TSTP Solution File: ALG407-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG407-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 12:10:47 EDT 2022
% Result : Timeout 300.04s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG407-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Wed Jun 8 21:19:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.09/1.44 *** allocated 10000 integers for termspace/termends
% 1.09/1.44 *** allocated 10000 integers for clauses
% 1.09/1.44 *** allocated 10000 integers for justifications
% 1.09/1.44 *** allocated 15000 integers for termspace/termends
% 1.09/1.44 *** allocated 22500 integers for termspace/termends
% 1.09/1.44 *** allocated 33750 integers for termspace/termends
% 1.09/1.44 Bliksem 1.12
% 1.09/1.44
% 1.09/1.44
% 1.09/1.44 Automatic Strategy Selection
% 1.09/1.44
% 1.09/1.44 Clauses:
% 1.09/1.44 [
% 1.09/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.44 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.44 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.09/1.44 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ), =( Y, Z ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ), =( Y, Z ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.44 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.44 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.44 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.09/1.44 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 1.09/1.44 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.09/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.09/1.44 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.09/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.44 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.09/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.44 'c_lessequals'( Z, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.09/1.44 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.09/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.09/1.44 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.09/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.09/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.09/1.44 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.09/1.44 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.09/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.09/1.44 ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.44 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.44 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.44 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.44 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.09/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.44 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.44 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.09/1.44 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.09/1.44 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.09/1.44 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.09/1.44 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.09/1.44 ), Y ) ],
% 1.09/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.09/1.44 ), Y ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.09/1.44 ), Y ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.44 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.09/1.44 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.09/1.44 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.44 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.44 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 X ), X ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Z,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.44 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.09/1.44 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.09/1.44 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.44 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.44 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 Y, Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.09/1.44 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.09/1.44 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.09/1.44 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.09/1.44 , T, X ) ) ), =( Y, Z ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.09/1.44 , T, X ) ) ), =( Z, T ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.44 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 1.09/1.44 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.09/1.44 ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.09/1.44 ), X ), Y ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.09/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.09/1.44 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.44 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.44 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.44 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.09/1.44 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.44 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 1.09/1.44 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.09/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.09/1.44 , X ), X ) ) ],
% 1.09/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.09/1.44 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.09/1.44 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.44 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.09/1.44 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.09/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.09/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.44 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.44 , T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 X ), 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.09/1.44 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.09/1.44 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.44 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.44 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'(
% 1.09/1.44 Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.44 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.09/1.44 ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.09/1.44 , X ) ) ), =( Y, Z ) ],
% 1.09/1.44 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.09/1.44 , X ) ) ), =( Y, Z ) ],
% 1.09/1.44 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.44 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.09/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.09/1.44 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.09/1.44 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.09/1.44 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y
% 1.09/1.44 , X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.09/1.44 'tc_RealDef_Oreal' ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.09/1.44 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.44 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.44 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.09/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.09/1.44 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 Z, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.09/1.44 , X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.09/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.09/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.09/1.44 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.44 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.09/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.09/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.09/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.09/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.09/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.44 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.09/1.44 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.09/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.44 , X ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.09/1.44 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.09/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.44 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.09/1.44 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.44 ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.44 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.44 , X ), X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.09/1.44 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.09/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.09/1.44 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.44 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.44 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.44 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.44 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.44 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.44 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.44 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.44 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.09/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.09/1.44 X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.44 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.09/1.44 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 Y, Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 Y, Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.09/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.44 X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.09/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.44 X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.09/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.44 X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.09/1.44 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.44 X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.09/1.44 X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.44 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.09/1.44 , Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.44 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.09/1.44 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.44 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.09/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.09/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.09/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.09/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.09/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.09/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.44 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 Y, T, X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.44 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.44 X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.44 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.09/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.09/1.44 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.09/1.44 , X ), W, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.09/1.44 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.09/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.09/1.44 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.09/1.44 , X ), T, X ), W, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 'tc_nat' ), X ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.09/1.44 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.09/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.44 ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.44 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.09/1.44 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.44 ), X ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.44 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.44 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.44 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ) ],
