TSTP Solution File: ALG340-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG340-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 12:10:23 EDT 2022
% Result : Unsatisfiable 29.34s 29.74s
% Output : Refutation 29.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ALG340-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 8 19:14:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.85/1.22 *** allocated 10000 integers for termspace/termends
% 0.85/1.22 *** allocated 10000 integers for clauses
% 0.85/1.22 *** allocated 10000 integers for justifications
% 0.85/1.22 *** allocated 15000 integers for termspace/termends
% 0.85/1.22 Bliksem 1.12
% 0.85/1.22
% 0.85/1.22
% 0.85/1.22 Automatic Strategy Selection
% 0.85/1.22
% 0.85/1.22 Clauses:
% 0.85/1.22 [
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.22 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.22 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.22 , Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.22 , T, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.22 , T, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.22 , Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.85/1.22 ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.85/1.22 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.85/1.22 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.85/1.22 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.85/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.85/1.22 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.85/1.22 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.22 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.85/1.22 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.22 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.85/1.22 'tc_RealDef_Oreal' ) ],
% 0.85/1.22 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.85/1.22 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.85/1.22 ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.85/1.22 ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.85/1.22 X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.85/1.22 ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.85/1.22 X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.85/1.22 ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.85/1.22 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.85/1.22 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.85/1.22 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.22 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.85/1.22 X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Z, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Z, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.85/1.22 X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.22 ), X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.22 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.85/1.22 X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.85/1.22 Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.85/1.22 Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.85/1.22 X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.85/1.22 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.85/1.22 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 X ), T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.85/1.22 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.85/1.22 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.22 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.22 Y, T, X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.22 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.22 Y, T, X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.85/1.22 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.85/1.22 , Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.85/1.22 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.22 , Z, X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.85/1.22 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.22 , Z, X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.85/1.22 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.85/1.22 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.22 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.22 , T, X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.22 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.22 , T, X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.22 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.22 Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.85/1.22 ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.85/1.22 ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.85/1.22 ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.85/1.22 ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.22 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.85/1.22 ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.85/1.22 ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.85/1.22 ],
% 0.85/1.22 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.85/1.22 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.85/1.22 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.85/1.22 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.85/1.22 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.85/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.85/1.22 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.22 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.22 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 X ), T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.22 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.22 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.85/1.22 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.22 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.85/1.22 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.85/1.22 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.85/1.22 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.22 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.85/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.22 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.22 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.85/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.85/1.22 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.22 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.22 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.22 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.85/1.22 ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.22 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.22 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.22 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.22 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.85/1.22 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.22 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.85/1.22 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.22 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.85/1.22 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.85/1.22 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.22 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.22 , X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.22 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.85/1.22 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.22 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.85/1.22 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.85/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.22 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.85/1.22 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.85/1.22 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.85/1.22 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.85/1.22 ,
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.22 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.85/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.85/1.22 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.85/1.22 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.22 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.22 ), X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.22 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.22 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'( Y ),
% 0.85/1.22 'tc_RealDef_Oreal' ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.22 ],
% 0.85/1.22 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.22 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.85/1.22 'tc_RealDef_Oreal' ) ],
% 0.85/1.22 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.22 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 0.85/1.22 'tc_RealDef_Oreal' ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 0.85/1.22 'tc_RealDef_Oreal' ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.85/1.22 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.22 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.22 ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.85/1.22 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.22 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.22 ) ],
% 0.85/1.22 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 0.85/1.22 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.22 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 0.85/1.22 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.22 ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.22 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.22 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.22 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.85/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.22 ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.22 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.85/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.22 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.22 ) ],
% 0.85/1.22 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.85/1.22 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.22 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.23 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.23 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.23 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.85/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.85/1.23 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.23 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.23 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.23 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.23 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.23 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.85/1.23 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.85/1.23 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.85/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.85/1.23 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.85/1.23 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 0.85/1.23 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 0.85/1.23 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.85/1.23 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.23 Y, T, X ), Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.23 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.23 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.85/1.23 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.23 , Y, X ) ) ],
% 0.85/1.23 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.23 , Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.23 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.85/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.23 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.85/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.23 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.23 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.23 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.23 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.85/1.23 Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.85/1.23 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.85/1.23 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.23 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.85/1.23 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.85/1.23 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.85/1.23 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.85/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.23 T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.85/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.85/1.23 X ), Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.85/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.23 T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.23 X ), T, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.23 T, X ), X ) ) ],
% 0.85/1.23 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.23 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.23 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.23 X ), T, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.23 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.85/1.23 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.85/1.23 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.85/1.23 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.85/1.23 X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.85/1.23 X ) ) ), =( Z, T ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.85/1.23 X ) ) ), =( Z, T ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.85/1.23 X ) ) ), =( Y, T ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.23 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.85/1.23 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.85/1.23 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.23 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.85/1.23 ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.85/1.23 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.85/1.23 Y, Z, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.85/1.23 , X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.23 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.23 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.23 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.23 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.23 ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.85/1.23 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.85/1.23 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.23 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.23 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.85/1.23 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.85/1.23 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.23 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.23 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.85/1.23 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.85/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.23 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.23 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.23 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.23 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.85/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.85/1.23 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.85/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.85/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.85/1.23 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.23 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.23 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.85/1.23 Z, T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.23 , T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.23 , Z, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.23 , T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.23 , Z, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.85/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.85/1.23 ],
% 0.85/1.23 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.85/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.23 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.23 , T, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.23 , Z, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.85/1.23 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.23 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 X ), T, X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.23 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.85/1.23 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.23 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.23 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.23 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y
% 0.85/1.23 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 0.85/1.23 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.23 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.23 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 0.85/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.23 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1'( X, Y ),
% 0.85/1.23 Y, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.85/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ 'c_HOL_Oord__class_Oless'( X,
% 0.85/1.23 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1'( X, Y ),
% 0.85/1.23 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.85/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'( Y ),
% 0.85/1.23 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.85/1.23 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.85/1.23 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.85/1.23 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.85/1.23 ) ],
% 0.85/1.23 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.85/1.23 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.23 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.85/1.23 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.85/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.85/1.23 ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.85/1.23 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.23 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.85/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.23 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.23 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.85/1.23 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.85/1.23 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.23 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.23 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.23 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.23 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.23 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.85/1.23 ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.23 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.23 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.85/1.23 , X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.23 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.85/1.23 , X ) ) ],
% 0.85/1.23 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.85/1.23 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.23 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.23 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.23 , Y, X ) ) ],
% 0.85/1.23 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.85/1.23 , X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.23 , Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.23 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 0.85/1.23 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.85/1.23 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Opoly'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.23 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.23 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.23 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.85/1.23 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.23 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.23 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.23 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.85/1.23 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.23 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.23 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.85/1.23 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.23 ), =( Z, Y ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.23 ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.23 ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.23 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.85/1.23 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.23 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.23 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.85/1.23 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.23 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.23 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.23 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.85/1.23 ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.85/1.23 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.85/1.23 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.85/1.23 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.23 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.23 ],
% 0.85/1.23 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.85/1.23 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.23 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.85/1.23 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.23 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.85/1.23 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.85/1.23 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.85/1.23 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.85/1.23 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.85/1.23 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.85/1.23 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.85/1.23 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.23 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_x'( X ),
% 0.85/1.23 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.23 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.23 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 0.85/1.23 'tc_Complex_Ocomplex' ) ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 0.85/1.23 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.23 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.23 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 0.85/1.23 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 0.85/1.23 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Complex_Ocomplex'
% 0.85/1.23 ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_RealDef_Oreal' )
% 0.85/1.23 ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.85/1.23 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.85/1.23 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.85/1.23 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.85/1.23 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.85/1.23 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.85/1.23 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.85/1.23 ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.85/1.23 ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.85/1.23 ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.85/1.23 ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.85/1.23 ],
% 0.85/1.23 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_RealDef_Oreal' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.85/1.23 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.85/1.23 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.85/1.23 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.85/1.23 ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.85/1.23 ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.85/1.23 ],
% 0.85/1.23 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.85/1.23 ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 0.85/1.23 X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 0.85/1.23 ,
% 0.85/1.23 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.85/1.23 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 0.85/1.23 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 0.85/1.23 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 0.85/1.23 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.85/1.23 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 0.85/1.23 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 0.85/1.23 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 0.85/1.23 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 0.85/1.23 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 0.85/1.23 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 0.85/1.23 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 0.85/1.23 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.85/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 0.85/1.23 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 0.85/1.23 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 0.85/1.23 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 0.85/1.23 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 0.85/1.23 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 0.85/1.23 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 0.85/1.23 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 0.85/1.23 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 0.85/1.23 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 0.85/1.23 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Oidom'( X ) ) ],
% 0.85/1.23 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 0.85/1.23 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 0.85/1.23 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 0.85/1.23 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ]
% 0.85/1.23 ] .
