0.80/1.24 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 0.80/1.24 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 0.80/1.24 , ~( 'c_lessequals'( Y, W, X ) ) ] )
% 0.80/1.24 , clause( 2779, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.24 Y, X ) ) ] )
% 0.80/1.24 , clause( 2780, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.24 Y, X ) ) ] )
% 0.80/1.24 , clause( 2781, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 2782, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.80/1.24 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 0.80/1.24 , clause( 2783, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_Polynomial_Ocoeff'( Y,
% 0.80/1.24 'c_Polynomial_Odegree'( Y, X ), X ), X ) ) ] )
% 0.80/1.24 , clause( 2784, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ), X ), ~(
% 0.80/1.24 'c_Polynomial_Opos__poly'( Y, X ) ) ] )
% 0.80/1.24 , clause( 2785, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2786, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.80/1.24 , clause( 2787, [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ] )
% 0.80/1.24 , clause( 2788, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.24 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2789, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.80/1.24 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 0.80/1.24 W, X ), X ) ) ] )
% 0.80/1.24 , clause( 2790, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.24 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.80/1.24 , X ), T, X ), W, X ) ) ] )
% 0.80/1.24 , clause( 2791, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 0.80/1.24 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 0.80/1.24 W, X ), X ) ) ] )
% 0.80/1.24 , clause( 2792, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 0.80/1.24 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.80/1.24 , X ), W, X ), X ) ) ] )
% 0.80/1.24 , clause( 2793, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 0.80/1.24 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2794, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2795, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.24 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 0.80/1.24 , clause( 2796, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.24 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 0.80/1.24 , clause( 2797, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2798, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.24 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 0.80/1.24 =( Y, T ) ] )
% 0.80/1.24 , clause( 2799, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 0.80/1.24 'c_Polynomial_Osynthetic__div'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Z ) ] )
% 0.80/1.24 , clause( 2800, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2801, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2802, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 0.80/1.24 , clause( 2803, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.24 , X ), X ), X ) ) ] )
% 0.80/1.24 , clause( 2804, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2805, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2806, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.24 , X ), X ) ) ] )
% 0.80/1.24 , clause( 2807, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.24 , X ), X ) ) ] )
% 0.80/1.24 , clause( 2808, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2809, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), U, 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, W, 'tc_Polynomial_Opoly'( X ) ), V0,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opdivmod__rel'( V1, T
% 0.80/1.24 , U, W, X ) ), ~( 'c_Polynomial_Opdivmod__rel'( Y, Z, V1, V0, X ) ) ] )
% 0.80/1.24 , clause( 2810, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.80/1.24 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 0.80/1.24 , clause( 2811, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2812, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2813, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2814, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2815, [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.24 'c_Polynomial_Opoly'( Y, T, X ), 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2816, [ ~(
% 0.80/1.24 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.80/1.24 , clause( 2817, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2818, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 0.80/1.24 , clause( 2819, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.24 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.24 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2820, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 0.80/1.24 , clause( 2821, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2822, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2823, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.24 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.24 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 0.80/1.24 , clause( 2824, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.80/1.24 , clause( 2825, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2826, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ), T, X ) ) ] )
% 0.80/1.24 , clause( 2827, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2828, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2829, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.24 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 0.80/1.24 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 0.80/1.24 Z, Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2830, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.24 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2831, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 0.80/1.24 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2832, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.80/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2833, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.80/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2834, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 0.80/1.24 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 0.80/1.24 ) ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Y, Z, X ),
% 0.80/1.24 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2835, [ =( 'c_Fun_Oid'( X, Y ), X ) ] )
% 0.80/1.24 , clause( 2836, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.80/1.24 ), Y ) ] )
% 0.80/1.24 , clause( 2837, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2838, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.24 ), Y ) ] )
% 0.80/1.24 , clause( 2839, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2840, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2841, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.24 ), Y ) ] )
% 0.80/1.24 , clause( 2842, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.80/1.24 ), Y ) ] )
% 0.80/1.24 , clause( 2843, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.24 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2844, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.80/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2845, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2846, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 0.80/1.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 0.80/1.24 , Y, X ) ) ] )
% 0.80/1.24 , clause( 2847, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 0.80/1.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 0.80/1.24 , Y, X ) ) ] )
% 0.80/1.24 , clause( 2848, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 0.80/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.80/1.24 ), X ) ) ] )
% 0.80/1.24 , clause( 2849, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 0.80/1.24 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 0.80/1.24 ), X ) ) ] )