% 1.09/1.44 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.44 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.09/1.44 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.09/1.44 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.09/1.44 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.09/1.44 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.09/1.44 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.44 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.09/1.44 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.09/1.44 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.09/1.44 ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.09/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.44 Y, X ), X ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.09/1.44 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.44 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.44 Y, X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.44 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.44 Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.09/1.44 'tc_RealDef_Oreal' ) ), X ) ],
% 1.09/1.44 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.09/1.44 'tc_RealDef_Oreal' ) ), X ) ],
% 1.09/1.44 [ =( 'c_Transcendental_Oln'( 'c_Transcendental_Oexp'( X,
% 1.09/1.44 'tc_RealDef_Oreal' ) ), X ) ],
% 1.09/1.44 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.44 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.44 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.44 ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.44 ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.09/1.44 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.09/1.44 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.09/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.09/1.44 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.44 ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.09/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.09/1.44 , X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.44 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.09/1.44 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.09/1.44 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.44 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.09/1.44 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.44 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.09/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.44 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.09/1.44 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.09/1.44 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.09/1.44 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.09/1.44 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.44 X ) ) ],
% 1.09/1.44 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.44 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ) ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_Transcendental_Oln'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.09/1.44 , X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.09/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.44 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.44 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.09/1.44 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, T, X
% 1.09/1.44 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.44 Z, U, X ), X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.09/1.44 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.09/1.44 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.44 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.09/1.44 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , 'tc_nat' ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.44 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.09/1.44 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.09/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.09/1.44 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.44 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.09/1.44 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.09/1.44 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.44 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.44 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.09/1.44 X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.44 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.44 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.09/1.44 X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.09/1.44 ), Y ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.09/1.44 , U, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.44 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.09/1.44 ), Y ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.09/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.09/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.09/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.09/1.44 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.44 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.44 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.44 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.09/1.44 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 1.09/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.44 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.44 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.44 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.44 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.44 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.09/1.44 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.44 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 1.09/1.44 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.44 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.44 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.44 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.44 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.44 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.44 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.09/1.44 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.09/1.44 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.44 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.09/1.44 ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.09/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.09/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.44 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.09/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.09/1.44 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.44 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.44 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.44 Y, X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.44 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.44 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.44 Z, T, X ), X ) ) ],
% 1.09/1.44 [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y
% 1.09/1.44 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 1.09/1.44 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.44 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.09/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.09/1.44 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 1.09/1.44 'tc_RealDef_Oreal' ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.44 ) ],
% 1.09/1.44 [ ~( =( 'c_Transcendental_Oexp'( 'c_Transcendental_Oln'( X ),
% 1.09/1.44 'tc_RealDef_Oreal' ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.44 ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X )
% 1.09/1.44 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_RealVector_Onorm__class_Onorm'( Y,
% 1.09/1.44 X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.09/1.44 'tc_RealDef_Oreal' ) ],
% 1.09/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal'
% 1.09/1.44 ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.09/1.44 ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.09/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( Y, 'tc_RealDef_Oreal' ),
% 1.09/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.09/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.09/1.44 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.09/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.09/1.44 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.09/1.44 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.09/1.44 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 1.09/1.44 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.09/1.44 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.09/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.44 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.09/1.44 ],
% 1.09/1.44 [ 'c_lessequals'( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.44 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.09/1.44 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_Transcendental_Oexp'( X,
% 1.09/1.44 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.09/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.09/1.44 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.09/1.44 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.09/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.09/1.44 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.44 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.44 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.09/1.44 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.09/1.44 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.44 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.44 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.09/1.44 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.44 X, T, 'tc_nat' ) ],
% 1.09/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.09/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.09/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.09/1.44 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.44 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.09/1.44 Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.09/1.44 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.09/1.44 Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.09/1.44 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 1.09/1.44 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.44 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.09/1.44 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.09/1.44 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.09/1.44 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 1.09/1.44 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.09/1.44 ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.09/1.44 ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.09/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 1.09/1.44 Y, 'tc_nat' ) ) ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.09/1.44 ],
% 1.09/1.44 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.09/1.44 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.09/1.44 ],
% 1.09/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.44 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.44 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.44 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.09/1.44 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.09/1.44 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Power_Opower__class_Opower'( Y
% 1.09/1.44 , Z, X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.44 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.44 Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.09/1.44 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.09/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.44 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.09/1.44 ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.44 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.44 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.09/1.44 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.44 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.09/1.44 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.09/1.44 X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.09/1.44 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.09/1.44 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.09/1.44 ,
