%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG363-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 12:10:31 EDT 2022
% Result : Unsatisfiable 117.68s 118.09s
% Output : Refutation 117.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG363-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 8 09:50:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.85/1.24 *** allocated 10000 integers for termspace/termends
% 0.85/1.24 *** allocated 10000 integers for clauses
% 0.85/1.24 *** allocated 10000 integers for justifications
% 0.85/1.24 *** allocated 15000 integers for termspace/termends
% 0.85/1.24 Bliksem 1.12
% 0.85/1.24
% 0.85/1.24
% 0.85/1.24 Automatic Strategy Selection
% 0.85/1.24
% 0.85/1.24 Clauses:
% 0.85/1.24 [
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.24 ,
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.24 ,
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.24 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.85/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.24 , X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.85/1.24 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.85/1.24 , X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.85/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.85/1.24 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.24 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.24 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.24 , Y, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.24 , T, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.24 , T, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.24 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.24 , Y, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.24 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.24 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.25 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.85/1.25 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.25 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.85/1.25 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.25 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.85/1.25 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.85/1.25 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.25 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.25 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.25 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.25 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.25 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.25 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.85/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.85/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.85/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.85/1.25 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.85/1.25 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.25 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.85/1.25 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 0.85/1.25 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.25 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.25 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.25 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.25 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.85/1.25 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 0.85/1.25 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 0.85/1.25 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.85/1.25 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.85/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.85/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.85/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.85/1.25 [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ), T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.85/1.25 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Oln'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.25 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.25 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.85/1.25 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.85/1.25 X ), X ) ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.25 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.85/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.25 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.85/1.25 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.25 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.85/1.25 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.85/1.25 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ) ), X ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ) ), X ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ) ), X ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.85/1.25 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.85/1.25 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 Y, Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.85/1.25 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.25 X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.85/1.25 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.25 X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.85/1.25 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.25 X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.85/1.25 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.25 X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.25 X ), T, X ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.85/1.25 T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.25 X ), T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.25 T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.85/1.25 X ), Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.25 T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.25 Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.85/1.25 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.85/1.25 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.85/1.25 X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 , Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.25 , X ) ) ), =( Y, Z ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.85/1.25 , X ) ) ), =( Y, Z ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 0.85/1.25 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 0.85/1.25 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.25 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.85/1.25 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.25 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.85/1.25 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.85/1.25 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.85/1.25 ), X ), Y ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.25 , Y, X ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.25 , Y, X ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.25 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.85/1.25 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.85/1.25 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.25 ), Y ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.25 ), Y ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.85/1.25 ), Y ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 0.85/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.85/1.25 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.85/1.25 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ =( 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.85/1.25 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.85/1.25 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 0.85/1.25 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 0.85/1.25 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.85/1.25 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ), T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.85/1.25 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.25 , T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.25 , T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.85/1.25 , Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.25 , T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.85/1.25 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.85/1.25 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.25 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.85/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.85/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.85/1.25 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.85/1.25 ), X ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.85/1.25 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.85/1.25 X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.85/1.25 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.85/1.25 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.85/1.25 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.85/1.25 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.85/1.25 ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.85/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.85/1.25 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.85/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 0.85/1.25 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 0.85/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.25 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y
% 0.85/1.25 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 0.85/1.25 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 0.85/1.25 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 0.85/1.25 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 0.85/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.85/1.25 , 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.85/1.25 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.85/1.25 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.85/1.25 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.85/1.25 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.85/1.25 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.85/1.25 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.85/1.25 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.85/1.25 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.85/1.25 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 Z, Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.85/1.25 , X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.85/1.25 , X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.85/1.25 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.85/1.25 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.85/1.25 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.85/1.25 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.85/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.85/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.85/1.25 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.25 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 0.85/1.25 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.25 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.85/1.25 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.85/1.25 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.85/1.25 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.85/1.25 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.85/1.25 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.25 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.85/1.25 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 0.85/1.25 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X,
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.85/1.25 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 0.85/1.25 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 ) ],
% 0.85/1.25 [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 0.85/1.25 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 0.85/1.25 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 0.85/1.25 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.25 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 0.85/1.25 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 0.85/1.25 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.85/1.25 ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.85/1.25 , X ) ) ],
% 0.85/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.85/1.25 ],
% 0.85/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.85/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.85/1.25 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 X ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 0.85/1.25 X ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Oln'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.85/1.25 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 0.85/1.25 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.85/1.25 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.85/1.25 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.85/1.25 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.85/1.25 ],
% 0.85/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X )
% 0.85/1.25 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Osin'( X )
% 0.85/1.25 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 0.85/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.85/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( X ),