% 0.80/1.24 , clause( 2850, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2851, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2852, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.24 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2853, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.80/1.24 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2854, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.24 =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2855, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2856, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2857, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2858, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2859, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2860, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 0.80/1.24 ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2861, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 0.80/1.24 ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.80/1.24 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2862, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2863, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2864, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2865, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2866, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2867, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2868, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2869, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.80/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2870, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.80/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2871, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 , X ) ] )
% 0.80/1.24 , clause( 2872, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.80/1.24 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2873, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2874, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.80/1.24 ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2875, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2876, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2877, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.80/1.24 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2878, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 0.80/1.24 ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.24 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2879, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 0.80/1.24 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2880, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 0.80/1.24 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2881, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2882, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2883, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2884, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2885, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2886, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.24 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 0.80/1.24 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2887, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.24 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 0.80/1.24 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2888, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2889, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2890, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.80/1.24 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 0.80/1.24 , clause( 2891, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 ) ), =( Y, Z ) ] )
% 0.80/1.24 , clause( 2892, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 ) ), =( Y, Z ) ] )
% 0.80/1.24 , clause( 2893, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.24 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.80/1.24 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 0.80/1.24 , clause( 2894, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2895, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.80/1.24 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 0.80/1.24 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2896, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2897, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2898, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2899, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.24 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 0.80/1.24 =( Y, T ) ] )
% 0.80/1.24 , clause( 2900, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.24 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 2901, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'(
% 0.80/1.24 X ), X ) ] )
% 0.80/1.24 , clause( 2902, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.80/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 0.80/1.24 , clause( 2903, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.80/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2904, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2905, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2906, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.80/1.24 , clause( 2907, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.80/1.24 , clause( 2908, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.80/1.24 , clause( 2909, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 0.80/1.24 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2910, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 0.80/1.24 , clause( 2911, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 ~( =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =(
% 0.80/1.24 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2912, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 ~( =( 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_nat' ) ) ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2913, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.24 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2914, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2915, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2916, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2917, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2918, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 0.80/1.24 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2919, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.80/1.24 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2920, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.80/1.24 'c_lessequals'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2921, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.80/1.24 'c_lessequals'( Y, Z, X ) ] )
% 0.80/1.24 , clause( 2922, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.80/1.24 'c_lessequals'( Z, Y, X ) ) ] )
% 0.80/1.24 , clause( 2923, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 0.80/1.24 , clause( 2924, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 0.80/1.24 , clause( 2925, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.80/1.24 ) ) ) ] )
% 0.80/1.24 , clause( 2926, [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.80/1.24 ) ) ) ] )
% 0.80/1.24 , clause( 2927, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2928, [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2929, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.24 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.80/1.24 , X ), Y ) ] )
% 0.80/1.24 , clause( 2930, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2931, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.80/1.24 , X ) ) ] )
% 0.80/1.24 , clause( 2932, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 0.80/1.24 , clause( 2933, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.24 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.24 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2934, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X
% 0.80/1.24 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.80/1.24 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.80/1.24 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2935, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_Polynomial_Opoly__gcd'( Z, Y, X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2936, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2937, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 0.80/1.24 , clause( 2938, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.80/1.24 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2939, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.80/1.24 ), Z, 'tc_Polynomial_Opoly'( X ) ) ] )
% 0.80/1.24 , clause( 2940, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Opoly__gcd'( Y, Z, X
% 0.80/1.24 ), Y, 'tc_Polynomial_Opoly'( X ) ) ] )
% 0.80/1.24 , clause( 2941, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.80/1.24 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ) ) ] )
% 0.80/1.24 , clause( 2942, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Opoly__gcd'( Z, T
% 0.80/1.24 , X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ) ) ] )
% 0.80/1.24 , clause( 2943, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2944, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2945, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y )
% 0.80/1.24 , ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2946, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , ~( =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.80/1.24 Y ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 0.80/1.24 , clause( 2947, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 0.80/1.24 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 2948, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.24 'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ),