% 1.09/1.44 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.44 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.44 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.09/1.44 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.44 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X
% 1.09/1.44 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.44 ) ],
% 1.09/1.44 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.44 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 1.09/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.44 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.09/1.44 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.44 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.09/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 1.09/1.44 ],
% 1.09/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.09/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.09/1.45 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.45 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.45 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.45 ), X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.09/1.45 'c_lessequals'( Z, Y, X ) ],
% 1.09/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.09/1.45 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.45 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.45 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.09/1.45 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.45 , Y, X ) ) ],
% 1.09/1.45 [ =( 'c_Transcendental_Oln'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.09/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) )
% 1.09/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.09/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.09/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_lessequals'( 'c_Power_Opower__class_Opower'( X, 'c_Suc'( Y ),
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.09/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 'v_k____',
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'v_n____', 'tc_nat' ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.09/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.45 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.09/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.09/1.45 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.09/1.45 ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.09/1.45 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.09/1.45 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.45 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.09/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.45 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.45 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.45 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.45 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.45 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.45 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.45 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.45 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.45 ), 'tc_nat' ), X ) ],
% 1.09/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.45 , X, 'tc_nat' ), X ) ],
% 1.09/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.09/1.45 'c_Power_Opower__class_Opower'( X, 'c_Suc'( Z ), 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
% 1.09/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), 'c_Suc'(
% 1.09/1.45 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_RealDef_Oreal' )
% 1.09/1.45 , 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.09/1.45 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.45 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.09/1.45 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.09/1.45 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.45 Z, Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( =( 'v_k____', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.09/1.45 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.09/1.45 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.45 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.45 , T, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.45 , T, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.45 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), T, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.45 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.45 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.45 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.09/1.45 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.45 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.09/1.45 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.09/1.45 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.45 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.45 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.45 ), X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.45 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.45 ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.09/1.45 ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.45 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.09/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , 'tc_nat' ), X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.09/1.45 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , 'tc_nat' ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.45 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.45 'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 1.09/1.45 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.45 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.45 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.45 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.45 ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.45 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.45 , 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.45 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.45 Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , T, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , T, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.45 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.09/1.45 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.09/1.45 ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.45 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.45 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.09/1.45 ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.09/1.45 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , Z, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.09/1.45 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 , Z, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.45 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.09/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.09/1.45 , Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 Y, T, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 Y, T, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.09/1.45 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.09/1.45 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.09/1.45 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.45 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.09/1.45 X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.09/1.45 Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.09/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.45 Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.09/1.45 X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.45 , T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.45 , T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.45 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.09/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.45 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.09/1.45 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.45 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.45 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.09/1.45 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.09/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.09/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.09/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.09/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.45 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.45 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.09/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.45 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.09/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.45 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.45 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.09/1.45 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.09/1.45 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.09/1.45 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.45 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.09/1.45 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.09/1.45 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.09/1.45 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.45 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.09/1.45 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.09/1.45 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.45 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.45 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.09/1.45 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.09/1.45 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.45 , T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.09/1.45 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.09/1.45 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.09/1.45 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.09/1.45 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.09/1.45 , X ), W, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.09/1.45 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.09/1.45 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.45 ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.09/1.45 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.09/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.45 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.45 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.09/1.45 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.45 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.45 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.45 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.09/1.45 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.45 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.45 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.45 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.45 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.45 ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.45 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.45 ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.45 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.09/1.45 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ), X,
% 1.09/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_Transcendental_Oln'( Y ) ) ),
% 1.09/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), X, 'tc_RealDef_Oreal' ) ), =( X, Y ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.09/1.45 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.09/1.45 'c_Transcendental_Oln'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( =( 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ =( 'c_Transcendental_Oln'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