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 0.85/1.25 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.85/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.85/1.25 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.85/1.25 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.85/1.25 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.85/1.25 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.85/1.25 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.85/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.85/1.25 ,
% 0.85/1.25 [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'( 'v_s'( X ),
% 0.85/1.25 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.85/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 0.85/1.25 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.85/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.85/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.85/1.25 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_Transcendental_Oln'( 'c_HOL_Oplus__class_Oplus'(
% 0.85/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 0.85/1.25 , X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.85/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.85/1.25 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 0.89/1.25 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 0.89/1.25 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 0.89/1.25 X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 0.89/1.25 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.89/1.25 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.89/1.25 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.89/1.25 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 0.89/1.25 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 0.89/1.25 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.89/1.25 Y, X ), X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.25 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.25 X ) ) ), =( Y, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.25 X ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.89/1.25 X ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.25 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( 'v_s'( X )
% 0.89/1.25 ), 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 'v_r',
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.89/1.25 X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25 ), =( Z, Y ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.89/1.25 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.89/1.25 , X ), Z, X ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.25 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 0.89/1.25 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.89/1.25 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 0.89/1.25 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.89/1.25 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.25 ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'v_r', 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( 'v_s'( X )
% 0.89/1.25 ), 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 'v_r',
% 0.89/1.25 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'( 'v_s'(
% 0.89/1.25 'v_f____'( 'v_x' ) ) ), 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 'v_r', 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 0.89/1.25 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 0.89/1.25 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 0.89/1.25 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.89/1.25 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 0.89/1.25 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.89/1.25 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ]
% 0.89/1.25 ] .
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 percentage equality = 0.195402, percentage horn = 0.897638
% 0.89/1.25 This is a problem with some equality
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 Options Used:
% 0.89/1.25
% 0.89/1.25 useres = 1
% 0.89/1.25 useparamod = 1
% 0.89/1.25 useeqrefl = 1
% 0.89/1.25 useeqfact = 1
% 0.89/1.25 usefactor = 1
% 0.89/1.25 usesimpsplitting = 0
% 0.89/1.25 usesimpdemod = 5
% 0.89/1.25 usesimpres = 3
% 0.89/1.25
% 0.89/1.25 resimpinuse = 1000
% 0.89/1.25 resimpclauses = 20000
% 0.89/1.25 substype = eqrewr
% 0.89/1.25 backwardsubs = 1
% 0.89/1.25 selectoldest = 5
% 0.89/1.25
% 0.89/1.25 litorderings [0] = split
% 0.89/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.25
% 0.89/1.25 termordering = kbo
% 0.89/1.25
% 0.89/1.25 litapriori = 0
% 0.89/1.25 termapriori = 1
% 0.89/1.25 litaposteriori = 0
% 0.89/1.25 termaposteriori = 0
% 0.89/1.25 demodaposteriori = 0
% 0.89/1.25 ordereqreflfact = 0
% 0.89/1.25
% 0.89/1.25 litselect = negord
% 0.89/1.25
% 0.89/1.25 maxweight = 15
% 0.89/1.25 maxdepth = 30000
% 0.89/1.25 maxlength = 115
% 0.89/1.25 maxnrvars = 195
% 0.89/1.25 excuselevel = 1
% 0.89/1.25 increasemaxweight = 1
% 0.89/1.25
% 0.89/1.25 maxselected = 10000000
% 0.89/1.25 maxnrclauses = 10000000
% 0.89/1.25
% 0.89/1.25 showgenerated = 0
% 0.89/1.25 showkept = 0
% 0.89/1.25 showselected = 0
% 0.89/1.25 showdeleted = 0
% 0.89/1.25 showresimp = 1
% 0.89/1.25 showstatus = 2000
% 0.89/1.25
% 0.89/1.25 prologoutput = 1
% 0.89/1.25 nrgoals = 5000000
% 0.89/1.25 totalproof = 1
% 0.89/1.25
% 0.89/1.25 Symbols occurring in the translation:
% 0.89/1.25
% 0.89/1.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.25 . [1, 2] (w:1, o:118, a:1, s:1, b:0),
% 0.89/1.25 ! [4, 1] (w:0, o:46, a:1, s:1, b:0),
% 2.01/2.39 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.01/2.39 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Oordered__semiring__strict' [40, 1] (w:1, o:
% 2.01/2.39 53, a:1, s:1, b:0),
% 2.01/2.39 'c_HOL_Otimes__class_Otimes' [43, 3] (w:1, o:149, a:1, s:1, b:0),
% 2.01/2.39 'c_HOL_Ozero__class_Ozero' [44, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.01/2.39 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:150, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Oordered__ring__strict' [46, 1] (w:1, o:52
% 2.01/2.39 , a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Oordered__idom' [47, 1] (w:1, o:55, a:1, s:1
% 2.01/2.39 , b:0),
% 2.01/2.39 'c_HOL_Osgn__class_Osgn' [48, 2] (w:1, o:143, a:1, s:1, b:0),
% 2.01/2.39 'class_OrderedGroup_Opordered__ab__group__add' [49, 1] (w:1, o:57, a:
% 2.01/2.39 1, s:1, b:0),
% 2.01/2.39 'c_HOL_Ouminus__class_Ouminus' [50, 2] (w:1, o:144, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Oordered__field' [51, 1] (w:1, o:58, a:1, s:1
% 2.01/2.39 , b:0),
% 2.01/2.39 'c_HOL_Oinverse__class_Oinverse' [52, 2] (w:1, o:145, a:1, s:1, b:0)
% 2.01/2.39 ,
% 2.01/2.39 'class_Ring__and__Field_Odivision__by__zero' [54, 1] (w:1, o:61, a:1
% 2.01/2.39 , s:1, b:0),
% 2.01/2.39 'c_lessequals' [55, 3] (w:1, o:151, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Omult__mono1' [56, 1] (w:1, o:63, a:1, s:1
% 2.01/2.39 , b:0),
% 2.01/2.39 'class_Ring__and__Field_Omult__mono' [57, 1] (w:1, o:64, a:1, s:1, b:
% 2.01/2.39 0),
% 2.01/2.39 'class_Ring__and__Field_Opordered__ring' [58, 1] (w:1, o:68, a:1, s:1
% 2.01/2.39 , b:0),
% 2.01/2.39 'class_Ring__and__Field_Opordered__cancel__semiring' [59, 1] (w:1, o:
% 2.01/2.39 69, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Opordered__semiring' [60, 1] (w:1, o:71, a:1
% 2.01/2.39 , s:1, b:0),
% 2.01/2.39 'class_OrderedGroup_Olordered__ab__group__add' [62, 1] (w:1, o:72, a:
% 2.01/2.39 1, s:1, b:0),
% 2.01/2.39 'class_OrderedGroup_Oordered__ab__group__add' [63, 1] (w:1, o:56, a:1
% 2.01/2.39 , s:1, b:0),
% 2.01/2.39 'class_OrderedGroup_Ogroup__add' [64, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.01/2.39
% 2.01/2.39 'c_HOL_Oplus__class_Oplus' [65, 3] (w:1, o:152, a:1, s:1, b:0),
% 2.01/2.39 'class_OrderedGroup_Oab__group__add' [66, 1] (w:1, o:74, a:1, s:1, b:
% 2.01/2.39 0),
% 2.01/2.39 'class_Ring__and__Field_Oidom' [67, 1] (w:1, o:75, a:1, s:1, b:0),
% 2.01/2.39 'class_Int_Onumber__ring' [68, 1] (w:1, o:76, a:1, s:1, b:0),
% 2.01/2.39 'class_SEQ_Obanach' [72, 1] (w:1, o:91, a:1, s:1, b:0),
% 2.01/2.39 'class_RealVector_Oreal__normed__field' [73, 1] (w:1, o:77, a:1, s:1
% 2.01/2.39 , b:0),
% 2.01/2.39 'c_Transcendental_Oexp' [74, 2] (w:1, o:146, a:1, s:1, b:0),
% 2.01/2.39 'c_HOL_Oone__class_Oone' [75, 1] (w:1, o:92, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Oordered__semidom' [76, 1] (w:1, o:65, a:1
% 2.01/2.39 , s:1, b:0),
% 2.01/2.39 'class_RealVector_Oreal__normed__vector' [79, 1] (w:1, o:78, a:1, s:1
% 2.01/2.39 , b:0),
% 2.01/2.39 'c_RealVector_Onorm__class_Onorm' [80, 2] (w:1, o:147, a:1, s:1, b:0)
% 2.01/2.39 ,
% 2.01/2.39 'tc_RealDef_Oreal' [81, 0] (w:1, o:27, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Ocomm__semiring__1' [82, 1] (w:1, o:59, a:1
% 2.01/2.39 , s:1, b:0),
% 2.01/2.39 'c_HOL_Oabs__class_Oabs' [83, 2] (w:1, o:148, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Olordered__ring' [84, 1] (w:1, o:62, a:1, s:1
% 2.01/2.39 , b:0),
% 2.01/2.39 'class_OrderedGroup_Opordered__ab__group__add__abs' [85, 1] (w:1, o:
% 2.01/2.39 93, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Oordered__comm__semiring__strict' [86, 1] (w:
% 2.01/2.39 1, o:66, a:1, s:1, b:0),
% 2.01/2.39 'c_Transcendental_Osin' [87, 1] (w:1, o:94, a:1, s:1, b:0),
% 2.01/2.39 'c_Transcendental_Ocos' [88, 1] (w:1, o:95, a:1, s:1, b:0),
% 2.01/2.39 'c_Transcendental_Oln' [89, 1] (w:1, o:96, a:1, s:1, b:0),
% 2.01/2.39 'class_RealVector_Oreal__normed__div__algebra' [90, 1] (w:1, o:79, a:
% 2.01/2.39 1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Oring' [91, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Odivision__ring' [92, 1] (w:1, o:81, a:1, s:1
% 2.01/2.39 , b:0),
% 2.01/2.39 'tc_Complex_Ocomplex' [93, 0] (w:1, o:28, a:1, s:1, b:0),
% 2.01/2.39 'class_Ring__and__Field_Ofield' [95, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.01/2.39 'class_RealVector_Oreal__normed__algebra' [97, 1] (w:1, o:83, a:1, s:
% 2.01/2.39 1, b:0),
% 2.01/2.39 'class_OrderedGroup_Oab__semigroup__mult' [107, 1] (w:1, o:97, a:1
% 2.01/2.39 , s:1, b:0),
% 2.01/2.39 'class_OrderedGroup_Oab__semigroup__idem__mult' [109, 1] (w:1, o:98
% 2.01/2.39 , a:1, s:1, b:0),
% 2.01/2.39 'class_Lattices_Oboolean__algebra' [110, 1] (w:1, o:99, a:1, s:1, b:0
% 23.67/24.04 ),
% 23.67/24.04 'class_Ring__and__Field_Osgn__if' [112, 1] (w:1, o:85, a:1, s:1, b:0)
% 23.67/24.04 ,
% 23.67/24.04 'class_Ring__and__Field_Oring__no__zero__divisors' [113, 1] (w:1, o:
% 23.67/24.04 84, a:1, s:1, b:0),
% 23.67/24.04 'class_RealVector_Oreal__normed__algebra__1' [114, 1] (w:1, o:86, a:1
% 23.67/24.04 , s:1, b:0),
% 23.67/24.04 'c_Complex_ORe' [115, 1] (w:1, o:100, a:1, s:1, b:0),
% 23.67/24.04 'class_Ring__and__Field_Oordered__semiring' [116, 1] (w:1, o:67, a:1
% 23.67/24.04 , s:1, b:0),
% 23.67/24.04 'class_Orderings_Olinorder' [117, 1] (w:1, o:101, a:1, s:1, b:0),
% 23.67/24.04 'class_OrderedGroup_Olordered__ab__group__add__abs' [118, 1] (w:1, o:
% 23.67/24.04 102, a:1, s:1, b:0),
% 23.67/24.04 'class_Ring__and__Field_Oabs__if' [119, 1] (w:1, o:87, a:1, s:1, b:0)
% 23.67/24.04 ,
% 23.67/24.04 'class_Ring__and__Field_Opordered__ring__abs' [120, 1] (w:1, o:70, a:
% 23.67/24.04 1, s:1, b:0),
% 23.67/24.04 'class_Ring__and__Field_Omult__zero' [121, 1] (w:1, o:88, a:1, s:1
% 23.67/24.04 , b:0),
% 23.67/24.04 'class_Ring__and__Field_Ono__zero__divisors' [122, 1] (w:1, o:51, a:1
% 23.67/24.04 , s:1, b:0),
% 23.67/24.04 'class_Ring__and__Field_Ocomm__semiring' [123, 1] (w:1, o:60, a:1, s:
% 23.67/24.04 1, b:0),
% 23.67/24.04 'class_Ring__and__Field_Osemiring' [127, 1] (w:1, o:89, a:1, s:1, b:0
% 23.67/24.04 ),
% 23.67/24.04 'class_OrderedGroup_Omonoid__mult' [129, 1] (w:1, o:103, a:1, s:1, b:
% 23.67/24.04 0),
% 23.67/24.04 'class_OrderedGroup_Ocomm__monoid__mult' [130, 1] (w:1, o:104, a:1
% 23.67/24.04 , s:1, b:0),
% 23.67/24.04 'v_s' [135, 1] (w:1, o:105, a:1, s:1, b:0),
% 23.67/24.04 'v_r' [136, 0] (w:1, o:43, a:1, s:1, b:0),
% 23.67/24.04 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [137, 1]
% 23.67/24.04 (w:1, o:106, a:1, s:1, b:0),
% 23.67/24.04 'class_OrderedGroup_Ocomm__monoid__add' [138, 1] (w:1, o:107, a:1, s:
% 23.67/24.04 1, b:0),
% 23.67/24.04 'class_Orderings_Oorder' [139, 1] (w:1, o:108, a:1, s:1, b:0),
% 23.67/24.04 'class_Orderings_Opreorder' [140, 1] (w:1, o:109, a:1, s:1, b:0),
% 23.67/24.04 'class_OrderedGroup_Opordered__comm__monoid__add' [141, 1] (w:1, o:
% 23.67/24.04 110, a:1, s:1, b:0),
% 23.67/24.04 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [142, 1]
% 23.67/24.04 (w:1, o:111, a:1, s:1, b:0),
% 23.67/24.04 'class_OrderedGroup_Opordered__ab__semigroup__add' [145, 1] (w:1, o:
% 23.67/24.04 112, a:1, s:1, b:0),
% 23.67/24.04 'class_Ring__and__Field_Ozero__neq__one' [146, 1] (w:1, o:90, a:1, s:
% 23.67/24.04 1, b:0),
% 23.67/24.04 'class_OrderedGroup_Ocancel__semigroup__add' [147, 1] (w:1, o:113, a:
% 23.67/24.04 1, s:1, b:0),
% 23.67/24.04 'class_OrderedGroup_Ocancel__ab__semigroup__add' [148, 1] (w:1, o:114
% 23.67/24.04 , a:1, s:1, b:0),
% 23.67/24.04 'class_OrderedGroup_Oab__semigroup__add' [149, 1] (w:1, o:115, a:1
% 23.67/24.04 , s:1, b:0),
% 23.67/24.04 'class_OrderedGroup_Omonoid__add' [150, 1] (w:1, o:116, a:1, s:1, b:0
% 23.67/24.04 ),
% 23.67/24.04 'v_x' [151, 0] (w:1, o:45, a:1, s:1, b:0),
% 23.67/24.04 'v_f____' [152, 1] (w:1, o:117, a:1, s:1, b:0).