% 0.80/1.24 'c_Polynomial_Ocoeff'( Z, 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y,
% 0.80/1.24 Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 0.80/1.24 Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 2949, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.24 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2950, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2951, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 2952, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.80/1.24 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2953, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opoly'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.80/1.24 , clause( 2954, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 0.80/1.24 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_Polynomial_Omonom'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), Z, X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2955, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 0.80/1.24 , clause( 2956, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2957, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Z, T, X ) ) ] )
% 0.80/1.24 , clause( 2958, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Z, T, X ) ) ] )
% 0.80/1.24 , clause( 2959, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.80/1.24 X ), X ) ) ] )
% 0.80/1.24 , clause( 2960, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2961, [ ~(
% 0.80/1.24 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2962, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.80/1.24 , Y, X ) ] )
% 0.80/1.24 , clause( 2963, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 0.80/1.24 , X ) ] )
% 0.80/1.24 , clause( 2964, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.80/1.24 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 0.80/1.24 'tc_RealDef_Oreal' ) ) ] )
% 0.80/1.24 , clause( 2965, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 2966, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.80/1.24 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2967, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.80/1.24 , clause( 2968, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.80/1.24 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 0.80/1.24 , clause( 2969, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 0.80/1.24 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2970, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X )
% 0.80/1.24 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2971, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.80/1.24 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 0.80/1.24 , clause( 2972, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.80/1.24 , clause( 2973, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 0.80/1.24 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 2974, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 2975, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Oplus__class_Oplus'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ) ] )
% 0.80/1.24 , clause( 2976, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2977, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.24 , T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2978, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.80/1.24 , T, X ), X ) ) ] )
% 0.80/1.24 , clause( 2979, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.80/1.24 , Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2980, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 0.80/1.24 , =( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'(
% 0.80/1.24 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.80/1.24 , X ), X ), X ) ) ] )
% 0.80/1.24 , clause( 2981, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2982, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 0.80/1.24 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.80/1.24 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 2983, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ),
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 0.80/1.24 , clause( 2984, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) )
% 0.80/1.24 , =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 0.80/1.24 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2985, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.80/1.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2986, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 2987, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.80/1.24 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 2988, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'(
% 0.80/1.24 Y, Z, X ), 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ] )
% 0.80/1.24 , clause( 2989, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 2990, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 0.80/1.24 , clause( 2991, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 2992, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.80/1.24 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 2993, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.24 Y, X ) ) ] )
% 0.80/1.24 , clause( 2994, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.24 Y, X ) ) ] )
% 0.80/1.24 , clause( 2995, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 0.80/1.24 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.80/1.24 , clause( 2996, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 0.80/1.24 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 2997, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.24 Y, X ) ) ] )
% 0.80/1.24 , clause( 2998, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.80/1.24 Y, X ) ) ] )
% 0.80/1.24 , clause( 2999, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 0.80/1.24 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 3000, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3001, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3002, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3003, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3004, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3005, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 3006, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osynthetic__divmod'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_Pair'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'tc_Polynomial_Opoly'( X ), X ) ) ] )
% 0.80/1.24 , clause( 3007, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 0.80/1.24 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.24 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3008, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ] )
% 0.80/1.24 , clause( 3009, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y
% 0.80/1.24 , 'c_Suc'( Z ), X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X
% 0.80/1.24 ), 'c_Polynomial_Omonom'( Y, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 3010, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.24 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.80/1.24 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ] )
% 0.80/1.24 , clause( 3011, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Oorder'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3012, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a'
% 0.80/1.24 ) ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x',
% 0.80/1.24 't_a' ), 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ] )
% 0.80/1.24 , clause( 3013, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a'
% 0.80/1.24 ) ), =( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x',
% 0.80/1.24 't_a' ), 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ] )
% 0.80/1.24 , clause( 3014, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3015, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3016, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3017, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3018, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.80/1.24 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3019, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3020, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3021, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ) ] )
% 0.80/1.24 , clause( 3022, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 ~( =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X
% 0.80/1.24 ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3023, [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ) ] )
% 0.80/1.24 , clause( 3024, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ] )