% 1.09/1.45 [ =( 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.45 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.09/1.45 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_nat' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.45 , T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.09/1.45 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.09/1.45 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.45 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.45 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.45 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.45 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.09/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.09/1.45 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.09/1.45 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.09/1.45 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.45 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.45 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.09/1.45 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.09/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.09/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.09/1.45 , X ), W, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.09/1.45 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.09/1.45 W, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.09/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.09/1.45 , X ), T, X ), W, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.09/1.45 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.09/1.45 W, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.09/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.09/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.09/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ) ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.45 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.45 Z, 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.45 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.45 , X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.45 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 Z, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.45 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.45 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.45 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.45 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 X ), T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 X ), T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.09/1.45 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T
% 1.09/1.45 , U, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Z, X ), U,
% 1.09/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), T, 'tc_RealDef_Oreal' ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 1.09/1.45 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.09/1.45 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.09/1.45 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.09/1.45 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.09/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
% 1.09/1.45 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.09/1.45 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.09/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.09/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oexp'( X,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.09/1.45 ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Oln'(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( =( 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.45 ), =( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_Transcendental_Oln'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oln'( X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.09/1.45 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 1.09/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'(
% 1.09/1.45 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ),
% 1.09/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), 'c_Transcendental_Oln'( X ), 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.09/1.45 , 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_Transcendental_Oexp'( X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
% 1.09/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1'( X ), X,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ),
% 1.09/1.45 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), 'c_lessequals'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.09/1.45 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'v_k____', 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_nat' ), 'tc_nat' ), 'v_n____' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 1.09/1.45 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'v_w____', 'tc_Complex_Ocomplex' ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'v_k____', 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.09/1.45 ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'v_m____', 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'v_t____', 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'v_w____', 'tc_Complex_Ocomplex' ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'v_k____', 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.09/1.45 ), 'tc_nat' ), 'tc_RealDef_Oreal' ), 'v_m____', 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.45 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.09/1.45 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.09/1.45 T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.09/1.45 X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.09/1.45 T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.45 X ), T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 T, X ), X ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.45 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.09/1.45 X ), T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.45 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.09/1.45 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.09/1.45 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.09/1.45 X ), X ) ) ],
% 1.09/1.45 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 1.09/1.45 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.09/1.45 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.45 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.09/1.45 X ) ) ), =( Z, T ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.09/1.45 X ) ) ), =( Z, T ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.09/1.45 X ) ) ), =( Y, T ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.09/1.45 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.09/1.45 X ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.09/1.45 X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.09/1.45 X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.09/1.45 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.09/1.45 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.09/1.45 ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.09/1.45 Y, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.09/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.09/1.45 X ), Y ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.09/1.45 X ), Y ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.45 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.45 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.45 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.45 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.09/1.45 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.09/1.45 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.45 , Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.09/1.45 , X ) ) ],
% 1.09/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.45 , Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'v_t____', 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.09/1.45 ), Y, X ) ), =( Z, T ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.45 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.09/1.45 X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Z, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Z, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.45 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.09/1.45 X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.09/1.45 X ), X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), Z, 'tc_RealDef_Oreal' ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.45 , T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.09/1.45 , T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Y, X ), X ) ) ],
% 1.09/1.45 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.45 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.45 , Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.45 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.09/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.09/1.45 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.45 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.45 ), =( Z, Y ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.45 ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.45 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.45 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.09/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.45 , Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.09/1.45 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.45 ), 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.45 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.09/1.45 'tc_nat' ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.45 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.09/1.45 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.09/1.45 ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.09/1.45 ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.09/1.45 ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.09/1.45 ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.09/1.45 ],
% 1.09/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.09/1.45 ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.09/1.45 ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.45 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.45 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.45 , Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.09/1.45 , Y, X ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'v_t____', 'tc_RealDef_Oreal' ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.09/1.45 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.09/1.45 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.09/1.45 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.09/1.45 ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.09/1.45 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.09/1.45 Y, T, X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.09/1.45 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.09/1.45 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.45 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.09/1.45 ,
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.45 X ), T, X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.09/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.45 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.09/1.45 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.09/1.45 ) ],
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% 1.09/1.46 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.09/1.46 ],
% 1.09/1.46 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.09/1.46 ],
% 1.09/1.46 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.46 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.46 ] .