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 percentage equality = 0.113027, percentage horn = 0.819253
% 0.85/1.23 This is a problem with some equality
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23
% 0.85/1.23 Options Used:
% 0.85/1.23
% 0.85/1.23 useres = 1
% 0.85/1.23 useparamod = 1
% 0.85/1.23 useeqrefl = 1
% 0.85/1.23 useeqfact = 1
% 0.85/1.23 usefactor = 1
% 0.85/1.23 usesimpsplitting = 0
% 0.85/1.23 usesimpdemod = 5
% 0.85/1.23 usesimpres = 3
% 0.85/1.23
% 0.85/1.23 resimpinuse = 1000
% 0.85/1.23 resimpclauses = 20000
% 0.85/1.23 substype = eqrewr
% 0.85/1.23 backwardsubs = 1
% 0.85/1.23 selectoldest = 5
% 0.85/1.23
% 0.85/1.23 litorderings [0] = split
% 0.85/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.85/1.23
% 0.85/1.23 termordering = kbo
% 0.85/1.23
% 0.85/1.23 litapriori = 0
% 0.85/1.23 termapriori = 1
% 0.85/1.23 litaposteriori = 0
% 0.85/1.23 termaposteriori = 0
% 0.85/1.23 demodaposteriori = 0
% 0.85/1.23 ordereqreflfact = 0
% 0.85/1.23
% 0.85/1.23 litselect = negord
% 0.85/1.23
% 0.85/1.23 maxweight = 15
% 0.85/1.23 maxdepth = 30000
% 0.85/1.23 maxlength = 115
% 0.85/1.23 maxnrvars = 195
% 0.85/1.23 excuselevel = 1
% 0.85/1.23 increasemaxweight = 1
% 0.85/1.23
% 0.85/1.23 maxselected = 10000000
% 0.85/1.23 maxnrclauses = 10000000
% 0.85/1.23
% 0.85/1.23 showgenerated = 0
% 0.85/1.23 showkept = 0
% 0.85/1.23 showselected = 0
% 0.85/1.23 showdeleted = 0
% 0.85/1.23 showresimp = 1
% 0.85/1.23 showstatus = 2000
% 0.85/1.23
% 0.85/1.23 prologoutput = 1
% 0.85/1.23 nrgoals = 5000000
% 0.85/1.23 totalproof = 1
% 0.85/1.23
% 0.85/1.23 Symbols occurring in the translation:
% 0.85/1.23
% 0.85/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.85/1.23 . [1, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.85/1.23 ! [4, 1] (w:0, o:43, a:1, s:1, b:0),
% 0.85/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.85/1.23 'class_Ring__and__Field_Oordered__field' [40, 1] (w:1, o:50, a:1, s:1
% 0.85/1.23 , b:0),
% 0.85/1.23 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:55, a:1
% 0.85/1.23 , s:1, b:0),
% 0.85/1.23 'c_HOL_Ozero__class_Ozero' [42, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.85/1.23 'c_HOL_Oinverse__class_Odivide' [45, 3] (w:1, o:133, a:1, s:1, b:0),
% 0.85/1.23
% 0.85/1.23 'c_HOL_Oord__class_Oless' [46, 3] (w:1, o:134, a:1, s:1, b:0),
% 0.85/1.23 'class_Ring__and__Field_Oordered__ring__strict' [49, 1] (w:1, o:57
% 0.85/1.23 , a:1, s:1, b:0),
% 0.85/1.23 'c_HOL_Otimes__class_Otimes' [51, 3] (w:1, o:135, a:1, s:1, b:0),
% 0.85/1.23 'class_OrderedGroup_Olordered__ab__group__add' [52, 1] (w:1, o:58, a:
% 0.85/1.23 1, s:1, b:0),
% 0.85/1.23 'c_HOL_Oplus__class_Oplus' [53, 3] (w:1, o:136, a:1, s:1, b:0),
% 0.85/1.23 'class_Ring__and__Field_Oordered__semidom' [54, 1] (w:1, o:59, a:1
% 0.85/1.23 , s:1, b:0),
% 0.85/1.23 'class_Ring__and__Field_Oordered__semiring__strict' [55, 1] (w:1, o:
% 0.85/1.23 60, a:1, s:1, b:0),
% 0.85/1.23 'class_Ring__and__Field_Oordered__idom' [56, 1] (w:1, o:61, a:1, s:1
% 0.85/1.23 , b:0),
% 0.85/1.23 'c_HOL_Osgn__class_Osgn' [57, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.85/1.23 'c_Power_Opower__class_Opower' [59, 3] (w:1, o:137, a:1, s:1, b:0),
% 0.85/1.23 'class_OrderedGroup_Opordered__comm__monoid__add' [60, 1] (w:1, o:62
% 0.85/1.23 , a:1, s:1, b:0),
% 0.85/1.23 'c_lessequals' [61, 3] (w:1, o:138, a:1, s:1, b:0),
% 5.19/5.60 'class_RealVector_Oreal__normed__algebra' [63, 1] (w:1, o:63, a:1, s:
% 5.19/5.60 1, b:0),
% 5.19/5.60 'c_RealVector_Onorm__class_Onorm' [64, 2] (w:1, o:131, a:1, s:1, b:0)
% 5.19/5.60 ,
% 5.19/5.60 'tc_RealDef_Oreal' [67, 0] (w:1, o:32, a:1, s:1, b:0),
% 5.19/5.60 'class_OrderedGroup_Opordered__ab__semigroup__add' [68, 1] (w:1, o:64
% 5.19/5.60 , a:1, s:1, b:0),
% 5.19/5.60 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [69, 1]
% 5.19/5.60 (w:1, o:65, a:1, s:1, b:0),
% 5.19/5.60 'class_OrderedGroup_Opordered__ab__group__add' [71, 1] (w:1, o:66, a:
% 5.19/5.60 1, s:1, b:0),
% 5.19/5.60 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [72, 1]
% 5.19/5.60 (w:1, o:67, a:1, s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Ocomm__semiring__1' [73, 1] (w:1, o:53, a:1
% 5.19/5.60 , s:1, b:0),
% 5.19/5.60 'class_OrderedGroup_Ocomm__monoid__add' [74, 1] (w:1, o:68, a:1, s:1
% 5.19/5.60 , b:0),
% 5.19/5.60 'class_Ring__and__Field_Oidom' [75, 1] (w:1, o:69, a:1, s:1, b:0),
% 5.19/5.60 'class_Int_Onumber__ring' [76, 1] (w:1, o:70, a:1, s:1, b:0),
% 5.19/5.60 'class_OrderedGroup_Omonoid__add' [77, 1] (w:1, o:71, a:1, s:1, b:0)
% 5.19/5.60 ,
% 5.19/5.60 'class_RealVector_Oreal__normed__vector' [78, 1] (w:1, o:72, a:1, s:1
% 5.19/5.60 , b:0),
% 5.19/5.60 'class_RealVector_Oreal__normed__field' [79, 1] (w:1, o:73, a:1, s:1
% 5.19/5.60 , b:0),
% 5.19/5.60 'class_Ring__and__Field_Ofield' [80, 1] (w:1, o:74, a:1, s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Oordered__comm__semiring__strict' [81, 1] (w:
% 5.19/5.60 1, o:75, a:1, s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Opordered__cancel__semiring' [82, 1] (w:1, o:
% 5.19/5.60 77, a:1, s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Opordered__semiring' [83, 1] (w:1, o:79, a:1
% 5.19/5.60 , s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Opordered__ring' [84, 1] (w:1, o:78, a:1, s:1
% 5.19/5.60 , b:0),
% 5.19/5.60 'class_Ring__and__Field_Omult__mono' [85, 1] (w:1, o:80, a:1, s:1, b:
% 5.19/5.60 0),
% 5.19/5.60 'class_Ring__and__Field_Omult__mono1' [86, 1] (w:1, o:81, a:1, s:1
% 5.19/5.60 , b:0),
% 5.19/5.60 'c_RealDef_Oreal__of__preal' [87, 1] (w:1, o:82, a:1, s:1, b:0),
% 5.19/5.60 'c_Transcendental_Oln' [90, 1] (w:1, o:83, a:1, s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Ono__zero__divisors' [92, 1] (w:1, o:49, a:1
% 5.19/5.60 , s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Oring__no__zero__divisors' [93, 1] (w:1, o:84
% 5.19/5.60 , a:1, s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Ozero__neq__one' [94, 1] (w:1, o:85, a:1, s:1
% 5.19/5.60 , b:0),
% 5.19/5.60 'class_Ring__and__Field_Omult__zero' [95, 1] (w:1, o:48, a:1, s:1, b:
% 5.19/5.60 0),
% 5.19/5.60 'class_Power_Opower' [96, 1] (w:1, o:98, a:1, s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Oring__1__no__zero__divisors' [97, 1] (w:1
% 5.19/5.60 , o:99, a:1, s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Osgn__if' [98, 1] (w:1, o:100, a:1, s:1, b:0)
% 5.19/5.60 ,
% 5.19/5.60 'class_Ring__and__Field_Osemiring' [100, 1] (w:1, o:101, a:1, s:1, b:
% 5.19/5.60 0),
% 5.19/5.60 'class_OrderedGroup_Oab__semigroup__add' [102, 1] (w:1, o:86, a:1, s:
% 5.19/5.60 1, b:0),
% 5.19/5.60 'class_OrderedGroup_Oab__group__add' [103, 1] (w:1, o:87, a:1, s:1
% 5.19/5.60 , b:0),
% 5.19/5.60 'class_OrderedGroup_Oab__semigroup__idem__mult' [108, 1] (w:1, o:88
% 5.19/5.60 , a:1, s:1, b:0),
% 5.19/5.60 'class_OrderedGroup_Ocomm__monoid__mult' [110, 1] (w:1, o:89, a:1, s:
% 5.19/5.60 1, b:0),
% 5.19/5.60 'class_OrderedGroup_Oab__semigroup__mult' [111, 1] (w:1, o:90, a:1
% 5.19/5.60 , s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Ocomm__semiring' [117, 1] (w:1, o:54, a:1, s:
% 5.19/5.60 1, b:0),
% 5.19/5.60 'class_OrderedGroup_Ocancel__ab__semigroup__add' [118, 1] (w:1, o:91
% 5.19/5.60 , a:1, s:1, b:0),
% 5.19/5.60 'class_OrderedGroup_Ocancel__semigroup__add' [119, 1] (w:1, o:92, a:1
% 5.19/5.60 , s:1, b:0),
% 5.19/5.60 'class_RealVector_Oreal__normed__div__algebra' [121, 1] (w:1, o:102
% 5.19/5.60 , a:1, s:1, b:0),
% 5.19/5.60 'class_OrderedGroup_Omonoid__mult' [122, 1] (w:1, o:93, a:1, s:1, b:0
% 5.19/5.60 ),
% 5.19/5.60 'class_Ring__and__Field_Oordered__semiring' [123, 1] (w:1, o:76, a:1
% 5.19/5.60 , s:1, b:0),
% 5.19/5.60 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1' [124, 2
% 5.19/5.60 ] (w:1, o:132, a:1, s:1, b:0),
% 5.19/5.60 'class_Orderings_Oorder' [125, 1] (w:1, o:94, a:1, s:1, b:0),
% 5.19/5.60 'class_Orderings_Olinorder' [126, 1] (w:1, o:95, a:1, s:1, b:0),
% 5.19/5.60 'class_Orderings_Opreorder' [127, 1] (w:1, o:96, a:1, s:1, b:0),
% 5.19/5.60 'class_Ring__and__Field_Ocomm__semiring__0' [131, 1] (w:1, o:52, a:1
% 5.19/5.60 , s:1, b:0),
% 29.34/29.74 'tc_Polynomial_Opoly' [132, 1] (w:1, o:103, a:1, s:1, b:0),
% 29.34/29.74 'c_Polynomial_Opoly' [133, 3] (w:1, o:139, a:1, s:1, b:0),
% 29.34/29.74 'v_x' [134, 1] (w:1, o:104, a:1, s:1, b:0),
% 29.34/29.74 'tc_Complex_Ocomplex' [135, 0] (w:1, o:40, a:1, s:1, b:0),
% 29.34/29.74 'v_r' [136, 0] (w:1, o:41, a:1, s:1, b:0),
% 29.34/29.74 'class_OrderedGroup_Ocancel__comm__monoid__add' [138, 1] (w:1, o:97
% 29.34/29.74 , a:1, s:1, b:0),
% 29.34/29.74 'class_Ring__and__Field_Ocomm__ring__1' [139, 1] (w:1, o:51, a:1, s:1
% 29.34/29.74 , b:0).
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Starting Search:
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 4739
% 29.34/29.74 Kept: 2073
% 29.34/29.74 Inuse: 189
% 29.34/29.74 Deleted: 2
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 13659
% 29.34/29.74 Kept: 4442
% 29.34/29.74 Inuse: 302
% 29.34/29.74 Deleted: 4
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 20370
% 29.34/29.74 Kept: 6444
% 29.34/29.74 Inuse: 406
% 29.34/29.74 Deleted: 4
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 28095
% 29.34/29.74 Kept: 8574
% 29.34/29.74 Inuse: 454
% 29.34/29.74 Deleted: 7
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 36007
% 29.34/29.74 Kept: 10671
% 29.34/29.74 Inuse: 513
% 29.34/29.74 Deleted: 8
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 44705
% 29.34/29.74 Kept: 13590
% 29.34/29.74 Inuse: 573
% 29.34/29.74 Deleted: 8
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 51005
% 29.34/29.74 Kept: 16302
% 29.34/29.74 Inuse: 603
% 29.34/29.74 Deleted: 8
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 59625
% 29.34/29.74 Kept: 18456
% 29.34/29.74 Inuse: 658
% 29.34/29.74 Deleted: 8
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying clauses:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 67613
% 29.34/29.74 Kept: 20499
% 29.34/29.74 Inuse: 698
% 29.34/29.74 Deleted: 695
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 71685
% 29.34/29.74 Kept: 22500
% 29.34/29.74 Inuse: 713
% 29.34/29.74 Deleted: 695
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 84389
% 29.34/29.74 Kept: 24559
% 29.34/29.74 Inuse: 793
% 29.34/29.74 Deleted: 695
% 29.34/29.74 Deletedinuse: 0
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 94835
% 29.34/29.74 Kept: 26708
% 29.34/29.74 Inuse: 863
% 29.34/29.74 Deleted: 697
% 29.34/29.74 Deletedinuse: 2
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 112465
% 29.34/29.74 Kept: 29430
% 29.34/29.74 Inuse: 906
% 29.34/29.74 Deleted: 699
% 29.34/29.74 Deletedinuse: 2
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 128303
% 29.34/29.74 Kept: 32224
% 29.34/29.74 Inuse: 961
% 29.34/29.74 Deleted: 699
% 29.34/29.74 Deletedinuse: 2
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 136798
% 29.34/29.74 Kept: 34548
% 29.34/29.74 Inuse: 981
% 29.34/29.74 Deleted: 699
% 29.34/29.74 Deletedinuse: 2
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 154224
% 29.34/29.74 Kept: 36609
% 29.34/29.74 Inuse: 1016
% 29.34/29.74 Deleted: 699
% 29.34/29.74 Deletedinuse: 2
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 164683
% 29.34/29.74 Kept: 38895
% 29.34/29.74 Inuse: 1046
% 29.34/29.74 Deleted: 699
% 29.34/29.74 Deletedinuse: 2
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying clauses:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 173628
% 29.34/29.74 Kept: 40899
% 29.34/29.74 Inuse: 1060
% 29.34/29.74 Deleted: 2039
% 29.34/29.74 Deletedinuse: 2
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 199082
% 29.34/29.74 Kept: 44261
% 29.34/29.74 Inuse: 1066
% 29.34/29.74 Deleted: 2039
% 29.34/29.74 Deletedinuse: 2
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 212001
% 29.34/29.74 Kept: 46939
% 29.34/29.74 Inuse: 1076
% 29.34/29.74 Deleted: 2039
% 29.34/29.74 Deletedinuse: 2
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 229223
% 29.34/29.74 Kept: 48954
% 29.34/29.74 Inuse: 1152
% 29.34/29.74 Deleted: 2040
% 29.34/29.74 Deletedinuse: 3
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 247069
% 29.34/29.74 Kept: 51410
% 29.34/29.74 Inuse: 1201
% 29.34/29.74 Deleted: 2040
% 29.34/29.74 Deletedinuse: 3
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 259132
% 29.34/29.74 Kept: 54338
% 29.34/29.74 Inuse: 1202
% 29.34/29.74 Deleted: 2041
% 29.34/29.74 Deletedinuse: 4
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 278579
% 29.34/29.74 Kept: 56351
% 29.34/29.74 Inuse: 1221
% 29.34/29.74 Deleted: 2282
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 290026
% 29.34/29.74 Kept: 58445
% 29.34/29.74 Inuse: 1231
% 29.34/29.74 Deleted: 2282
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 299945
% 29.34/29.74 Kept: 60542
% 29.34/29.74 Inuse: 1291
% 29.34/29.74 Deleted: 2282
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying clauses:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 326298
% 29.34/29.74 Kept: 62608
% 29.34/29.74 Inuse: 1320
% 29.34/29.74 Deleted: 7399
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 345805
% 29.34/29.74 Kept: 64874
% 29.34/29.74 Inuse: 1330
% 29.34/29.74 Deleted: 7399
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 382434
% 29.34/29.74 Kept: 68881
% 29.34/29.74 Inuse: 1360
% 29.34/29.74 Deleted: 7399
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 401718
% 29.34/29.74 Kept: 71097
% 29.34/29.74 Inuse: 1365
% 29.34/29.74 Deleted: 7399
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 433371