% 0.80/1.24 , clause( 3025, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3026, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3027, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, T, X ) ) ] )
% 0.80/1.24 , clause( 3028, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Z, T, Y, X ) ) ] )
% 0.80/1.24 , clause( 3029, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Z, Y, T, X ) ) ] )
% 0.80/1.24 , clause( 3030, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Z, T, X ) ), =( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3031, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, Z ), ~(
% 0.80/1.24 'c_Polynomial_Opdivmod__rel'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), T, Y, X ) ) ] )
% 0.80/1.24 , clause( 3032, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly__gcd'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3033, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.80/1.24 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 0.80/1.24 , clause( 3034, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 0.80/1.24 , clause( 3035, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3036, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opcompose'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3037, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 0.80/1.24 , clause( 3038, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ] )
% 0.80/1.24 , clause( 3039, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opdivmod'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), 'c_Pair'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3040, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.24 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_nat' ) ) ] )
% 0.80/1.24 , clause( 3041, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y
% 0.80/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 0.80/1.24 , clause( 3042, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.80/1.24 =( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 0.80/1.24 , clause( 3043, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 0.80/1.24 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3044, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 0.80/1.24 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 0.80/1.24 , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3045, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 0.80/1.24 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3046, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 0.80/1.24 'c_Polynomial_Opos__poly'( Z, X ) ) ] )
% 0.80/1.24 , clause( 3047, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.80/1.24 'c_Polynomial_Opoly'( Z, T, X ), X ), X ) ) ] )
% 0.80/1.24 , clause( 3048, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 0.80/1.24 , 'c_Polynomial_Opoly'( Y, Z, X ) ) ] )
% 0.80/1.24 , clause( 3049, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opoly'( 'c_Polynomial_Opcompose'( Y, Z, X ), T, X ),
% 0.80/1.24 'c_Polynomial_Opoly'( Y, 'c_Polynomial_Opoly'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 3050, [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ] )
% 0.80/1.24 , clause( 3051, [ ~( =( 'c_Polynomial_Opoly'( X,
% 0.80/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv__2b__1'(
% 0.80/1.24 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 0.80/1.24 , clause( 3052, [ =( 'c_Polynomial_Opoly'( X,
% 0.80/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2'(
% 0.80/1.24 X ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ), =( X, 'c_Polynomial_OpCons'(
% 0.80/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1'(
% 0.80/1.24 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.24 , clause( 3053, [ 'c_lessequals'( X, 'c_RealVector_Onorm__class_Onorm'(
% 0.80/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, 'tc_Complex_Ocomplex'
% 0.80/1.24 ), T, 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.80/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1'( Y
% 0.80/1.24 , X, Z ), 'c_RealVector_Onorm__class_Onorm'( T, 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'tc_RealDef_Oreal' ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 0.80/1.24 , clause( 3054, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3055, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.24 'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3056, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.24 'c_Polynomial_Opoly'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.80/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ] )
% 0.80/1.24 , clause( 3057, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.80/1.24 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 0.80/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3058, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 0.80/1.24 , clause( 3059, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3060, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 3061, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3062, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.80/1.24 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 0.80/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 0.80/1.24 , clause( 3063, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.24 'c_Polynomial_Oorder'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.80/1.24 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.80/1.24 ~( =( 'c_Polynomial_Opoly'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3064, [ =( X, 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 0.80/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.80/1.24 ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.24 , clause( 3065, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.24 'c_Polynomial_OpCons'( Y, Z, 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1'(
% 0.80/1.24 X, Y, Z ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 0.80/1.24 , clause( 3066, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3067, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3068, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.80/1.24 'c_Polynomial_Osmult'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3069, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'(
% 0.80/1.24 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.80/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 3070, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3071, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 3072, [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 0.80/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 0.80/1.24 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( 'c_Polynomial_Opoly'( X
% 0.80/1.24 , Y, 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 0.80/1.24 , clause( 3073, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3074, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 0.80/1.24 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 0.80/1.24 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ] )
% 0.80/1.24 , clause( 3075, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 0.80/1.24 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ] )
% 0.80/1.24 , clause( 3076, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 ~( =( 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X )
% 0.80/1.24 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3077, [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 0.80/1.24 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.24 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3078, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X
% 0.80/1.24 ), 'c_Polynomial_OpCons'( 'c_Polynomial_Opoly'( Z, T, X ),
% 0.80/1.24 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ] )
% 0.80/1.24 , clause( 3079, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.24 , clause( 3080, [ =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 0.80/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.24 , clause( 3081, [ ~( =( 'c_Polynomial_Opoly'( X, Y, 'tc_Complex_Ocomplex' )
% 0.80/1.24 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ), Y,
% 0.80/1.24 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.24 , clause( 3082, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) )
% 0.80/1.24 , =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( 't_a' ) ),
% 0.80/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__4__1'
% 0.80/1.24 , 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 0.80/1.24 , clause( 3083, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.24 ) ), 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.24 , clause( 3084, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) )
% 0.80/1.24 , ~( =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ),
% 0.80/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1'(