% 1.09/1.46
% 1.09/1.46
% 1.09/1.46 percentage equality = 0.174570, percentage horn = 0.794409
% 1.09/1.46 This is a problem with some equality
% 1.09/1.46
% 1.09/1.46
% 1.09/1.46
% 1.09/1.46 Options Used:
% 1.09/1.46
% 1.09/1.46 useres = 1
% 1.09/1.46 useparamod = 1
% 1.09/1.46 useeqrefl = 1
% 1.09/1.46 useeqfact = 1
% 1.09/1.46 usefactor = 1
% 1.09/1.46 usesimpsplitting = 0
% 1.09/1.46 usesimpdemod = 5
% 1.09/1.46 usesimpres = 3
% 1.09/1.46
% 1.09/1.46 resimpinuse = 1000
% 1.09/1.46 resimpclauses = 20000
% 1.09/1.46 substype = eqrewr
% 1.09/1.46 backwardsubs = 1
% 1.09/1.46 selectoldest = 5
% 1.09/1.46
% 1.09/1.46 litorderings [0] = split
% 1.09/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 1.09/1.46
% 1.09/1.46 termordering = kbo
% 1.09/1.46
% 1.09/1.46 litapriori = 0
% 1.09/1.46 termapriori = 1
% 1.09/1.46 litaposteriori = 0
% 1.09/1.46 termaposteriori = 0
% 1.09/1.46 demodaposteriori = 0
% 1.09/1.46 ordereqreflfact = 0
% 1.09/1.46
% 1.09/1.46 litselect = negord
% 1.09/1.46
% 1.09/1.46 maxweight = 15
% 1.09/1.46 maxdepth = 30000
% 1.09/1.46 maxlength = 115
% 1.09/1.46 maxnrvars = 195
% 1.09/1.46 excuselevel = 1
% 1.09/1.46 increasemaxweight = 1
% 1.09/1.46
% 1.09/1.46 maxselected = 10000000
% 1.09/1.46 maxnrclauses = 10000000
% 1.09/1.46
% 1.09/1.46 showgenerated = 0
% 1.09/1.46 showkept = 0
% 1.09/1.46 showselected = 0
% 1.09/1.46 showdeleted = 0
% 1.09/1.46 showresimp = 1
% 1.09/1.46 showstatus = 2000
% 1.09/1.46
% 1.09/1.46 prologoutput = 1
% 1.09/1.46 nrgoals = 5000000
% 1.09/1.46 totalproof = 1
% 1.09/1.46
% 1.09/1.46 Symbols occurring in the translation:
% 1.09/1.46
% 1.09/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.09/1.46 . [1, 2] (w:1, o:131, a:1, s:1, b:0),
% 1.09/1.46 ! [4, 1] (w:0, o:58, a:1, s:1, b:0),
% 1.09/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.09/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.09/1.46 'class_Divides_Osemiring__div' [40, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.09/1.46 'c_Divides_Odiv__class_Odiv' [43, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.09/1.46 'class_OrderedGroup_Oab__group__add' [44, 1] (w:1, o:65, a:1, s:1, b:
% 1.09/1.46 0),
% 1.09/1.46 'c_HOL_Ominus__class_Ominus' [46, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.09/1.46 'class_OrderedGroup_Ogroup__add' [47, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.09/1.46
% 1.09/1.46 'class_Ring__and__Field_Oidom' [48, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.09/1.46 'class_Int_Onumber__ring' [49, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus' [50, 2] (w:1, o:156, a:1, s:1, b:0),
% 1.09/1.46 'class_Ring__and__Field_Ofield' [53, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide' [54, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.09/1.46