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Starting Search:
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Intermediate Status:
% 23.67/24.04 Generated: 3773
% 23.67/24.04 Kept: 2005
% 23.67/24.04 Inuse: 154
% 23.67/24.04 Deleted: 2
% 23.67/24.04 Deletedinuse: 0
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Intermediate Status:
% 23.67/24.04 Generated: 12521
% 23.67/24.04 Kept: 4028
% 23.67/24.04 Inuse: 312
% 23.67/24.04 Deleted: 8
% 23.67/24.04 Deletedinuse: 2
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Intermediate Status:
% 23.67/24.04 Generated: 25610
% 23.67/24.04 Kept: 6350
% 23.67/24.04 Inuse: 388
% 23.67/24.04 Deleted: 13
% 23.67/24.04 Deletedinuse: 5
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Intermediate Status:
% 23.67/24.04 Generated: 35567
% 23.67/24.04 Kept: 8449
% 23.67/24.04 Inuse: 453
% 23.67/24.04 Deleted: 13
% 23.67/24.04 Deletedinuse: 5
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Intermediate Status:
% 23.67/24.04 Generated: 45838
% 23.67/24.04 Kept: 10449
% 23.67/24.04 Inuse: 525
% 23.67/24.04 Deleted: 16
% 23.67/24.04 Deletedinuse: 7
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Intermediate Status:
% 23.67/24.04 Generated: 56782
% 23.67/24.04 Kept: 12662
% 23.67/24.04 Inuse: 567
% 23.67/24.04 Deleted: 22
% 23.67/24.04 Deletedinuse: 13
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Intermediate Status:
% 23.67/24.04 Generated: 68898
% 23.67/24.04 Kept: 14710
% 23.67/24.04 Inuse: 621
% 23.67/24.04 Deleted: 23
% 23.67/24.04 Deletedinuse: 13
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Intermediate Status:
% 23.67/24.04 Generated: 84035
% 23.67/24.04 Kept: 16766
% 23.67/24.04 Inuse: 631
% 23.67/24.04 Deleted: 23
% 23.67/24.04 Deletedinuse: 13
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04 Resimplifying inuse:
% 23.67/24.04 Done
% 23.67/24.04
% 23.67/24.04
% 23.67/24.04 Intermediate Status:
% 23.67/24.04 Generated: 98922
% 23.67/24.04 Kept: 18825
% 23.67/24.04 Inuse: 673
% 23.67/24.04 Deleted: 31
% 23.67/24.04 Deletedinuse: 13
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying clauses:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 114931
% 113.06/113.48 Kept: 21207
% 113.06/113.48 Inuse: 715
% 113.06/113.48 Deleted: 1298
% 113.06/113.48 Deletedinuse: 23
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 125256
% 113.06/113.48 Kept: 23265
% 113.06/113.48 Inuse: 720
% 113.06/113.48 Deleted: 1298
% 113.06/113.48 Deletedinuse: 23
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 142391
% 113.06/113.48 Kept: 25493
% 113.06/113.48 Inuse: 745
% 113.06/113.48 Deleted: 1298
% 113.06/113.48 Deletedinuse: 23
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 169041
% 113.06/113.48 Kept: 28714
% 113.06/113.48 Inuse: 775
% 113.06/113.48 Deleted: 1298
% 113.06/113.48 Deletedinuse: 23
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 185757
% 113.06/113.48 Kept: 31416
% 113.06/113.48 Inuse: 835
% 113.06/113.48 Deleted: 1298
% 113.06/113.48 Deletedinuse: 23
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 208963
% 113.06/113.48 Kept: 33775
% 113.06/113.48 Inuse: 890
% 113.06/113.48 Deleted: 1304
% 113.06/113.48 Deletedinuse: 29
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 225152
% 113.06/113.48 Kept: 36028
% 113.06/113.48 Inuse: 915
% 113.06/113.48 Deleted: 1304
% 113.06/113.48 Deletedinuse: 29
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 234561
% 113.06/113.48 Kept: 38041
% 113.06/113.48 Inuse: 920
% 113.06/113.48 Deleted: 1304
% 113.06/113.48 Deletedinuse: 29
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 251764
% 113.06/113.48 Kept: 40369
% 113.06/113.48 Inuse: 935
% 113.06/113.48 Deleted: 1308
% 113.06/113.48 Deletedinuse: 33
% 113.06/113.48
% 113.06/113.48 Resimplifying clauses:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 260697
% 113.06/113.48 Kept: 42544
% 113.06/113.48 Inuse: 970
% 113.06/113.48 Deleted: 4525
% 113.06/113.48 Deletedinuse: 233
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 267738
% 113.06/113.48 Kept: 44627
% 113.06/113.48 Inuse: 1000
% 113.06/113.48 Deleted: 4525
% 113.06/113.48 Deletedinuse: 233
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 279801
% 113.06/113.48 Kept: 46956
% 113.06/113.48 Inuse: 1035
% 113.06/113.48 Deleted: 4525
% 113.06/113.48 Deletedinuse: 233
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 294479
% 113.06/113.48 Kept: 49690
% 113.06/113.48 Inuse: 1050
% 113.06/113.48 Deleted: 4525
% 113.06/113.48 Deletedinuse: 233
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 308171
% 113.06/113.48 Kept: 52266
% 113.06/113.48 Inuse: 1065
% 113.06/113.48 Deleted: 4525
% 113.06/113.48 Deletedinuse: 233
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 320155
% 113.06/113.48 Kept: 54318
% 113.06/113.48 Inuse: 1085
% 113.06/113.48 Deleted: 4525
% 113.06/113.48 Deletedinuse: 233
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 334437
% 113.06/113.48 Kept: 56405
% 113.06/113.48 Inuse: 1124
% 113.06/113.48 Deleted: 4527
% 113.06/113.48 Deletedinuse: 234
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 348438
% 113.06/113.48 Kept: 58725
% 113.06/113.48 Inuse: 1157
% 113.06/113.48 Deleted: 4531
% 113.06/113.48 Deletedinuse: 236
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 362252
% 113.06/113.48 Kept: 61363
% 113.06/113.48 Inuse: 1177
% 113.06/113.48 Deleted: 4531
% 113.06/113.48 Deletedinuse: 236
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying clauses:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 371756
% 113.06/113.48 Kept: 63569
% 113.06/113.48 Inuse: 1192
% 113.06/113.48 Deleted: 7230
% 113.06/113.48 Deletedinuse: 430
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 380741
% 113.06/113.48 Kept: 65569
% 113.06/113.48 Inuse: 1224
% 113.06/113.48 Deleted: 7238
% 113.06/113.48 Deletedinuse: 438
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 395718
% 113.06/113.48 Kept: 67578
% 113.06/113.48 Inuse: 1264
% 113.06/113.48 Deleted: 7238
% 113.06/113.48 Deletedinuse: 438
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 411199
% 113.06/113.48 Kept: 69685
% 113.06/113.48 Inuse: 1297
% 113.06/113.48 Deleted: 7238
% 113.06/113.48 Deletedinuse: 438
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 463512
% 113.06/113.48 Kept: 73434
% 113.06/113.48 Inuse: 1306
% 113.06/113.48 Deleted: 7244
% 113.06/113.48 Deletedinuse: 438
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48 Resimplifying inuse:
% 113.06/113.48 Done
% 113.06/113.48
% 113.06/113.48
% 113.06/113.48 Intermediate Status:
% 113.06/113.48 Generated: 484698
% 113.06/113.48 Kept: 77245
% 113.06/113.48 Inuse: 1308
% 117.68/118.09 Deleted: 7253
% 117.68/118.09 Deletedinuse: 439
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 500435
% 117.68/118.09 Kept: 79422
% 117.68/118.09 Inuse: 1309
% 117.68/118.09 Deleted: 7257
% 117.68/118.09 Deletedinuse: 439
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 511265
% 117.68/118.09 Kept: 82251
% 117.68/118.09 Inuse: 1311
% 117.68/118.09 Deleted: 7265
% 117.68/118.09 Deletedinuse: 439
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying clauses:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 525834
% 117.68/118.09 Kept: 84480
% 117.68/118.09 Inuse: 1336
% 117.68/118.09 Deleted: 8452
% 117.68/118.09 Deletedinuse: 439
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 539543
% 117.68/118.09 Kept: 86486
% 117.68/118.09 Inuse: 1370
% 117.68/118.09 Deleted: 8452
% 117.68/118.09 Deletedinuse: 439
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 562209
% 117.68/118.09 Kept: 89143
% 117.68/118.09 Inuse: 1371
% 117.68/118.09 Deleted: 8452
% 117.68/118.09 Deletedinuse: 439
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 587307
% 117.68/118.09 Kept: 91910
% 117.68/118.09 Inuse: 1376
% 117.68/118.09 Deleted: 8452
% 117.68/118.09 Deletedinuse: 439
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 600072
% 117.68/118.09 Kept: 94360
% 117.68/118.09 Inuse: 1382
% 117.68/118.09 Deleted: 8452
% 117.68/118.09 Deletedinuse: 439
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 616461
% 117.68/118.09 Kept: 97256
% 117.68/118.09 Inuse: 1391
% 117.68/118.09 Deleted: 8452