% 0.80/1.24 X ), 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 0.80/1.24 , clause( 3085, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) )
% 0.80/1.24 , =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ),
% 0.80/1.24 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), 't_a' ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 0.80/1.24 , clause( 3086, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 0.80/1.24 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.80/1.24 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 3087, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 0.80/1.24 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 0.80/1.24 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3088, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 ~( =( 'c_Polynomial_Opoly'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.80/1.24 ), =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3089, [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ) ) ] )
% 0.80/1.24 , clause( 3090, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 0.80/1.24 =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3091, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.80/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 0.80/1.24 , clause( 3092, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) )
% 0.80/1.24 , =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ), 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ), X, 't_a' ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 0.80/1.24 , clause( 3093, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( 't_a' ) )
% 0.80/1.24 , ~( =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ), Y
% 0.80/1.24 , 't_a' ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( X,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ] )
% 0.80/1.24 , clause( 3094, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 0.80/1.24 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ] )
% 0.80/1.24 , clause( 3095, [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'(
% 0.80/1.24 Y, Z, X ), 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ] )
% 0.80/1.24 , clause( 3096, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'(
% 0.80/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.24 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ),
% 0.80/1.24 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ), Y, 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.24 , clause( 3097, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.24 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ), X ) ] )
% 0.80/1.24 , clause( 3098, [ =( X, 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.24 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ) ) ] )
% 0.80/1.24 , clause( 3099, [ ~( =( 'v_c', 'v_y' ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.80/1.24 'c_Polynomial_OpCons'( 'v_c', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.80/1.24 , 'v_x', 'tc_Complex_Ocomplex' ), 'v_y' ) ) ] )
% 0.80/1.24 , clause( 3100, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c',
% 0.80/1.24 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.24 ) ), 'tc_Complex_Ocomplex' ), 'v_x', 'tc_Complex_Ocomplex' ), 'v_y' ),
% 0.80/1.24 =( 'v_c', 'v_y' ) ] )
% 0.80/1.24 , clause( 3101, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 0.80/1.24 , clause( 3102, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3103, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3104, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3105, [ 'class_HOL_Oeq'( 'tc_prod'( X, Y ) ) ] )
% 0.80/1.24 , clause( 3106, [
% 0.80/1.24 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3107, [
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3108, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.24 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3109, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.24 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3110, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.24 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3111, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.80/1.24 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3112, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.80/1.24 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3113, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.24 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3114, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3115, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3116, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3117, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3118, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3119, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3120, [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3121, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3122, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3123, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3124, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3125, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3126, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3127, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3128, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3129, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3130, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3131, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3132, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3133, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3134, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3135, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3136, [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3137, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3138, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3139, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3140, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3141, [ 'class_HOL_Ozero'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3142, [ 'class_HOL_Oeq'( 'tc_nat' ) ] )
% 0.80/1.24 , clause( 3143, [
% 0.80/1.24 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3144, [
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3145, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3146, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3147, [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3148, [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3149, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3150, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3151, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3152, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3153, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3154, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3155, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3156, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3157, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3158, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3159, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3160, [ 'class_Ring__and__Field_Opordered__semiring'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3161, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3162, [ 'class_Ring__and__Field_Oordered__semiring'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3163, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3164, [ 'class_Ring__and__Field_Oordered__semidom'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3165, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3166, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3167, [ 'class_RealVector_Oreal__normed__algebra'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3168, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3169, [ 'class_RealVector_Oreal__normed__vector'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3170, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3171, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3172, [ 'class_Ring__and__Field_Opordered__ring'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3173, [ 'class_Ring__and__Field_Olordered__ring'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3174, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3175, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3176, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3177, [ 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3178, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 0.80/1.24 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3179, [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3180, [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3181, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3182, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3183, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3184, [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3185, [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3186, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3187, [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3188, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3189, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3190, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3191, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3192, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3193, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3194, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3195, [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3196, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3197, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3198, [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3199, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3200, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3201, [ 'class_HOL_Ozero'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3202, [ 'class_HOL_Oeq'( 'tc_RealDef_Oreal' ) ] )