% 29.34/29.74 Kept: 73661
% 29.34/29.74 Inuse: 1380
% 29.34/29.74 Deleted: 7399
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 459586
% 29.34/29.74 Kept: 75796
% 29.34/29.74 Inuse: 1400
% 29.34/29.74 Deleted: 7399
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 470497
% 29.34/29.74 Kept: 77988
% 29.34/29.74 Inuse: 1425
% 29.34/29.74 Deleted: 7399
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 479345
% 29.34/29.74 Kept: 80293
% 29.34/29.74 Inuse: 1455
% 29.34/29.74 Deleted: 7399
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying clauses:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 490297
% 29.34/29.74 Kept: 82348
% 29.34/29.74 Inuse: 1475
% 29.34/29.74 Deleted: 7747
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 499131
% 29.34/29.74 Kept: 84501
% 29.34/29.74 Inuse: 1500
% 29.34/29.74 Deleted: 7747
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 509783
% 29.34/29.74 Kept: 86738
% 29.34/29.74 Inuse: 1525
% 29.34/29.74 Deleted: 7747
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 522107
% 29.34/29.74 Kept: 88827
% 29.34/29.74 Inuse: 1555
% 29.34/29.74 Deleted: 7747
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 541606
% 29.34/29.74 Kept: 91763
% 29.34/29.74 Inuse: 1585
% 29.34/29.74 Deleted: 7747
% 29.34/29.74 Deletedinuse: 245
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 554770
% 29.34/29.74 Kept: 93980
% 29.34/29.74 Inuse: 1625
% 29.34/29.74 Deleted: 7748
% 29.34/29.74 Deletedinuse: 246
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 565224
% 29.34/29.74 Kept: 96099
% 29.34/29.74 Inuse: 1655
% 29.34/29.74 Deleted: 7750
% 29.34/29.74 Deletedinuse: 248
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 581256
% 29.34/29.74 Kept: 99190
% 29.34/29.74 Inuse: 1670
% 29.34/29.74 Deleted: 7750
% 29.34/29.74 Deletedinuse: 248
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Intermediate Status:
% 29.34/29.74 Generated: 594732
% 29.34/29.74 Kept: 101986
% 29.34/29.74 Inuse: 1675
% 29.34/29.74 Deleted: 7750
% 29.34/29.74 Deletedinuse: 248
% 29.34/29.74
% 29.34/29.74 Resimplifying inuse:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74 Resimplifying clauses:
% 29.34/29.74 Done
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 Bliksems!, er is een bewijs:
% 29.34/29.74 % SZS status Unsatisfiable
% 29.34/29.74 % SZS output start Refutation
% 29.34/29.74
% 29.34/29.74 clause( 226, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 318, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.34/29.74 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 323, [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'(
% 29.34/29.74 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 29.34/29.74 ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 340, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 345, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 352, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 29.34/29.74 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.34/29.74 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 373, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.34/29.74 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.34/29.74 'tc_Complex_Ocomplex' ) ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 29.34/29.74 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.34/29.74 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 437, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 29.34/29.74 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 440, [ 'class_RealVector_Oreal__normed__vector'(
% 29.34/29.74 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 87233, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 29.34/29.74 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 96117, [ =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 29.34/29.74 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_Complex_Ocomplex' ) ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 102001, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 .
% 29.34/29.74 clause( 102006, [] )
% 29.34/29.74 .
% 29.34/29.74
% 29.34/29.74
% 29.34/29.74 % SZS output end Refutation
% 29.34/29.74 found a proof!
% 29.34/29.74
% 29.34/29.74 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 29.34/29.74
% 29.34/29.74 initialclauses(
% 29.34/29.74 [ clause( 102008, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102009, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102010, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102011, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102012, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102013, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102014, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 29.34/29.74 , clause( 102015, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 29.34/29.74 , X ) ) ] )
% 29.34/29.74 , clause( 102016, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 29.34/29.74 , clause( 102017, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 29.34/29.74 , X ) ) ] )
% 29.34/29.74 , clause( 102018, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102019, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 29.34/29.74 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102020, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102021, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102022, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102023, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102024, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 29.34/29.74 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102025, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102026, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102027, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102028, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 29.34/29.74 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 29.34/29.74 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102029, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 29.34/29.74 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 29.34/29.74 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102030, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102031, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102032, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102033, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102034, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102035, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102036, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102037, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102038, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 29.34/29.74 , clause( 102039, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102040, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102041, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102042, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102043, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102044, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102045, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102046, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102047, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 29.34/29.74 , T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102048, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 29.34/29.74 , T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102049, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102050, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102051, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 29.34/29.74 )
% 29.34/29.74 , clause( 102052, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102053, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 29.34/29.74 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102054, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 29.34/29.74 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102055, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102056, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 29.34/29.74 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102057, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 29.34/29.74 , clause( 102058, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 29.34/29.74 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102059, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102060, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 29.34/29.74 , clause( 102061, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102062, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 29.34/29.74 , clause( 102063, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102064, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102065, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 29.34/29.74 , clause( 102066, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 29.34/29.74 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102067, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 29.34/29.74 , clause( 102068, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 29.34/29.74 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 29.34/29.74 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102069, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 29.34/29.74 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 29.34/29.74 'tc_RealDef_Oreal' ) ] )
% 29.34/29.74 , clause( 102070, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 29.34/29.74 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 29.34/29.74 , clause( 102071, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 29.34/29.74 , clause( 102072, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 29.34/29.74 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102073, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 29.34/29.74 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102074, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 29.34/29.74 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102075, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102076, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 29.34/29.74 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102077, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102078, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 29.34/29.74 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 29.34/29.74 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102079, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 29.34/29.74 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 29.34/29.74 , clause( 102080, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 29.34/29.74 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102081, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 29.34/29.74 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102082, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102083, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 29.34/29.74 X ), X ) ) ] )
% 29.34/29.74 , clause( 102084, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Z, T, X ) ) ] )
% 29.34/29.74 , clause( 102085, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Z, T, X ) ) ] )
% 29.34/29.74 , clause( 102086, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 29.34/29.74 X ), X ) ) ] )
% 29.34/29.74 , clause( 102087, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102088, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102089, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102090, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102091, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 X ), X ) ) ] )
% 29.34/29.74 , clause( 102092, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 X ), X ) ) ] )
% 29.34/29.74 , clause( 102093, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 29.34/29.74 , clause( 102094, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 29.34/29.74 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 29.34/29.74 , clause( 102095, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102096, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102097, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 29.34/29.74 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102098, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 29.34/29.74 X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102099, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 29.34/29.74 Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102100, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 29.34/29.74 Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102101, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 29.34/29.74 X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102102, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 29.34/29.74 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102103, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 29.34/29.74 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 X ), T, X ) ) ] )