% 117.68/118.09 Deletedinuse: 439
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 661436
% 117.68/118.09 Kept: 101417
% 117.68/118.09 Inuse: 1416
% 117.68/118.09 Deleted: 8453
% 117.68/118.09 Deletedinuse: 440
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying clauses:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 674495
% 117.68/118.09 Kept: 103448
% 117.68/118.09 Inuse: 1444
% 117.68/118.09 Deleted: 9322
% 117.68/118.09 Deletedinuse: 450
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 689015
% 117.68/118.09 Kept: 105877
% 117.68/118.09 Inuse: 1460
% 117.68/118.09 Deleted: 9324
% 117.68/118.09 Deletedinuse: 452
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 705298
% 117.68/118.09 Kept: 107930
% 117.68/118.09 Inuse: 1480
% 117.68/118.09 Deleted: 9328
% 117.68/118.09 Deletedinuse: 456
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 718356
% 117.68/118.09 Kept: 110087
% 117.68/118.09 Inuse: 1505
% 117.68/118.09 Deleted: 9328
% 117.68/118.09 Deletedinuse: 456
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 753877
% 117.68/118.09 Kept: 113910
% 117.68/118.09 Inuse: 1515
% 117.68/118.09 Deleted: 9329
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 781296
% 117.68/118.09 Kept: 116125
% 117.68/118.09 Inuse: 1520
% 117.68/118.09 Deleted: 9329
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 792900
% 117.68/118.09 Kept: 118187
% 117.68/118.09 Inuse: 1535
% 117.68/118.09 Deleted: 9329
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 803535
% 117.68/118.09 Kept: 120197
% 117.68/118.09 Inuse: 1560
% 117.68/118.09 Deleted: 9330
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 818051
% 117.68/118.09 Kept: 122996
% 117.68/118.09 Inuse: 1574
% 117.68/118.09 Deleted: 9330
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying clauses:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 832849
% 117.68/118.09 Kept: 125102
% 117.68/118.09 Inuse: 1604
% 117.68/118.09 Deleted: 12911
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 848877
% 117.68/118.09 Kept: 127427
% 117.68/118.09 Inuse: 1614
% 117.68/118.09 Deleted: 12911
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 867078
% 117.68/118.09 Kept: 129972
% 117.68/118.09 Inuse: 1634
% 117.68/118.09 Deleted: 12911
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 881548
% 117.68/118.09 Kept: 131984
% 117.68/118.09 Inuse: 1652
% 117.68/118.09 Deleted: 12911
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 897125
% 117.68/118.09 Kept: 134122
% 117.68/118.09 Inuse: 1679
% 117.68/118.09 Deleted: 12911
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 918778
% 117.68/118.09 Kept: 136889
% 117.68/118.09 Inuse: 1689
% 117.68/118.09 Deleted: 12911
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 930928
% 117.68/118.09 Kept: 138930
% 117.68/118.09 Inuse: 1709
% 117.68/118.09 Deleted: 12911
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 948564
% 117.68/118.09 Kept: 141247
% 117.68/118.09 Inuse: 1724
% 117.68/118.09 Deleted: 12911
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09 Resimplifying inuse:
% 117.68/118.09 Done
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 Intermediate Status:
% 117.68/118.09 Generated: 961971
% 117.68/118.09 Kept: 143394
% 117.68/118.09 Inuse: 1749
% 117.68/118.09 Deleted: 12911
% 117.68/118.09 Deletedinuse: 457
% 117.68/118.09
% 117.68/118.09 Resimplifying clauses:
% 117.68/118.09
% 117.68/118.09 Bliksems!, er is een bewijs:
% 117.68/118.09 % SZS status Unsatisfiable
% 117.68/118.09 % SZS output start Refutation
% 117.68/118.09
% 117.68/118.09 clause( 35, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 64, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.09 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 117.68/118.09 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 148, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.09 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 117.68/118.09 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.09 Y, X ), X ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 168, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.09 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 117.68/118.09 ), X ), Y ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 338, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 117.68/118.09 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 381, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.09 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 117.68/118.09 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 117.68/118.09 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 394, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.09 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.09 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 478, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.09 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 479, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'(
% 117.68/118.09 'v_s'( X ) ), 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 'v_r',
% 117.68/118.09 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.09 'tc_RealDef_Oreal' ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 539, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.09 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 'v_r',
% 117.68/118.09 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.09 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 553, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 117.68/118.09 'tc_RealDef_Oreal' ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 562, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 117.68/118.09 'tc_RealDef_Oreal' ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 571, [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal'
% 117.68/118.09 ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 573, [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal'
% 117.68/118.09 ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 738, [ ~( =( X, Y ) ), ~( =( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.68/118.09 , 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 739, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X )
% 117.68/118.09 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 2173, [ 'c_lessequals'( X, 'v_r', 'tc_RealDef_Oreal' ), ~( =(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 4107, [ ~( 'class_Ring__and__Field_Odivision__by__zero'(
% 117.68/118.09 'tc_RealDef_Oreal' ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.09 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( 'v_r',
% 117.68/118.09 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 4439, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.09 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( 'v_r',
% 117.68/118.09 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 4446, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( 'v_r', 'tc_RealDef_Oreal' ),
% 117.68/118.09 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.09 'tc_RealDef_Oreal' ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 19587, [ =( 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.09 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.09 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.09 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 29525, [ =( 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.09 'tc_RealDef_Oreal' ), X ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 137380, [ ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ouminus__class_Ouminus'( 'v_r', 'tc_RealDef_Oreal' ),
% 117.68/118.09 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 117.68/118.09 )
% 117.68/118.09 .
% 117.68/118.09 clause( 142595, [ ~( 'class_Ring__and__Field_Odivision__by__zero'(
% 117.68/118.09 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ouminus__class_Ouminus'( 'v_r', 'tc_RealDef_Oreal' ),
% 117.68/118.09 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.09 .
% 117.68/118.09 clause( 143397, [] )
% 117.68/118.09 .
% 117.68/118.09
% 117.68/118.09
% 117.68/118.09 % SZS output end Refutation
% 117.68/118.09 found a proof!