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero' [55, 1] (w:1, o:73, a:1
% 1.09/1.46 , s:1, b:0),
% 1.09/1.46 'class_RealVector_Oreal__normed__field' [56, 1] (w:1, o:74, a:1, s:1
% 1.09/1.46 , b:0),
% 1.09/1.46 'class_Ring__and__Field_Oordered__idom' [57, 1] (w:1, o:79, a:1, s:1
% 1.09/1.46 , b:0),
% 1.09/1.46 'c_HOL_Osgn__class_Osgn' [58, 2] (w:1, o:157, a:1, s:1, b:0),
% 1.09/1.46 'class_RealVector_Oreal__normed__vector' [59, 1] (w:1, o:80, a:1, s:1
% 2.87/3.23 , b:0),
% 2.87/3.23 'class_SEQ_Obanach' [60, 1] (w:1, o:103, a:1, s:1, b:0),
% 2.87/3.23 'c_Transcendental_Oexp' [61, 2] (w:1, o:158, a:1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Oordered__field' [62, 1] (w:1, o:81, a:1, s:1
% 2.87/3.23 , b:0),
% 2.87/3.23 'c_lessequals' [65, 3] (w:1, o:166, a:1, s:1, b:0),
% 2.87/3.23 'c_HOL_Oord__class_Oless' [66, 3] (w:1, o:167, a:1, s:1, b:0),
% 2.87/3.23 'class_Int_Onumber' [67, 1] (w:1, o:104, a:1, s:1, b:0),
% 2.87/3.23 'c_Int_Onumber__class_Onumber__of' [68, 2] (w:1, o:160, a:1, s:1, b:0
% 2.87/3.23 ),
% 2.87/3.23 'c_HOL_Oinverse__class_Oinverse' [70, 2] (w:1, o:159, a:1, s:1, b:0)
% 2.87/3.23 ,
% 2.87/3.23 'class_Orderings_Oorder' [71, 1] (w:1, o:105, a:1, s:1, b:0),
% 2.87/3.23 'class_Orderings_Opreorder' [72, 1] (w:1, o:106, a:1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Odivision__ring' [73, 1] (w:1, o:82, a:1, s:1
% 2.87/3.23 , b:0),
% 2.87/3.23 'class_OrderedGroup_Oordered__ab__group__add' [74, 1] (w:1, o:107, a:
% 2.87/3.23 1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Osgn__if' [75, 1] (w:1, o:87, a:1, s:1, b:0)
% 2.87/3.23 ,
% 2.87/3.23 'class_OrderedGroup_Opordered__ab__group__add' [76, 1] (w:1, o:108
% 2.87/3.23 , a:1, s:1, b:0),
% 2.87/3.23 'c_Suc' [77, 1] (w:1, o:110, a:1, s:1, b:0),
% 2.87/3.23 'tc_nat' [79, 0] (w:1, o:31, a:1, s:1, b:0),
% 2.87/3.23 'class_Lattices_Oboolean__algebra' [81, 1] (w:1, o:111, a:1, s:1, b:0
% 2.87/3.23 ),
% 2.87/3.23 'c_Parity_Oeven__odd__class_Oeven' [82, 2] (w:1, o:161, a:1, s:1, b:0
% 2.87/3.23 ),
% 2.87/3.23 'c_Power_Opower__class_Opower' [83, 3] (w:1, o:168, a:1, s:1, b:0),
% 2.87/3.23 'c_HOL_Oplus__class_Oplus' [84, 3] (w:1, o:169, a:1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Oordered__semidom' [85, 1] (w:1, o:89, a:1
% 2.87/3.23 , s:1, b:0),
% 2.87/3.23 'class_Int_Oring__char__0' [86, 1] (w:1, o:112, a:1, s:1, b:0),
% 2.87/3.23 'tc_RealDef_Oreal' [90, 0] (w:1, o:32, a:1, s:1, b:0),
% 2.87/3.23 'class_RealVector_Oreal__normed__div__algebra' [91, 1] (w:1, o:90, a:
% 2.87/3.23 1, s:1, b:0),
% 2.87/3.23 'c_RealVector_Onorm__class_Onorm' [92, 2] (w:1, o:162, a:1, s:1, b:0)
% 2.87/3.23 ,
% 2.87/3.23 'c_HOL_Oone__class_Oone' [93, 1] (w:1, o:113, a:1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Oring' [96, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.87/3.23 'c_HOL_Otimes__class_Otimes' [98, 3] (w:1, o:170, a:1, s:1, b:0),