% 0.80/1.24 , clause( 3203, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3204, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3205, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3206, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3207, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3208, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3209, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3210, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3211, [ 'class_RealVector_Oreal__normed__algebra'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3212, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3213, [ 'class_RealVector_Oreal__normed__vector'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3214, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3215, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3216, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3217, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3218, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3219, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3220, [ 'class_OrderedGroup_Oab__group__add'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3221, [ 'class_Ring__and__Field_Omult__zero'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3222, [ 'class_Ring__and__Field_Ocomm__ring'(
% 0.80/1.24 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3223, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3224, [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3225, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 0.80/1.24 ) ] )
% 0.80/1.24 , clause( 3226, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3227, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 0.80/1.24 ] )
% 0.80/1.24 , clause( 3228, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3229, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3230, [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3231, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3232, [ 'class_HOL_Ozero'( 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3233, [ 'class_HOL_Oeq'( 'tc_Complex_Ocomplex' ) ] )
% 0.80/1.24 , clause( 3234, [
% 0.80/1.24 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3235, [
% 0.80/1.24 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3236, [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3237, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3238, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3239, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3240, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3241, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3242, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 0.80/1.24 , clause( 3243, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3244, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3245, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3246, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 0.80/1.24 , clause( 3247, [ 'class_Ring__and__Field_Opordered__semiring'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3248, [ 'class_Ring__and__Field_Oordered__semiring'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3249, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.80/1.24 )
% 0.80/1.24 , clause( 3250, [ 'class_Ring__and__Field_Oordered__semidom'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3251, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.24 , clause( 3252, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.24 , clause( 3253, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.24 , clause( 3254, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.24 , clause( 3255, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3256, [ 'class_Ring__and__Field_Opordered__ring'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3257, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.24 , clause( 3258, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3259, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.24 , clause( 3260, [ 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3261, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3262, [ 'class_Ring__and__Field_Omult__mono1'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3263, [ 'class_OrderedGroup_Oab__group__add'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 3264, [ 'class_Ring__and__Field_Omult__zero'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.24 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.24 , clause( 3265, [ 'class_Ring__and__Field_Omult__mono'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.80/1.24 X ) ) ] )
% 0.80/1.24 , clause( 3266, [ 'class_Ring__and__Field_Ocomm__ring'(
% 0.80/1.24 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X
% 0.80/1.24 ) ) ] )
% 0.80/1.24 , clause( 3267, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.24 , clause( 3268, [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 0.80/1.24 , clause( 3269, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ] )
% 0.80/1.24 , clause( 3270, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ] )
% 0.80/1.24 , clause( 3271, [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'(
% 0.80/1.24 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.80/1.24 , clause( 3272, [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X
% 0.80/1.24 ) ), ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ] )
% 0.80/1.24 , clause( 3273, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X
% 0.80/1.24 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 0.80/1.24 , clause( 3274, [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X )
% 0.80/1.24 ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 0.80/1.24 , clause( 3275, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.25 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.80/1.25 , clause( 3276, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) )
% 0.80/1.25 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.80/1.25 , clause( 3277, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.25 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 0.80/1.25 , clause( 3278, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 0.80/1.25 ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 0.80/1.25 , clause( 3279, [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.25 'class_HOL_Ozero'( X ) ) ] )
% 0.80/1.25 , clause( 3280, [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.80/1.25 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ) ] )
% 0.80/1.25 ] ).
% 0.80/1.25
% 0.80/1.25
% 0.80/1.25
% 0.80/1.25 subsumption(
% 0.80/1.25 clause( 643, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.25 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ), X ) ] )
% 0.80/1.25 , clause( 3097, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.25 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ), X ) ] )
% 0.80/1.25 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.80/1.25 )] ) ).
% 0.80/1.25
% 0.80/1.25
% 0.80/1.25 paramod(
% 0.80/1.25 clause( 5543, [ ~( =( 'v_c', 'v_y' ) ), ~( =( 'v_c', 'v_y' ) ) ] )
% 0.80/1.25 , clause( 643, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.25 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ), X ) ] )
% 0.80/1.25 , 0, clause( 3099, [ ~( =( 'v_c', 'v_y' ) ), ~( =( 'c_Polynomial_Opoly'(
% 0.80/1.25 'c_Polynomial_OpCons'( 'v_c', 'c_HOL_Ozero__class_Ozero'(
% 0.80/1.25 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' )
% 0.80/1.25 , 'v_x', 'tc_Complex_Ocomplex' ), 'v_y' ) ) ] )
% 0.80/1.25 , 1, 2, substitution( 0, [ :=( X, 'v_c' ), :=( Y, 'v_x' )] ),
% 0.80/1.25 substitution( 1, [] )).