% 117.68/118.09
% 117.68/118.09 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 117.68/118.09
% 117.68/118.09 initialclauses(
% 117.68/118.09 [ clause( 143399, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.09 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.09 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143400, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.09 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 117.68/118.09 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 117.68/118.09 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 117.68/118.09 , clause( 143401, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.09 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 117.68/118.09 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 117.68/118.09 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143402, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.09 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143403, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143404, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143405, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143406, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143407, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 117.68/118.09 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143408, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.09 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.09 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143409, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.09 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.09 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 117.68/118.09 , clause( 143410, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 117.68/118.09 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 117.68/118.09 , X ) ) ] )
% 117.68/118.09 , clause( 143411, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 117.68/118.09 , clause( 143412, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143413, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143414, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143415, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 117.68/118.09 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143416, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 117.68/118.09 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 117.68/118.09 , X ) ) ] )
% 117.68/118.09 , clause( 143417, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143418, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 117.68/118.09 , clause( 143419, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143420, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 117.68/118.09 , clause( 143421, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.09 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143422, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.09 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143423, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143424, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.09 , Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143425, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 117.68/118.09 , T, X ), X ) ) ] )
% 117.68/118.09 , clause( 143426, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 117.68/118.09 , T, X ), X ) ) ] )
% 117.68/118.09 , clause( 143427, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.09 , Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143428, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143429, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.09 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.09 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143430, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 117.68/118.09 ) ] )
% 117.68/118.09 , clause( 143431, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.09 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 117.68/118.09 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 117.68/118.09 ] )
% 117.68/118.09 , clause( 143432, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.09 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 117.68/118.09 , X ) ) ] )
% 117.68/118.09 , clause( 143433, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.09 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.09 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 117.68/118.09 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143434, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.09 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143435, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.09 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143436, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.09 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143437, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 117.68/118.09 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143438, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.09 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143439, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 117.68/118.09 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.09 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143440, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 117.68/118.09 ] )
% 117.68/118.09 , clause( 143441, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 117.68/118.09 ] )
% 117.68/118.09 , clause( 143442, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 117.68/118.09 ] )
% 117.68/118.09 , clause( 143443, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 117.68/118.09 )
% 117.68/118.09 , clause( 143444, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 117.68/118.09 )
% 117.68/118.09 , clause( 143445, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143446, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143447, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143448, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 117.68/118.09 , clause( 143449, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143450, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143451, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 117.68/118.09 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143452, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 117.68/118.09 , clause( 143453, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143454, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 117.68/118.09 , clause( 143455, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.09 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 117.68/118.09 , clause( 143456, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 117.68/118.09 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 117.68/118.09 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 117.68/118.09 , clause( 143457, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 117.68/118.09 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 117.68/118.09 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 117.68/118.09 , clause( 143458, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143459, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.09 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143460, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 117.68/118.09 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143461, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 117.68/118.09 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143462, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 117.68/118.09 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.09 , clause( 143463, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 117.68/118.09 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.09 , clause( 143464, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 117.68/118.09 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 117.68/118.09 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143465, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143466, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143467, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143468, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 117.68/118.10 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143469, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.10 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143470, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 117.68/118.10 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143471, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143472, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143473, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 117.68/118.10 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.10 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143474, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 117.68/118.10 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 117.68/118.10 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143475, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 117.68/118.10 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143476, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 117.68/118.10 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143477, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 117.68/118.10 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143478, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 117.68/118.10 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143479, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 117.68/118.10 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143480, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 117.68/118.10 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143481, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 117.68/118.10 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143482, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 117.68/118.10 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143483, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 117.68/118.10 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143484, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 117.68/118.10 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 117.68/118.10 , clause( 143485, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 117.68/118.10 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 117.68/118.10 , clause( 143486, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143487, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 117.68/118.10 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 117.68/118.10 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 117.68/118.10 , clause( 143488, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143489, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143490, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143491, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143492, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 X ) ) ] )
% 117.68/118.10 , clause( 143493, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 117.68/118.10 =( 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143494, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143495, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143496, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 117.68/118.10 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143497, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 117.68/118.10 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143498, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 117.68/118.10 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143499, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143500, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 117.68/118.10 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143501, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143502, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 117.68/118.10 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 117.68/118.10 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 117.68/118.10 , clause( 143503, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 117.68/118.10 ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143504, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 117.68/118.10 'c_lessequals'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143505, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 117.68/118.10 'c_lessequals'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143506, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 117.68/118.10 , clause( 143507, [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143508, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143509, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143510, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143511, [ ~(
% 117.68/118.10 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 117.68/118.10 , clause( 143512, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143513, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143514, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143515, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 117.68/118.10 , clause( 143516, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143517, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143518, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 117.68/118.10 , clause( 143519, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 117.68/118.10 , clause( 143520, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143521, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.10 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ), T, X ) ) ] )
% 117.68/118.10 , clause( 143522, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143523, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.10 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143524, [ ~( =( 'c_Transcendental_Osin'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143525, [ =( 'c_Transcendental_Oln'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143526, [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143527, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 117.68/118.10 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143528, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143529, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 117.68/118.10 ), =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143530, [ =( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143531, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 117.68/118.10 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 117.68/118.10 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143532, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 117.68/118.10 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 117.68/118.10 X ), X ) ) ] )
% 117.68/118.10 , clause( 143533, [ =( 'c_Transcendental_Ocos'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 117.68/118.10 'c_Transcendental_Ocos'( X ) ) ] )
% 117.68/118.10 , clause( 143534, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 117.68/118.10 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.10 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143535, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 117.68/118.10 ), =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y
% 117.68/118.10 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143536, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 117.68/118.10 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 117.68/118.10 , clause( 143537, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( X,
% 117.68/118.10 'tc_Complex_Ocomplex' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143538, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 117.68/118.10 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 117.68/118.10 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143539, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 117.68/118.10 ), =( 'c_RealVector_Onorm__class_Onorm'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_Onorm__class_Onorm'( Y, X
% 117.68/118.10 ), 'tc_RealDef_Oreal' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143540, [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ) ), X ) ] )
% 117.68/118.10 , clause( 143541, [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ) ), X ) ] )
% 117.68/118.10 , clause( 143542, [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ) ), X ) ] )
% 117.68/118.10 , clause( 143543, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 117.68/118.10 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143544, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 117.68/118.10 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143545, [ =( 'c_Transcendental_Osin'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143546, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143547, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143548, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143549, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ] )
% 117.68/118.10 , clause( 143550, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143551, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Y, Y, X ) ) ] )
% 117.68/118.10 , clause( 143552, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 117.68/118.10 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 117.68/118.10 , Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143553, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 117.68/118.10 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 117.68/118.10 , Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143554, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 117.68/118.10 Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143555, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 117.68/118.10 Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143556, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 117.68/118.10 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 117.68/118.10 , X ), T, X ) ) ] )
% 117.68/118.10 , clause( 143557, [ =( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143558, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 117.68/118.10 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 117.68/118.10 , T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143559, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 117.68/118.10 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 117.68/118.10 , X ), T, X ) ) ] )
% 117.68/118.10 , clause( 143560, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Z, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143561, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 117.68/118.10 T, X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143562, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Z, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143563, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143564, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143565, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 117.68/118.10 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.10 Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143566, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 117.68/118.10 , clause( 143567, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 117.68/118.10 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 117.68/118.10 , clause( 143568, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 117.68/118.10 ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ] )
% 117.68/118.10 , clause( 143569, [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' )
% 117.68/118.10 , 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ] )
% 117.68/118.10 , clause( 143570, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) )
% 117.68/118.10 , =( X, 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143571, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 117.68/118.10 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 117.68/118.10 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143572, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 117.68/118.10 X ), X ) ) ] )
% 117.68/118.10 , clause( 143573, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 117.68/118.10 , Z, X ) ) ] )
% 117.68/118.10 , clause( 143574, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143575, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 117.68/118.10 , X ) ) ), =( Y, Z ) ] )
% 117.68/118.10 , clause( 143576, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 117.68/118.10 , X ) ) ), =( Y, Z ) ] )
% 117.68/118.10 , clause( 143577, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 117.68/118.10 , clause( 143578, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 117.68/118.10 , clause( 143579, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 117.68/118.10 , clause( 143580, [ =( 'c_Transcendental_Oln'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ) ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Oln'( X ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143581, [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 117.68/118.10 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 117.68/118.10 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143582, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 117.68/118.10 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143583, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ] )
% 117.68/118.10 , clause( 143584, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143585, [ =( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 117.68/118.10 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 117.68/118.10 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 117.68/118.10 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143586, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 117.68/118.10 , ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 117.68/118.10 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143587, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 117.68/118.10 ), X ), Y ) ] )
% 117.68/118.10 , clause( 143588, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Z, Y, X ) ) ] )
% 117.68/118.10 , clause( 143589, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143590, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Z, Y, X ) ) ] )
% 117.68/118.10 , clause( 143591, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143592, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 117.68/118.10 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 117.68/118.10 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 117.68/118.10 'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143593, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 117.68/118.10 ), Y ) ] )
% 117.68/118.10 , clause( 143594, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143595, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143596, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 117.68/118.10 ), Y ) ] )
% 117.68/118.10 , clause( 143597, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 117.68/118.10 ), Y ) ] )
% 117.68/118.10 , clause( 143598, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 117.68/118.10 , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143599, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143600, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.10 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143601, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 117.68/118.10 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143602, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143603, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143604, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143605, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143606, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 117.68/118.10 X ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 117.68/118.10 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143607, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 117.68/118.10 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143608, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143609, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143610, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143611, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143612, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143613, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143614, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143615, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143616, [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'(