% 29.34/29.74 , clause( 102104, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 29.34/29.74 , clause( 102105, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 29.34/29.74 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102106, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 29.34/29.74 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102107, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 29.34/29.74 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Y, T, X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102108, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 29.34/29.74 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Y, T, X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102109, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 29.34/29.74 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 29.34/29.74 , Y, X ) ) ] )
% 29.34/29.74 , clause( 102110, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 29.34/29.74 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 29.34/29.74 , Z, X ) ] )
% 29.34/29.74 , clause( 102111, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 29.34/29.74 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 29.34/29.74 , Z, X ) ] )
% 29.34/29.74 , clause( 102112, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102113, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 29.34/29.74 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102114, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 29.34/29.74 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 29.34/29.74 , T, X ) ] )
% 29.34/29.74 , clause( 102115, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 29.34/29.74 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 29.34/29.74 , T, X ) ] )
% 29.34/29.74 , clause( 102116, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 29.34/29.74 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 29.34/29.74 Z, X ) ) ] )
% 29.34/29.74 , clause( 102117, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 29.34/29.74 , clause( 102118, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 29.34/29.74 , clause( 102119, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102120, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102121, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102122, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102123, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 29.34/29.74 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102124, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102125, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102126, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102127, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 29.34/29.74 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 29.34/29.74 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102128, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 29.34/29.74 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 29.34/29.74 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102129, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102130, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102131, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102132, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102133, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 29.34/29.74 )
% 29.34/29.74 , clause( 102134, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 29.34/29.74 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 29.34/29.74 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102135, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102136, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102137, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102138, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102139, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102140, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102141, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102142, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102143, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102144, [ ~(
% 29.34/29.74 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 29.34/29.74 , clause( 102145, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102146, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102147, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102148, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 29.34/29.74 , clause( 102149, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102150, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102151, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 29.34/29.74 , clause( 102152, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 29.34/29.74 , clause( 102153, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102154, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 X ), T, X ) ) ] )
% 29.34/29.74 , clause( 102155, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102156, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102157, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102158, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102159, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102160, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 29.34/29.74 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 29.34/29.74 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102161, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 29.34/29.74 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 29.34/29.74 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102162, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102163, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102164, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102165, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102166, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102167, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102168, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102169, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102170, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102171, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 29.34/29.74 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102172, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 29.34/29.74 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102173, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 29.34/29.74 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102174, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 29.34/29.74 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102175, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 29.34/29.74 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102176, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102177, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102178, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 29.34/29.74 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 29.34/29.74 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102179, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 29.34/29.74 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 29.34/29.74 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102180, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102181, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102182, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 29.34/29.74 , clause( 102183, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102184, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 29.34/29.74 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102185, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102186, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102187, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 29.34/29.74 , clause( 102188, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102189, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102190, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102191, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 29.34/29.74 )
% 29.34/29.74 , clause( 102192, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102193, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 29.34/29.74 )
% 29.34/29.74 , clause( 102194, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 29.34/29.74 )
% 29.34/29.74 , clause( 102195, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102196, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102197, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102198, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 29.34/29.74 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102199, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102200, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102201, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102202, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102203, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102204, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 29.34/29.74 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102205, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 29.34/29.74 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102206, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 29.34/29.74 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 29.34/29.74 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 29.34/29.74 , clause( 102207, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 29.34/29.74 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 29.34/29.74 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102208, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 29.34/29.74 )
% 29.34/29.74 , clause( 102209, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102210, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102211, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102212, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102213, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 29.34/29.74 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102214, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ), X ) ) ] )
% 29.34/29.74 , clause( 102215, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102216, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102217, [ 'c_HOL_Oord__class_Oless'( X,
% 29.34/29.74 'c_RealDef_Oreal__of__preal'( Y ), 'tc_RealDef_Oreal' ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.34/29.74 ), X, 'tc_RealDef_Oreal' ) ] )
% 29.34/29.74 , clause( 102218, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 29.34/29.74 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 29.34/29.74 , clause( 102219, [ ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.34/29.74 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102220, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 29.34/29.74 'tc_RealDef_Oreal' ) ] )
% 29.34/29.74 , clause( 102221, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal__of__preal'( X ),
% 29.34/29.74 'tc_RealDef_Oreal' ) ] )
% 29.34/29.74 , clause( 102222, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X )
% 29.34/29.74 , 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.34/29.74 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102223, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 29.34/29.74 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 29.34/29.74 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.34/29.74 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102224, [ ~( =( 'c_Transcendental_Oln'( X ),
% 29.34/29.74 'c_Transcendental_Oln'( Y ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ] )
% 29.34/29.74 , clause( 102225, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X )
% 29.34/29.74 , X, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102226, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102227, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102228, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102229, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 29.34/29.74 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.34/29.74 ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102230, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 29.34/29.74 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 29.34/29.74 )
% 29.34/29.74 , clause( 102231, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102232, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 29.34/29.74 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 29.34/29.74 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102233, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 29.34/29.74 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 29.34/29.74 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102234, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102235, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 29.34/29.74 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102236, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 29.34/29.74 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102237, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 29.34/29.74 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102238, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 29.34/29.74 X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102239, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 29.34/29.74 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102240, [ ~(
% 29.34/29.74 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( =(
% 29.34/29.74 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102241, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 29.34/29.74 )