% 0.80/1.25
% 0.80/1.25
% 0.80/1.25 factor(
% 0.80/1.25 clause( 5544, [ ~( =( 'v_c', 'v_y' ) ) ] )
% 0.80/1.25 , clause( 5543, [ ~( =( 'v_c', 'v_y' ) ), ~( =( 'v_c', 'v_y' ) ) ] )
% 0.80/1.25 , 0, 1, substitution( 0, [] )).
% 0.80/1.25
% 0.80/1.25
% 0.80/1.25 eqswap(
% 0.80/1.25 clause( 5545, [ ~( =( 'v_y', 'v_c' ) ) ] )
% 0.80/1.25 , clause( 5544, [ ~( =( 'v_c', 'v_y' ) ) ] )
% 0.80/1.25 , 0, substitution( 0, [] )).
% 0.80/1.25
% 0.80/1.25
% 0.80/1.25 subsumption(
% 0.80/1.25 clause( 644, [ ~( =( 'v_y', 'v_c' ) ) ] )
% 0.80/1.25 , clause( 5545, [ ~( =( 'v_y', 'v_c' ) ) ] )
% 0.80/1.25 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.25
% 0.80/1.25
% 0.80/1.25 paramod(
% 0.80/1.25 clause( 7073, [ =( 'v_c', 'v_y' ), =( 'v_c', 'v_y' ) ] )
% 0.80/1.25 , clause( 643, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( X,
% 0.80/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex'
% 0.80/1.25 ) ), 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex' ), X ) ] )
% 0.80/1.25 , 0, clause( 3100, [ =( 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( 'v_c'
% 0.80/1.25 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.80/1.25 'tc_Complex_Ocomplex' ) ), 'tc_Complex_Ocomplex' ), 'v_x',
% 0.80/1.25 'tc_Complex_Ocomplex' ), 'v_y' ), =( 'v_c', 'v_y' ) ] )
% 0.80/1.25 , 0, 1, substitution( 0, [ :=( X, 'v_c' ), :=( Y, 'v_x' )] ),
% 0.80/1.25 substitution( 1, [] )).
% 0.80/1.25
% 0.80/1.25
% 0.80/1.25 factor(
% 0.80/1.25 clause( 7074, [ =( 'v_c', 'v_y' ) ] )
% 0.80/1.25 , clause( 7073, [ =( 'v_c', 'v_y' ), =( 'v_c', 'v_y' ) ] )
% 0.80/1.25 , 0, 1, substitution( 0, [] )).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 eqswap(
% 0.80/1.26 clause( 7075, [ =( 'v_y', 'v_c' ) ] )
% 0.80/1.26 , clause( 7074, [ =( 'v_c', 'v_y' ) ] )
% 0.80/1.26 , 0, substitution( 0, [] )).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 645, [ =( 'v_y', 'v_c' ) ] )
% 0.80/1.26 , clause( 7075, [ =( 'v_y', 'v_c' ) ] )
% 0.80/1.26 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 resolution(
% 0.80/1.26 clause( 7078, [] )
% 0.80/1.26 , clause( 644, [ ~( =( 'v_y', 'v_c' ) ) ] )
% 0.80/1.26 , 0, clause( 645, [ =( 'v_y', 'v_c' ) ] )
% 0.80/1.26 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 subsumption(
% 0.80/1.26 clause( 2363, [] )
% 0.80/1.26 , clause( 7078, [] )
% 0.80/1.26 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 end.
% 0.80/1.26
% 0.80/1.26 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.80/1.26
% 0.80/1.26 Memory use:
% 0.80/1.26
% 0.80/1.26 space for terms: 87674
% 0.80/1.26 space for clauses: 145369
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 clauses generated: 5577
% 0.80/1.26 clauses kept: 2364
% 0.80/1.26 clauses selected: 163
% 0.80/1.26 clauses deleted: 1
% 0.80/1.26 clauses inuse deleted: 0
% 0.80/1.26
% 0.80/1.26 subsentry: 25745
% 0.80/1.26 literals s-matched: 13366
% 0.80/1.26 literals matched: 12721
% 0.80/1.26 full subsumption: 5423
% 0.80/1.26
% 0.80/1.26 checksum: 1330461332
% 0.80/1.26
% 0.80/1.26
% 0.80/1.26 Bliksem ended
%------------------------------------------------------------------------------