% 117.68/118.10 X, 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 117.68/118.10 , 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143617, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X )
% 117.68/118.10 , X, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143618, [ ~( =( 'c_Transcendental_Oln'( X ),
% 117.68/118.10 'c_Transcendental_Oln'( Y ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ] )
% 117.68/118.10 , clause( 143619, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 117.68/118.10 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143620, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X )
% 117.68/118.10 , 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143621, [ ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143622, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143623, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) )
% 117.68/118.10 , =( 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X
% 117.68/118.10 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143624, [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' )
% 117.68/118.10 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143625, [ =( 'c_Transcendental_Oln'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143626, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143627, [ =( 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143628, [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143629, [ 'c_lessequals'( 'c_Transcendental_Osin'( X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143630, [ =( 'c_HOL_Oplus__class_Oplus'( X,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143631, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ), =( X, Y ) ] )
% 117.68/118.10 , clause( 143632, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143633, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143634, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143635, [ =( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143636, [ 'c_lessequals'( 'c_Complex_ORe'( X ),
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143637, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal'
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143638, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143639, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143640, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.10 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143641, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 117.68/118.10 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143642, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.10 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ), T, X ) ) ] )
% 117.68/118.10 , clause( 143643, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 117.68/118.10 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143644, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.10 , Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143645, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 117.68/118.10 , T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143646, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143647, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.10 , Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143648, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 117.68/118.10 , T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143649, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.10 , Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143650, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 117.68/118.10 , T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143651, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143652, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.10 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143653, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 117.68/118.10 'c_lessequals'( Z, Y, X ) ) ] )
% 117.68/118.10 , clause( 143654, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.10 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143655, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 117.68/118.10 'c_lessequals'( Z, Y, X ) ) ] )
% 117.68/118.10 , clause( 143656, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143657, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 117.68/118.10 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143658, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143659, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143660, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 117.68/118.10 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143661, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 117.68/118.10 , clause( 143662, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ), X ) ) ] )
% 117.68/118.10 , clause( 143663, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ), X ) ) ] )
% 117.68/118.10 , clause( 143664, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 117.68/118.10 , clause( 143665, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 117.68/118.10 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 117.68/118.10 , clause( 143666, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143667, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143668, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 117.68/118.10 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143669, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143670, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143671, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143672, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 117.68/118.10 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ] )
% 117.68/118.10 , clause( 143673, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 X ) ) ] )
% 117.68/118.10 , clause( 143674, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143675, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~(
% 117.68/118.10 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143676, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~(
% 117.68/118.10 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143677, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 117.68/118.10 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143678, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143679, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143680, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143681, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143682, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 117.68/118.10 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143683, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 117.68/118.10 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143684, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 117.68/118.10 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143685, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 117.68/118.10 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143686, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 117.68/118.10 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143687, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 117.68/118.10 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143688, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143689, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 117.68/118.10 ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143690, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143691, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143692, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143693, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143694, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143695, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y )
% 117.68/118.10 , 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143696, [ 'c_lessequals'( 'c_Transcendental_Oln'( X ),
% 117.68/118.10 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 117.68/118.10 Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143697, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143698, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 117.68/118.10 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143699, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 117.68/118.10 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143700, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143701, [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 117.68/118.10 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143702, [ 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143703, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143704, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143705, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 117.68/118.10 , 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143706, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143707, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143708, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143709, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143710, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143711, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143712, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143713, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143714, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143715, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143716, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143717, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 117.68/118.10 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143718, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 117.68/118.10 , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143719, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 117.68/118.10 , =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 117.68/118.10 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143720, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143721, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.10 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143722, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 117.68/118.10 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143723, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 117.68/118.10 X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 117.68/118.10 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143724, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 117.68/118.10 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 117.68/118.10 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143725, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 117.68/118.10 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 117.68/118.10 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143726, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 117.68/118.10 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 117.68/118.10 , clause( 143727, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 117.68/118.10 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 117.68/118.10 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143728, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 117.68/118.10 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 117.68/118.10 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143729, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 117.68/118.10 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 117.68/118.10 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 117.68/118.10 , clause( 143730, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 117.68/118.10 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 117.68/118.10 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143731, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 117.68/118.10 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 117.68/118.10 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143732, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Z, Y, X ) ) ] )
% 117.68/118.10 , clause( 143733, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 117.68/118.10 , X ), X ) ) ] )
% 117.68/118.10 , clause( 143734, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 117.68/118.10 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 117.68/118.10 ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143735, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 117.68/118.10 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 117.68/118.10 ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143736, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 117.68/118.10 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 117.68/118.10 , X ), X ) ) ] )
% 117.68/118.10 , clause( 143737, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 117.68/118.10 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 117.68/118.10 , X ), X ) ) ] )
% 117.68/118.10 , clause( 143738, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 117.68/118.10 , X ), X ) ) ] )
% 117.68/118.10 , clause( 143739, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143740, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143741, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143742, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 117.68/118.10 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143743, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 117.68/118.10 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143744, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 117.68/118.10 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143745, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.10 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143746, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 117.68/118.10 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ) ) ] )
% 117.68/118.10 , clause( 143747, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 117.68/118.10 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ) ) ] )
% 117.68/118.10 , clause( 143748, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 117.68/118.10 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ) ) ] )
% 117.68/118.10 , clause( 143749, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 117.68/118.10 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143750, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 117.68/118.10 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143751, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 117.68/118.10 , clause( 143752, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 117.68/118.10 , clause( 143753, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 117.68/118.10 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.10 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 117.68/118.10 =( Y, T ) ] )
% 117.68/118.10 , clause( 143754, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 117.68/118.10 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 117.68/118.10 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 117.68/118.10 =( Y, T ) ] )
% 117.68/118.10 , clause( 143755, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143756, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 117.68/118.10 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143757, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 117.68/118.10 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143758, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 117.68/118.10 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143759, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 117.68/118.10 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143760, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 117.68/118.10 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143761, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 117.68/118.10 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143762, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 117.68/118.10 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 117.68/118.10 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143763, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 117.68/118.10 , clause( 143764, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 117.68/118.10 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 117.68/118.10 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143765, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 117.68/118.10 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 117.68/118.10 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143766, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 117.68/118.10 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 117.68/118.10 , clause( 143767, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 117.68/118.10 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 117.68/118.10 , clause( 143768, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143769, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 117.68/118.10 , clause( 143770, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 117.68/118.10 , clause( 143771, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143772, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143773, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143774, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143775, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143776, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143777, [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) )
% 117.68/118.10 , =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 117.68/118.10 , clause( 143778, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 117.68/118.10 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 117.68/118.10 , clause( 143779, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 117.68/118.10 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143780, [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143781, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 117.68/118.10 , clause( 143782, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 117.68/118.10 , clause( 143783, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143784, [ =( 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143785, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 X, 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143786, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143787, [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X )
% 117.68/118.10 , 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143788, [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'(
% 117.68/118.10 X ), 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143789, [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 117.68/118.10 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143790, [ 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143791, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143792, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143793, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143794, [ ~( =( 'c_Transcendental_Ocos'( X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =(
% 117.68/118.10 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143795, [ =( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 117.68/118.10 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143796, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143797, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 117.68/118.10 ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 117.68/118.10 , clause( 143798, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143799, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143800, [ =( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 X ) ] )
% 117.68/118.10 , clause( 143801, [ =( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143802, [ =( 'c_HOL_Otimes__class_Otimes'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143803, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Oexp'( X
% 117.68/118.10 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 117.68/118.10 , 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143804, [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ] )
% 117.68/118.10 , clause( 143805, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 117.68/118.10 =( 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 117.68/118.10 , clause( 143806, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143807, [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 117.68/118.10 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ) ) ] )
% 117.68/118.10 , clause( 143808, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 117.68/118.10 X ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143809, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143810, [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143811, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 117.68/118.10 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143812, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143813, [ ~( =( 'c_Transcendental_Oln'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143814, [ ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 117.68/118.10 =( 'c_Transcendental_Oln'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 117.68/118.10 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143815, [ 'c_HOL_Oord__class_Oless'( X,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143816, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143817, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 117.68/118.10 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143818, [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143819, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143820, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143821, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143822, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143823, [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143824, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143825, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143826, [ 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143827, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143828, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143829, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143830, [ 'c_HOL_Oord__class_Oless'( X,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143831, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Y, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143832, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 117.68/118.10 ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 117.68/118.10 , 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143833, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143834, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143835, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143836, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( T, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 117.68/118.10 'c_HOL_Ouminus__class_Ouminus'( T, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143837, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_Complex_ORe'( X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_RealVector_Onorm__class_Onorm'( X, 'tc_Complex_Ocomplex' ),