% 29.34/29.74 , clause( 102242, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102243, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102244, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102245, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102246, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102247, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102248, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 29.34/29.74 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102249, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102250, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102251, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 29.34/29.74 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102252, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 29.34/29.74 X ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102253, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102254, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102255, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102256, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102257, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 29.34/29.74 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 29.34/29.74 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102258, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 29.34/29.74 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 29.34/29.74 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102259, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 29.34/29.74 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Y, T, X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102260, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102261, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102262, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 29.34/29.74 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 29.34/29.74 , clause( 102263, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 29.34/29.74 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 29.34/29.74 , X ) ) ] )
% 29.34/29.74 , clause( 102264, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 29.34/29.74 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 29.34/29.74 , X ) ) ] )
% 29.34/29.74 , clause( 102265, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 29.34/29.74 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 29.34/29.74 , X ) ) ] )
% 29.34/29.74 , clause( 102266, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 29.34/29.74 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 29.34/29.74 , X ) ) ] )
% 29.34/29.74 , clause( 102267, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 29.34/29.74 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102268, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 29.34/29.74 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102269, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 29.34/29.74 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 29.34/29.74 , X ) ) ] )
% 29.34/29.74 , clause( 102270, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 29.34/29.74 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102271, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 29.34/29.74 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102272, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Z, Y, X ) ) ] )
% 29.34/29.74 , clause( 102273, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X,
% 29.34/29.74 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102274, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Z, Y, X ) ) ] )
% 29.34/29.74 , clause( 102275, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 29.34/29.74 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 29.34/29.74 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102276, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 29.34/29.74 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 29.34/29.74 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102277, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 29.34/29.74 , clause( 102278, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 29.34/29.74 , clause( 102279, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 29.34/29.74 , clause( 102280, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102281, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102282, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 29.34/29.74 , clause( 102283, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102284, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 29.34/29.74 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 29.34/29.74 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 29.34/29.74 Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102285, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 29.34/29.74 , clause( 102286, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 29.34/29.74 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 29.34/29.74 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 29.34/29.74 , clause( 102287, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 29.34/29.74 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102288, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 29.34/29.74 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102289, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 29.34/29.74 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102290, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 29.34/29.74 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 29.34/29.74 , clause( 102291, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 29.34/29.74 ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 29.34/29.74 Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102292, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 29.34/29.74 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 29.34/29.74 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102293, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102294, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 29.34/29.74 T, X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102295, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102296, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 29.34/29.74 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 29.34/29.74 , X ), T, X ) ) ] )
% 29.34/29.74 , clause( 102297, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 29.34/29.74 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 29.34/29.74 , T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102298, [ =( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 29.34/29.74 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102299, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 29.34/29.74 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 29.34/29.74 , X ), T, X ) ) ] )
% 29.34/29.74 , clause( 102300, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 29.34/29.74 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 29.34/29.74 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102301, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 29.34/29.74 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 29.34/29.74 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102302, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 29.34/29.74 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 29.34/29.74 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102303, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 29.34/29.74 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 29.34/29.74 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102304, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 29.34/29.74 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 29.34/29.74 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102305, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 29.34/29.74 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 29.34/29.74 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102306, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 29.34/29.74 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102307, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102308, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 29.34/29.74 , clause( 102309, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 29.34/29.74 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102310, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 29.34/29.74 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102311, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 29.34/29.74 X ), X ) ) ] )
% 29.34/29.74 , clause( 102312, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 29.34/29.74 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 29.34/29.74 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 29.34/29.74 , clause( 102313, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 29.34/29.74 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 29.34/29.74 , clause( 102314, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 29.34/29.74 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 Y, T, X ) ) ), =( Z, T ) ] )
% 29.34/29.74 , clause( 102315, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 29.34/29.74 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 T, Z, X ) ) ), =( Y, T ) ] )
% 29.34/29.74 , clause( 102316, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 29.34/29.74 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 29.34/29.74 , clause( 102317, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 29.34/29.74 Y, X ) ) ] )
% 29.34/29.74 , clause( 102318, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 29.34/29.74 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 29.34/29.74 Y, X ) ) ] )
% 29.34/29.74 , clause( 102319, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 29.34/29.74 X ) ) ] )
% 29.34/29.74 , clause( 102320, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 29.34/29.74 ), =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y
% 29.34/29.74 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 29.34/29.74 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102321, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 29.34/29.74 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 29.34/29.74 Y, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102322, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 29.34/29.74 , X ) ) ] )
% 29.34/29.74 , clause( 102323, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 29.34/29.74 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 29.34/29.74 =( Y, T ) ] )
% 29.34/29.74 , clause( 102324, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 29.34/29.74 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 29.34/29.74 =( Y, T ) ] )
% 29.34/29.74 , clause( 102325, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102326, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 29.34/29.74 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102327, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 29.34/29.74 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102328, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 29.34/29.74 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 29.34/29.74 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 29.34/29.74 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 29.34/29.74 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102329, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102330, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 29.34/29.74 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 29.34/29.74 , clause( 102331, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 29.34/29.74 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 29.34/29.74 , clause( 102332, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 29.34/29.74 ), =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102333, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 29.34/29.74 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102334, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.74 , clause( 102335, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102336, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 29.34/29.74 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102337, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102338, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 29.34/29.74 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 29.34/29.74 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102339, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102340, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102341, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102342, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102343, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 29.34/29.74 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102344, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 29.34/29.74 Z, T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102345, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 29.34/29.74 , T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102346, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102347, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 29.34/29.74 , T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102348, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102349, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102350, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 29.34/29.74 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102351, [ ~(
% 29.34/29.74 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 29.34/29.74 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 29.34/29.74 , clause( 102352, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 29.34/29.74 , T, X ), X ) ) ] )
% 29.34/29.74 , clause( 102353, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.74 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102354, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 29.34/29.74 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102355, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 X ), T, X ) ) ] )
% 29.34/29.74 , clause( 102356, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 29.34/29.74 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 29.34/29.74 ) ) ] )
% 29.34/29.74 , clause( 102357, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 29.34/29.74 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 29.34/29.74 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 29.34/29.74 , clause( 102358, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 29.34/29.74 , clause( 102359, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 29.34/29.74 , clause( 102360, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 29.34/29.74 , clause( 102361, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 29.34/29.74 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 29.34/29.74 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 29.34/29.74 , clause( 102362, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.34/29.74 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102363, [ 'c_lessequals'( 'c_Transcendental_Oln'( X ),
% 29.34/29.74 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 29.34/29.74 Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102364, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 29.34/29.74 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y )
% 29.34/29.74 , 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 29.34/29.74 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102365, [ 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1'( X, Y ),
% 29.34/29.74 Y, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102366, [ 'c_HOL_Oord__class_Oless'( X,
% 29.34/29.74 'c_RComplete_Osko__RComplete__XRats__dense__in__nn__real__1__1'( X, Y ),
% 29.34/29.74 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102367, [ 'c_HOL_Oord__class_Oless'( X,
% 29.34/29.74 'c_RealDef_Oreal__of__preal'( Y ), 'tc_RealDef_Oreal' ), ~(
% 29.34/29.74 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.34/29.74 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102368, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 29.34/29.74 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102369, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 29.34/29.74 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102370, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 29.34/29.74 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z,
% 29.34/29.74 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102371, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 29.34/29.74 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' )
% 29.34/29.74 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 29.34/29.74 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 29.34/29.74 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 29.34/29.74 ) ] )
% 29.34/29.74 , clause( 102372, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.34/29.74 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 29.34/29.74 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 29.34/29.74 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 29.34/29.74 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.74 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102373, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 Y, X ) ) ] )
% 29.34/29.74 , clause( 102374, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 Y, X ) ) ] )
% 29.34/29.74 , clause( 102375, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 29.34/29.74 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 29.34/29.74 , clause( 102376, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.34/29.74 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 29.34/29.74 , clause( 102377, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 Y, X ) ) ] )
% 29.34/29.74 , clause( 102378, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 29.34/29.74 Y, X ) ) ] )
% 29.34/29.74 , clause( 102379, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 29.34/29.74 )
% 29.34/29.74 , clause( 102380, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 29.34/29.74 , clause( 102381, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 29.34/29.74 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 29.34/29.74 , clause( 102382, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 29.34/29.74 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 29.34/29.74 ] )
% 29.34/29.74 , clause( 102383, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102384, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 29.34/29.74 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 29.34/29.74 , clause( 102385, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 29.34/29.74 , clause( 102386, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 29.34/29.74 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 29.34/29.74 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102387, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 Y, X ) ] )
% 29.34/29.74 , clause( 102388, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 29.34/29.74 Y, Y, X ) ] )
% 29.34/29.74 , clause( 102389, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 29.34/29.74 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 29.34/29.74 , clause( 102390, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 29.34/29.74 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.74 , clause( 102391, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 29.34/29.74 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 29.34/29.74 , clause( 102392, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 29.34/29.74 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 29.34/29.74 'c_lessequals'( Y, Z, X ) ) ] )
% 29.34/29.74 , clause( 102393, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 29.34/29.75 , clause( 102394, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal'
% 29.34/29.75 ) ) ] )
% 29.34/29.75 , clause( 102395, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 29.34/29.75 , clause( 102396, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 29.34/29.75 , clause( 102397, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.34/29.75 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.34/29.75 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.75 , clause( 102398, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 29.34/29.75 =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102399, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 29.34/29.75 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.34/29.75 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.75 , clause( 102400, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 29.34/29.75 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.34/29.75 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102401, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 29.34/29.75 , X ) ) ] )
% 29.34/29.75 , clause( 102402, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 29.34/29.75 Z, Y ) ] )
% 29.34/29.75 , clause( 102403, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.34/29.75 , clause( 102404, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 29.34/29.75 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 29.34/29.75 , clause( 102405, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 29.34/29.75 Y, Z ) ] )
% 29.34/29.75 , clause( 102406, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 29.34/29.75 , X ) ) ] )
% 29.34/29.75 , clause( 102407, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 29.34/29.75 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.75 , clause( 102408, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.34/29.75 , clause( 102409, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 29.34/29.75 , X ) ) ] )
% 29.34/29.75 , clause( 102410, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.34/29.75 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 29.34/29.75 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.75 , clause( 102411, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 29.34/29.75 ), =( Z, Y ) ] )
% 29.34/29.75 , clause( 102412, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 29.34/29.75 ) ] )
% 29.34/29.75 , clause( 102413, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 29.34/29.75 ) ] )
% 29.34/29.75 , clause( 102414, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 29.34/29.75 , clause( 102415, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 29.34/29.75 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 29.34/29.75 , clause( 102416, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 29.34/29.75 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.34/29.75 , clause( 102417, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 29.34/29.75 ), =( Z, Y ) ] )
% 29.34/29.75 , clause( 102418, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 29.34/29.75 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 29.34/29.75 , clause( 102419, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal'
% 29.34/29.75 ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.75 , clause( 102420, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 29.34/29.75 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.34/29.75 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 29.34/29.75 ), 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.75 , clause( 102421, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 29.34/29.75 =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.34/29.75 , clause( 102422, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 29.34/29.75 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.34/29.75 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.75 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102423, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.34/29.75 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 29.34/29.75 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 29.34/29.75 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.75 , clause( 102424, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 29.34/29.75 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 29.34/29.75 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 29.34/29.75 ] )
% 29.34/29.75 , clause( 102425, [ ~( 'class_Orderings_Oorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 29.34/29.75 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 29.34/29.75 , clause( 102426, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 29.34/29.75 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 29.34/29.75 , clause( 102427, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 29.34/29.75 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102428, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 29.34/29.75 , clause( 102429, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.34/29.75 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102430, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 29.34/29.75 , clause( 102431, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102432, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 29.34/29.75 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 29.34/29.75 , clause( 102433, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 29.34/29.75 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 29.34/29.75 , clause( 102434, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 29.34/29.75 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102435, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.34/29.75 'v_x'( X ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ), ~(
% 29.34/29.75 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.34/29.75 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.75 , clause( 102436, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.34/29.75 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 29.34/29.75 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.34/29.75 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.34/29.75 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.34/29.75 , clause( 102437, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 29.34/29.75 , clause( 102438, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Ocomm__ring__1'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102439, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102440, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102441, [ 'class_OrderedGroup_Ocancel__comm__monoid__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102442, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102443, [
% 29.34/29.75 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102444, [
% 29.34/29.75 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102445, [