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143838, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 117.68/118.10 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143839, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143840, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143841, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.10 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143842, [ 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 117.68/118.10 'v_s'( X ), 'tc_Complex_Ocomplex' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143843, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 117.68/118.10 X ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143844, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 117.68/118.10 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143845, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 117.68/118.10 X ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143846, [ 'c_lessequals'( 'c_Transcendental_Oln'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), X, 'tc_RealDef_Oreal' ) ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143847, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143848, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143849, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143850, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143851, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 117.68/118.10 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 117.68/118.10 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143852, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 117.68/118.10 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 117.68/118.10 , clause( 143853, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ) ) ] )
% 117.68/118.10 , clause( 143854, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 117.68/118.10 Y, X ) ) ] )
% 117.68/118.10 , clause( 143855, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 117.68/118.10 Y, X ) ) ] )
% 117.68/118.10 , clause( 143856, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 117.68/118.10 X ) ) ] )
% 117.68/118.10 , clause( 143857, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 117.68/118.10 , clause( 143858, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143859, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143860, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 X ), X ) ] )
% 117.68/118.10 , clause( 143861, [ ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( X,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 117.68/118.10 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143862, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 117.68/118.10 , clause( 143863, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 117.68/118.10 , clause( 143864, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal'
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143865, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 117.68/118.10 , clause( 143866, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 117.68/118.10 'c_lessequals'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143867, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143868, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 117.68/118.10 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143869, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143870, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 117.68/118.10 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143871, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143872, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 117.68/118.10 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143873, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143874, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 117.68/118.10 , clause( 143875, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143876, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143877, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143878, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 117.68/118.10 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 117.68/118.10 , clause( 143879, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 117.68/118.10 , clause( 143880, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 117.68/118.10 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143881, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143882, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143883, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 117.68/118.10 X ), X ) ) ] )
% 117.68/118.10 , clause( 143884, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Z, T, X ) ) ] )
% 117.68/118.10 , clause( 143885, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Z, T, X ) ) ] )
% 117.68/118.10 , clause( 143886, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 117.68/118.10 X ), X ) ) ] )
% 117.68/118.10 , clause( 143887, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143888, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143889, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 117.68/118.10 Y, Y, X ) ] )
% 117.68/118.10 , clause( 143890, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 117.68/118.10 Y, X ) ] )
% 117.68/118.10 , clause( 143891, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143892, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143893, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 117.68/118.10 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143894, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143895, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 117.68/118.10 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 117.68/118.10 , clause( 143896, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 117.68/118.10 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143897, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143898, [ ~( 'class_Orderings_Oorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 117.68/118.10 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 117.68/118.10 , clause( 143899, [ ~( 'class_Orderings_Oorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 117.68/118.10 , clause( 143900, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 117.68/118.10 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143901, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 117.68/118.10 , clause( 143902, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 117.68/118.10 Y, X ) ) ] )
% 117.68/118.10 , clause( 143903, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 117.68/118.10 Y, X ) ) ] )
% 117.68/118.10 , clause( 143904, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 117.68/118.10 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 117.68/118.10 , clause( 143905, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143906, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 117.68/118.10 Y, X ) ) ] )
% 117.68/118.10 , clause( 143907, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 117.68/118.10 Y, X ) ) ] )
% 117.68/118.10 , clause( 143908, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 117.68/118.10 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143909, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143910, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 117.68/118.10 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 117.68/118.10 , clause( 143911, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 117.68/118.10 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143912, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 117.68/118.10 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ] )
% 117.68/118.10 , clause( 143913, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143914, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143915, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143916, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 117.68/118.10 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 T, Z, X ) ) ), =( Y, T ) ] )
% 117.68/118.10 , clause( 143917, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) )
% 117.68/118.10 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 Y, T, X ) ) ), =( Z, T ) ] )
% 117.68/118.10 , clause( 143918, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X
% 117.68/118.10 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 117.68/118.10 , clause( 143919, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 117.68/118.10 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 117.68/118.10 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 117.68/118.10 , clause( 143920, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 117.68/118.10 X ), X ) ) ] )
% 117.68/118.10 , clause( 143921, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 117.68/118.10 , clause( 143922, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 117.68/118.10 , clause( 143923, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143924, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 117.68/118.10 , clause( 143925, [ ~( 'class_Orderings_Oorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143926, [ ~( 'class_Orderings_Oorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 117.68/118.10 Z, Y ) ] )
% 117.68/118.10 , clause( 143927, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143928, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 117.68/118.10 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 117.68/118.10 , clause( 143929, [ ~( 'class_Orderings_Oorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 117.68/118.10 Y, Z ) ] )
% 117.68/118.10 , clause( 143930, [ ~( 'class_Orderings_Oorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143931, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 117.68/118.10 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143932, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143933, [ ~( 'class_Orderings_Oorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143934, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143935, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_Complex_ORe'( 'v_s'( X ) ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 143936, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 117.68/118.10 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143937, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 117.68/118.10 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 117.68/118.10 , clause( 143938, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143939, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 117.68/118.10 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 117.68/118.10 , clause( 143940, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143941, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 117.68/118.10 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 117.68/118.10 , clause( 143942, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143943, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143944, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143945, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143946, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 117.68/118.10 ), =( Z, Y ) ] )
% 117.68/118.10 , clause( 143947, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143948, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 143949, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 117.68/118.10 , clause( 143950, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 117.68/118.10 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 117.68/118.10 , clause( 143951, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 117.68/118.10 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143952, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 117.68/118.10 ), =( Z, Y ) ] )
% 117.68/118.10 , clause( 143953, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 117.68/118.10 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 117.68/118.10 , clause( 143954, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal'
% 117.68/118.10 ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143955, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143956, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143957, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143958, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143959, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 117.68/118.10 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143960, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143961, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 117.68/118.10 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143962, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143963, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143964, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143965, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143966, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143967, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 117.68/118.10 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 117.68/118.10 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143968, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 117.68/118.10 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 117.68/118.10 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 117.68/118.10 , clause( 143969, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 117.68/118.10 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 117.68/118.10 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143970, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143971, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 117.68/118.10 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 117.68/118.10 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 143972, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143973, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 117.68/118.10 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143974, [ ~( 'class_Orderings_Oorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 117.68/118.10 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 117.68/118.10 , clause( 143975, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 117.68/118.10 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 143976, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 117.68/118.10 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 117.68/118.10 , clause( 143977, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 117.68/118.10 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143978, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 117.68/118.10 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143979, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 117.68/118.10 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143980, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 117.68/118.10 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143981, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 117.68/118.10 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 117.68/118.10 ) ) ] )
% 117.68/118.10 , clause( 143982, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 117.68/118.10 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143983, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 117.68/118.10 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143984, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 117.68/118.10 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143985, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 117.68/118.10 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 117.68/118.10 , X ) ) ] )
% 117.68/118.10 , clause( 143986, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 117.68/118.10 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 117.68/118.10 X ) ] )
% 117.68/118.10 , clause( 143987, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 117.68/118.10 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143988, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 117.68/118.10 , clause( 143989, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 117.68/118.10 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143990, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 117.68/118.10 , clause( 143991, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143992, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 117.68/118.10 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 117.68/118.10 , clause( 143993, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 117.68/118.10 , clause( 143994, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 117.68/118.10 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 143995, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 117.68/118.10 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 117.68/118.10 , clause( 143996, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 117.68/118.10 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 143997, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143998, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 143999, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 144000, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 144001, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 117.68/118.10 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.10 , clause( 144002, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 144003, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 144004, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 144005, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 117.68/118.10 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 144006, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 117.68/118.10 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 144007, [ ~(
% 117.68/118.10 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.10 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 117.68/118.10 , clause( 144008, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144009, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_Complex_ORe'( 'v_s'( X ) ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144010, [ ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.68/118.10 'c_Complex_ORe'( 'v_s'( 'v_f____'( 'v_x' ) ) ), 'tc_RealDef_Oreal' ),
% 117.68/118.10 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 117.68/118.10 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.68/118.10 ), 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 117.68/118.10 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.10 , clause( 144011, [
% 117.68/118.10 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144012, [
% 117.68/118.10 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144013, [
% 117.68/118.10 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144014, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144015, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144016, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144017, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144018, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144019, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144020, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144021, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144022, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144023, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144024, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144025, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144026, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144027, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144028, [ 'class_Ring__and__Field_Opordered__semiring'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144029, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144030, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144031, [ 'class_Ring__and__Field_Oordered__semiring'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144032, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144033, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144034, [ 'class_Ring__and__Field_Oordered__semidom'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144035, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144036, [ 'class_RealVector_Oreal__normed__algebra'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144037, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144038, [ 'class_RealVector_Oreal__normed__vector'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144039, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144040, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144041, [ 'class_Ring__and__Field_Opordered__ring'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144042, [ 'class_Ring__and__Field_Oordered__field'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144043, [ 'class_Ring__and__Field_Olordered__ring'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144044, [ 'class_Ring__and__Field_Odivision__ring'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144045, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144046, [ 'class_RealVector_Oreal__normed__field'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144047, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144048, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144049, [ 'class_Ring__and__Field_Oordered__idom'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144050, [ 'class_Ring__and__Field_Omult__mono1'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144051, [ 'class_OrderedGroup_Oab__group__add'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144052, [ 'class_Ring__and__Field_Omult__zero'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144053, [ 'class_Ring__and__Field_Omult__mono'(
% 117.68/118.10 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144054, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal'
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 144055, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal'
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 144056, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 144057, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 144058, [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 144059, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 144060, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 144061, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 144062, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 117.68/118.10 )
% 117.68/118.10 , clause( 144063, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144064, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144065, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144066, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144067, [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ] )
% 117.68/118.10 , clause( 144068, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144069, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144070, [ 'class_RealVector_Oreal__normed__div__algebra'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144071, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144072, [ 'class_RealVector_Oreal__normed__algebra__1'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144073, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144074, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144075, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144076, [ 'class_RealVector_Oreal__normed__algebra'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144077, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144078, [ 'class_RealVector_Oreal__normed__vector'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144079, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144080, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144081, [ 'class_Ring__and__Field_Odivision__ring'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144082, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144083, [ 'class_RealVector_Oreal__normed__field'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144084, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144085, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144086, [ 'class_OrderedGroup_Oab__group__add'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144087, [ 'class_Ring__and__Field_Omult__zero'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144088, [ 'class_OrderedGroup_Omonoid__mult'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144089, [ 'class_Ring__and__Field_Osemiring'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144090, [ 'class_OrderedGroup_Omonoid__add'(
% 117.68/118.10 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144091, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 144092, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 117.68/118.10 ) ] )
% 117.68/118.10 , clause( 144093, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 144094, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 117.68/118.10 ] )
% 117.68/118.10 , clause( 144095, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 , clause( 144096, [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ] )
% 117.68/118.10 ] ).
% 117.68/118.10
% 117.68/118.10
% 117.68/118.10
% 117.68/118.10 subsumption(
% 117.68/118.10 clause( 35, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 117.68/118.10 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , clause( 143435, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 117.68/118.10 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 117.68/118.10 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.10 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 117.68/118.10 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 117.68/118.10
% 117.68/118.10
% 117.68/118.10 subsumption(
% 117.68/118.10 clause( 64, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.10 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 117.68/118.11 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.11 , clause( 143468, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 117.68/118.11 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 117.68/118.11 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 117.68/118.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 117.68/118.11 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 117.68/118.11
% 117.68/118.11
% 117.68/118.11 subsumption(
% 117.68/118.11 clause( 148, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 117.68/118.11 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.11 Y, X ), X ) ) ] )
% 117.68/118.11 , clause( 143565, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 117.68/118.11 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 117.68/118.11 Y, X ), X ) ) ] )
% 117.68/118.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 117.68/118.11 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 117.68/118.11
% 117.68/118.11
% 117.68/118.11 subsumption(
% 117.68/118.11 clause( 168, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 117.68/118.11 ), X ), Y ) ] )
% 117.68/118.11 , clause( 143587, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 117.68/118.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 117.68/118.11 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 117.68/118.11 ), X ), Y ) ] )
% 117.68/118.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 117.68/118.11 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 117.68/118.11
% 117.68/118.11
% 117.68/118.11 subsumption(
% 117.68/118.11 clause( 338, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 117.68/118.11 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 117.68/118.11 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 117.68/118.11 , clause( 143781, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.68/118.11 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 117.68/118.11 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.11 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 117.68/118.11 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 117.68/118.11 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 117.68/118.11
% 117.68/118.11
% 117.68/118.11 subsumption(
% 117.68/118.11 clause( 381, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.11 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 117.68/118.11 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.11 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 117.68/118.11 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.11 , clause( 143827, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.11 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 117.68/118.11 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 117.68/118.11 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 117.68/118.11 'tc_RealDef_Oreal' ) ) ] )
% 117.68/118.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 117.68/118.11 ), ==>( 1, 1 )] ) ).
% 117.68/118.11
% 117.68/118.11
% 117.68/118.11 subsumption(
% 117.68/118.11 clause( 394, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.11 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 117.68/118.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.11 , clause( 143840, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 117.68/118.11 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 117.68/118.11 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 117.68/118.11 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 117.68/118.11 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 117.68/118.11 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 117.68/118.11 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 117.68/118.11
% 117.68/118.11
% 117.68/118.11 subsumption(
% 117.68/118.11 clause( 478, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.68/118.11 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , clause( 143934, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 117.76/118.13 'tc_RealDef_Oreal' ), 'v_r', 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 subsumption(
% 117.76/118.13 clause( 479, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Complex_ORe'(
% 117.76/118.13 'v_s'( X ) ), 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 'v_r',
% 117.76/118.13 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.76/118.13 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , clause( 143935, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.76/118.13 'c_Complex_ORe'( 'v_s'( X ) ), 'tc_RealDef_Oreal' ),
% 117.76/118.13 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 117.76/118.13 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 resolution(
% 117.76/118.13 clause( 147786, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.76/118.13 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 'v_r',
% 117.76/118.13 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.76/118.13 'tc_RealDef_Oreal' ) ) ] )
% 117.76/118.13 , clause( 144010, [ ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.76/118.13 'c_Complex_ORe'( 'v_s'( 'v_f____'( 'v_x' ) ) ), 'tc_RealDef_Oreal' ),
% 117.76/118.13 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 117.76/118.13 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 117.76/118.13 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 117.76/118.13 ), 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 117.76/118.13 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.76/118.13 , 0, clause( 479, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 117.76/118.13 'c_Complex_ORe'( 'v_s'( X ) ), 'tc_RealDef_Oreal' ),
% 117.76/118.13 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 117.76/118.13 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_f____'( 'v_x' ) )] )
% 117.76/118.13 ).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 subsumption(
% 117.76/118.13 clause( 539, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 117.76/118.13 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( 'v_r',
% 117.76/118.13 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 117.76/118.13 'tc_RealDef_Oreal' ) ) ] )
% 117.76/118.13 , clause( 147786, [ ~( 'c_HOL_Oord__class_Oless'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 117.76/118.13 'c_HOL_Oplus__class_Oplus'( 'v_r', 'c_HOL_Oone__class_Oone'(
% 117.76/118.13 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 117.76/118.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 subsumption(
% 117.76/118.13 clause( 553, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 117.76/118.13 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , clause( 144024, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 117.76/118.13 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 subsumption(
% 117.76/118.13 clause( 562, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 117.76/118.13 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , clause( 144033, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 117.76/118.13 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 subsumption(
% 117.76/118.13 clause( 571, [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal'
% 117.76/118.13 ) ] )
% 117.76/118.13 , clause( 144042, [ 'class_Ring__and__Field_Oordered__field'(
% 117.76/118.13 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 subsumption(
% 117.76/118.13 clause( 573, [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal'
% 117.76/118.13 ) ] )
% 117.76/118.13 , clause( 144044, [ 'class_Ring__and__Field_Odivision__ring'(
% 117.76/118.13 'tc_RealDef_Oreal' ) ] )
% 117.76/118.13 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 eqswap(
% 117.76/118.13 clause( 150248, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X )
% 117.76/118.13 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ),
% 117.76/118.13 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ]
% 117.76/118.13 )
% 117.76/118.13 , clause( 338, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.76/118.13 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 117.76/118.13 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 117.76/118.13 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 117.76/118.13 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 eqswap(
% 117.76/118.13 clause( 150249, [ ~( =( 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 117.76/118.13 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.76/118.13 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 117.76/118.13 'tc_RealDef_Oreal' ), Y ), =( X, Z ) ] )
% 117.76/118.13 , clause( 150248, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X
% 117.76/118.13 ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ),
% 117.76/118.13 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ]
% 117.76/118.13 )
% 117.76/118.13 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X ), :=( Z, Z )] )).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 eqfact(
% 117.76/118.13 clause( 150267, [ ~( =( X, Y ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y
% 117.76/118.13 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.76/118.13 ) ), =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y ) ] )
% 117.76/118.13 , clause( 150249, [ ~( =( 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 117.76/118.13 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 117.76/118.13 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 117.76/118.13 'tc_RealDef_Oreal' ), Y ), =( X, Z ) ] )
% 117.76/118.13 , 2, 1, substitution( 0, [ :=( X, 'c_HOL_Ozero__class_Ozero'(
% 117.76/118.13 'tc_RealDef_Oreal' ) ), :=( Y, Y ), :=( Z, X )] )).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 eqswap(
% 117.76/118.13 clause( 150270, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 117.76/118.13 , ~( =( Y, X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 117.76/118.13 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.76/118.13 ) ) ] )
% 117.76/118.13 , clause( 150267, [ ~( =( X, Y ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( X,
% 117.76/118.13 Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.76/118.13 ) ), =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y ) ] )
% 117.76/118.13 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 eqswap(
% 117.76/118.13 clause( 150272, [ ~( =( 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.76/118.13 , 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~( =( X, Y ) ) ] )
% 117.76/118.13 , clause( 150270, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 117.76/118.13 ), ~( =( Y, X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 117.76/118.13 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 117.76/118.13 ) ) ] )
% 117.76/118.13 , 2, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 subsumption(
% 117.76/118.13 clause( 738, [ ~( =( X, Y ) ), ~( =( 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.76/118.13 , 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.76/118.13 , clause( 150272, [ ~( =( 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.76/118.13 , 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~( =( X, Y ) ) ] )
% 117.76/118.13 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 1
% 117.76/118.13 ), ==>( 1, 2 ), ==>( 2, 0 )] ) ).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 eqswap(
% 117.76/118.13 clause( 150282, [ ~( =( Y, X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.76/118.13 , 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.76/118.13 , clause( 738, [ ~( =( X, Y ) ), ~( =( 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.76/118.13 , 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.76/118.13 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 117.76/118.13
% 117.76/118.13
% 117.76/118.13 eqrefl(
% 117.76/118.13 clause( 150290, [ ~( =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 117.76/118.13 ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.76/118.13 , clause( 150282, [ ~( =( Y, X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'(
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 117.76/118.13 , 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 117.76/118.13 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 117.76/118.13 , 1, substitution( 0, [ :=( X, 'c_HOL_Ozero__class_OzeroCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------