% 29.34/29.75 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102446, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102447, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102448, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102449, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102450, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102451, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102452, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102453, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102454, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102455, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102456, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102457, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102458, [ 'class_Ring__and__Field_Opordered__semiring'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102459, [ 'class_Ring__and__Field_Oordered__semiring'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102460, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102461, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102462, [ 'class_Ring__and__Field_Oordered__semidom'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102463, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102464, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102465, [ 'class_RealVector_Oreal__normed__algebra'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102466, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102467, [ 'class_RealVector_Oreal__normed__vector'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102468, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102469, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102470, [ 'class_Ring__and__Field_Opordered__ring'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102471, [ 'class_Ring__and__Field_Oordered__field'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102472, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102473, [ 'class_RealVector_Oreal__normed__field'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102474, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102475, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102476, [ 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102477, [ 'class_Ring__and__Field_Omult__mono1'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102478, [ 'class_OrderedGroup_Oab__group__add'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102479, [ 'class_Ring__and__Field_Omult__zero'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102480, [ 'class_Ring__and__Field_Omult__mono'(
% 29.34/29.75 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102481, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal'
% 29.34/29.75 ) ] )
% 29.34/29.75 , clause( 102482, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal'
% 29.34/29.75 ) ] )
% 29.34/29.75 , clause( 102483, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 29.34/29.75 ] )
% 29.34/29.75 , clause( 102484, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' )
% 29.34/29.75 ] )
% 29.34/29.75 , clause( 102485, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102486, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102487, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102488, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102489, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102490, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102491, [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ] )
% 29.34/29.75 , clause( 102492, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102493, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102494, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102495, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102496, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102497, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102498, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102499, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102500, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102501, [ 'class_RealVector_Oreal__normed__algebra'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102502, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102503, [ 'class_RealVector_Oreal__normed__vector'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102504, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102505, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102506, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102507, [ 'class_RealVector_Oreal__normed__field'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102508, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102509, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102510, [ 'class_OrderedGroup_Oab__group__add'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102511, [ 'class_Ring__and__Field_Omult__zero'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102512, [ 'class_OrderedGroup_Omonoid__mult'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102513, [ 'class_Ring__and__Field_Osemiring'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102514, [ 'class_OrderedGroup_Omonoid__add'(
% 29.34/29.75 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102515, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 29.34/29.75 ) ] )
% 29.34/29.75 , clause( 102516, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 29.34/29.75 ] )
% 29.34/29.75 , clause( 102517, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102518, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 29.34/29.75 , clause( 102519, [
% 29.34/29.75 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102520, [
% 29.34/29.75 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102521, [
% 29.34/29.75 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102522, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102523, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102524, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102525, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102526, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102527, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102528, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 29.34/29.75 , clause( 102529, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102530, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102531, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ] )
% 29.34/29.75 , clause( 102532, [ 'class_Ring__and__Field_Opordered__semiring'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102533, [ 'class_Ring__and__Field_Oordered__semiring'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102534, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 29.34/29.75 )
% 29.34/29.75 , clause( 102535, [ 'class_Ring__and__Field_Oordered__semidom'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102536, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 29.34/29.75 , clause( 102537, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 29.34/29.75 , clause( 102538, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 29.34/29.75 , clause( 102539, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 29.34/29.75 , clause( 102540, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102541, [ 'class_Ring__and__Field_Opordered__ring'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102542, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 29.34/29.75 , clause( 102543, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102544, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 29.34/29.75 , clause( 102545, [ 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102546, [ 'class_Ring__and__Field_Omult__mono1'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102547, [ 'class_OrderedGroup_Oab__group__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Oab__group__add'( X
% 29.34/29.75 ) ) ] )
% 29.34/29.75 , clause( 102548, [ 'class_Ring__and__Field_Omult__zero'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 29.34/29.75 , clause( 102549, [ 'class_Ring__and__Field_Omult__mono'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102550, [ 'class_OrderedGroup_Omonoid__mult'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 29.34/29.75 , clause( 102551, [ 'class_Ring__and__Field_Osemiring'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 29.34/29.75 , clause( 102552, [ 'class_OrderedGroup_Omonoid__add'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102553, [ 'class_Ring__and__Field_Osgn__if'(
% 29.34/29.75 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 29.34/29.75 X ) ) ] )
% 29.34/29.75 , clause( 102554, [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'(
% 29.34/29.75 X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ] )
% 29.34/29.75 , clause( 102555, [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X )
% 29.34/29.75 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 29.34/29.75 , clause( 102556, [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X )
% 29.34/29.75 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 29.34/29.75 , clause( 102557, [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) )
% 29.34/29.75 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ] )
% 29.34/29.75 , clause( 102558, [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) )
% 29.34/29.75 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ] )
% 29.34/29.75 , clause( 102559, [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 29.34/29.75 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ] )
% 29.34/29.75 ] ).
% 29.34/29.75
% 29.34/29.75
% 29.34/29.75
% 29.34/29.75 subsumption(
% 29.34/29.75 clause( 226, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.34/29.75 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.41/29.76 , clause( 102253, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.41/29.76 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.41/29.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 29.41/29.76 1 )] ) ).
% 29.41/29.76
% 29.41/29.76
% 29.41/29.76 paramod(
% 29.41/29.76 clause( 103626, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 29.41/29.76 'tc_RealDef_Oreal' ) ), ~( 'class_RealVector_Oreal__normed__vector'( X )
% 29.41/29.76 ), ~( 'class_RealVector_Oreal__normed__vector'( X ) ) ] )
% 29.41/29.76 , clause( 226, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.41/29.76 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.41/29.76 , 1, clause( 102362, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 29.41/29.76 =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 29.41/29.76 'tc_RealDef_Oreal' ) ) ] )
% 29.41/29.76 , 1, 2, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 29.41/29.76 ).
% 29.41/29.76
% 29.41/29.76
% 29.41/29.76 factor(
% 29.41/29.76 clause( 103629, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 29.41/29.76 'tc_RealDef_Oreal' ) ), ~( 'class_RealVector_Oreal__normed__vector'( X )
% 29.41/29.76 ) ] )
% 29.41/29.76 , clause( 103626, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 29.41/29.76 'tc_RealDef_Oreal' ) ), ~( 'class_RealVector_Oreal__normed__vector'( X )
% 29.41/29.76 ), ~( 'class_RealVector_Oreal__normed__vector'( X ) ) ] )
% 29.41/29.76 , 1, 2, substitution( 0, [ :=( X, X )] )).
% 29.41/29.76
% 29.41/29.76
% 29.41/29.76 subsumption(
% 29.41/29.76 clause( 318, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.41/29.76 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 29.41/29.76 , clause( 103629, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 29.41/29.76 'tc_RealDef_Oreal' ) ), ~( 'class_RealVector_Oreal__normed__vector'( X )
% 29.41/29.76 ) ] )
% 29.41/29.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1,
% 29.41/29.76 0 )] ) ).
% 29.41/29.76
% 29.41/29.76
% 29.41/29.76 subsumption(
% 29.41/29.76 clause( 323, [ 'c_HOL_Oord__class_Oless'( X, 'c_RealDef_Oreal__of__preal'(
% 29.41/29.76 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 29.41/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 29.41/29.76 ] )
% 29.41/29.76 , clause( 102367, [ 'c_HOL_Oord__class_Oless'( X,
% 29.41/29.76 'c_RealDef_Oreal__of__preal'( Y ), 'tc_RealDef_Oreal' ), ~(
% 29.41/29.76 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.41/29.76 'tc_RealDef_Oreal' ) ) ] )
% 29.41/29.76 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.41/29.76 ), ==>( 1, 1 )] ) ).
% 29.41/29.76
% 29.41/29.76
% 29.41/29.76 factor(
% 29.41/29.76 clause( 104497, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 29.41/29.76 , clause( 102375, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 29.41/29.76 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 29.41/29.76 , 0, 1, substitution( 0, [ :=( X, X ), :=( Y, X )] )).
% 29.41/29.76
% 29.41/29.76
% 29.41/29.76 subsumption(
% 29.41/29.76 clause( 340, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 29.41/29.76 , clause( 104497, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 29.41/29.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.41/29.76
% 29.41/29.76
% 29.41/29.76 subsumption(
% 29.41/29.76 clause( 345, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 29.41/29.76 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 29.41/29.76 , clause( 102390, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 29.41/29.76 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 29.41/29.76 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.41/29.76 ), ==>( 1, 1 )] ) ).
% 29.41/29.76
% 29.41/29.76
% 29.41/29.76 subsumption(
% 29.41/29.76 clause( 352, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 29.41/29.76 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.41/29.76 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.41/29.76 , clause( 102398, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ),
% 29.41/29.76 =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 29.41/29.76 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 29.41/29.76 )
% 29.41/29.76 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 29.41/29.76 ), ==>( 1, 1 )] ) ).
% 29.41/29.76
% 29.41/29.76
% 29.41/29.76 subsumption(
% 29.41/29.76 clause( 373, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.42/29.76 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.42/29.76 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.42/29.76 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , clause( 102436, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.42/29.76 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.42/29.76 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.42/29.76 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1,
% 29.42/29.76 1 )] ) ).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 subsumption(
% 29.42/29.76 clause( 437, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ] )
% 29.42/29.76 , clause( 102500, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ] )
% 29.42/29.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 subsumption(
% 29.42/29.76 clause( 440, [ 'class_RealVector_Oreal__normed__vector'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ] )
% 29.42/29.76 , clause( 102503, [ 'class_RealVector_Oreal__normed__vector'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ] )
% 29.42/29.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 eqswap(
% 29.42/29.76 clause( 106794, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.42/29.76 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 29.42/29.76 , ~( 'class_RealVector_Oreal__normed__vector'( X ) ) ] )
% 29.42/29.76 , clause( 318, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 29.42/29.76 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 29.42/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , 1, substitution( 0, [ :=( X, X )] )).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 resolution(
% 29.42/29.76 clause( 106795, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.42/29.76 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 29.42/29.76 , clause( 106794, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.42/29.76 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 29.42/29.76 , ~( 'class_RealVector_Oreal__normed__vector'( X ) ) ] )
% 29.42/29.76 , 1, clause( 440, [ 'class_RealVector_Oreal__normed__vector'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ] )
% 29.42/29.76 , 0, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' )] ), substitution( 1
% 29.42/29.76 , [] )).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 eqswap(
% 29.42/29.76 clause( 106796, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 29.42/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 29.42/29.76 ) ] )
% 29.42/29.76 , clause( 106795, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.42/29.76 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ] )
% 29.42/29.76 , 0, substitution( 0, [] )).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 subsumption(
% 29.42/29.76 clause( 87233, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 29.42/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 29.42/29.76 ) ] )
% 29.42/29.76 , clause( 106796, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 29.42/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 29.42/29.76 ) ] )
% 29.42/29.76 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 eqswap(
% 29.42/29.76 clause( 106797, [ =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Polynomial_Opoly'(
% 29.42/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ) ), ~(
% 29.42/29.76 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ] )
% 29.42/29.76 , clause( 352, [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 29.42/29.76 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.42/29.76 X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 29.42/29.76 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 resolution(
% 29.42/29.76 clause( 106798, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 29.42/29.76 , clause( 106797, [ =( 'c_HOL_Ozero__class_Ozero'( X ),
% 29.42/29.76 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.42/29.76 X ) ), Y, X ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ]
% 29.42/29.76 )
% 29.42/29.76 , 1, clause( 437, [ 'class_Ring__and__Field_Ocomm__semiring__0'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ] )
% 29.42/29.76 , 0, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' ), :=( Y, X )] ),
% 29.42/29.76 substitution( 1, [] )).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 eqswap(
% 29.42/29.76 clause( 106799, [ =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ) ] )
% 29.42/29.76 , clause( 106798, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 29.42/29.76 , 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 29.42/29.76 , 0, substitution( 0, [ :=( X, X )] )).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 subsumption(
% 29.42/29.76 clause( 96117, [ =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ) ] )
% 29.42/29.76 , clause( 106799, [ =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ) ] )
% 29.42/29.76 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 paramod(
% 29.42/29.76 clause( 106802, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.42/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.42/29.76 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.42/29.76 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , clause( 96117, [ =( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Polynomial_Opoly'( 'tc_Complex_Ocomplex' ) ), X,
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ) ] )
% 29.42/29.76 , 0, clause( 373, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.42/29.76 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 29.42/29.76 'tc_Complex_Ocomplex' ) ), 'v_x'( X ), 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.42/29.76 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.42/29.76 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , 0, 3, substitution( 0, [ :=( X, 'v_x'( X ) )] ), substitution( 1, [ :=( X
% 29.42/29.76 , X )] )).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 paramod(
% 29.42/29.76 clause( 106803, [ ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.42/29.76 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.42/29.76 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , clause( 87233, [ =( 'c_RealVector_Onorm__class_Onorm'(
% 29.42/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 29.42/29.76 ) ] )
% 29.42/29.76 , 0, clause( 106802, [ ~( 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 29.42/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 29.42/29.76 'tc_Complex_Ocomplex' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.42/29.76 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.42/29.76 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , 0, 2, substitution( 0, [] ), substitution( 1, [ :=( X, X )] )).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 resolution(
% 29.42/29.76 clause( 106804, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.42/29.76 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.42/29.76 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , clause( 106803, [ ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 29.42/29.76 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.42/29.76 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , 0, clause( 345, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 29.42/29.76 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 29.42/29.76 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), :=( Y, X )] )).
% 29.42/29.76
% 29.42/29.76
% 29.42/29.76 factor(
% 29.42/29.76 clause( 106805, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.76 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.76 , clause( 106804, [ ~( 'c_HOL_Oord__class_Oless'(
% 29.42/29.77 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 29.42/29.77 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.77 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.77 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 29.42/29.77
% 29.42/29.77
% 29.42/29.77 subsumption(
% 29.42/29.77 clause( 102001, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.77 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.77 , clause( 106805, [ ~( 'c_HOL_Oord__class_Oless'(
% 29.42/29.77 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 29.42/29.77 ) ] )
% 29.42/29.77 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 29.42/29.77
% 29.42/29.77
% 29.42/29.77 resolution(
% 29.42/29.77 clause( 106806, [ ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.77 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.42/29.77 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.77 , clause( 102001, [ ~( 'c_HOL_Oord__class_Oless'(
% 29.42/29.77 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 29.42/29.77 ) ] )
% 29.42/29.77 , 0, clause( 323, [ 'c_HOL_Oord__class_Oless'( X,
% 29.42/29.77 'c_RealDef_Oreal__of__preal'( Y ), 'tc_RealDef_Oreal' ), ~(
% 29.42/29.77 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.42/29.77 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.77 , 0, substitution( 0, [ :=( X, 'c_RealDef_Oreal__of__preal'( X ) )] ),
% 29.42/29.77 substitution( 1, [ :=( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 29.42/29.77 ) ), :=( Y, X )] )).
% 29.42/29.77
% 29.42/29.77
% 29.42/29.77 resolution(
% 29.42/29.77 clause( 106807, [] )
% 29.42/29.77 , clause( 106806, [ ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 29.42/29.77 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 29.42/29.77 'tc_RealDef_Oreal' ) ) ] )
% 29.42/29.77 , 0, clause( 340, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 29.42/29.77 , 0, substitution( 0, [] ), substitution( 1, [ :=( X,
% 29.42/29.77 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )] )).
% 29.42/29.77
% 29.42/29.77
% 29.42/29.77 subsumption(
% 29.42/29.77 clause( 102006, [] )
% 29.42/29.77 , clause( 106807, [] )
% 29.42/29.77 , substitution( 0, [] ), permutation( 0, [] ) ).
% 29.42/29.77
% 29.42/29.77
% 29.42/29.77 end.
% 29.42/29.77
% 29.42/29.77 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 29.42/29.77
% 29.42/29.77 Memory use:
% 29.42/29.77
% 29.42/29.77 space for terms: 3540462
% 29.42/29.77 space for clauses: 4227582
% 29.42/29.77
% 29.42/29.77
% 29.42/29.77 clauses generated: 595537
% 29.42/29.77 clauses kept: 102007
% 29.42/29.77 clauses selected: 1676
% 29.42/29.77 clauses deleted: 9017
% 29.42/29.77 clauses inuse deleted: 248
% 29.42/29.77
% 29.42/29.77 subsentry: 3075347
% 29.42/29.77 literals s-matched: 2321468
% 29.42/29.77 literals matched: 2002343
% 29.42/29.77 full subsumption: 1378962
% 29.42/29.77
% 29.42/29.77 checksum: 1059786327
% 29.42/29.77
% 29.42/29.77
% 29.42/29.77 Bliksem ended
%------------------------------------------------------------------------------