% 2.87/3.23 'class_Orderings_Olinorder' [102, 1] (w:1, o:114, a:1, s:1, b:0),
% 2.87/3.23 'class_OrderedGroup_Olordered__ab__group__add' [103, 1] (w:1, o:115
% 2.87/3.23 , a:1, s:1, b:0),
% 2.87/3.23 'class_RealVector_Oreal__normed__algebra' [104, 1] (w:1, o:91, a:1
% 2.87/3.23 , s:1, b:0),
% 2.87/3.23 'class_RealVector_Oreal__field' [107, 1] (w:1, o:92, a:1, s:1, b:0),
% 2.87/3.23
% 2.87/3.23 'class_Ring__and__Field_Opordered__ring' [110, 1] (w:1, o:96, a:1, s:
% 2.87/3.23 1, b:0),
% 2.87/3.23 'c_Transcendental_Oln' [112, 1] (w:1, o:116, a:1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Ocomm__ring__1' [114, 1] (w:1, o:70, a:1, s:1
% 2.87/3.23 , b:0),
% 2.87/3.23 'class_OrderedGroup_Opordered__ab__semigroup__add' [116, 1] (w:1, o:
% 2.87/3.23 117, a:1, s:1, b:0),
% 2.87/3.23 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [117, 1]
% 2.87/3.23 (w:1, o:118, a:1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Ozero__neq__one' [118, 1] (w:1, o:97, a:1, s:
% 2.87/3.23 1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Ono__zero__divisors' [119, 1] (w:1, o:78, a:1
% 2.87/3.23 , s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Omult__zero' [120, 1] (w:1, o:75, a:1, s:1
% 2.87/3.23 , b:0),
% 2.87/3.23 'class_Power_Opower' [121, 1] (w:1, o:130, a:1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Osemiring__0' [122, 1] (w:1, o:98, a:1, s:1
% 2.87/3.23 , b:0),
% 2.87/3.23 'class_Ring__and__Field_Oordered__ring__strict' [123, 1] (w:1, o:88
% 2.87/3.23 , a:1, s:1, b:0),
% 2.87/3.23 'class_OrderedGroup_Omonoid__mult' [124, 1] (w:1, o:119, a:1, s:1, b:
% 2.87/3.23 0),
% 2.87/3.23 'class_RealVector_Oreal__normed__algebra__1' [125, 1] (w:1, o:99, a:1
% 2.87/3.23 , s:1, b:0),
% 2.87/3.23 'v_k____' [128, 0] (w:1, o:44, a:1, s:1, b:0),
% 2.87/3.23 'v_n____' [129, 0] (w:1, o:46, a:1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Omult__mono1' [130, 1] (w:1, o:76, a:1, s:1
% 2.87/3.23 , b:0),
% 2.87/3.23 'class_Ring__and__Field_Omult__mono' [131, 1] (w:1, o:77, a:1, s:1
% 2.87/3.23 , b:0),
% 2.87/3.23 'class_Ring__and__Field_Oordered__semiring__strict' [134, 1] (w:1, o:
% 2.87/3.23 93, a:1, s:1, b:0),
% 2.87/3.23 'class_Ring__and__Field_Oordered__semiring' [135, 1] (w:1, o:94, a:1
% 2.87/3.23 , s:1, b:0),
% 22.54/22.94 'class_Ring__and__Field_Opordered__cancel__semiring' [136, 1] (w:1
% 22.54/22.94 , o:100, a:1, s:1, b:0),
% 22.54/22.94 'class_Ring__and__Field_Opordered__semiring' [137, 1] (w:1, o:101, a:
% 22.54/22.94 1, s:1, b:0),
% 22.54/22.94 'class_OrderedGroup_Opordered__comm__monoid__add' [138, 1] (w:1, o:
% 22.54/22.94 120, a:1, s:1, b:0),
% 22.54/22.94 'class_OrderedGroup_Ocomm__monoid__add' [139, 1] (w:1, o:121, a:1, s:
% 22.54/22.94 1, b:0),
% 22.54/22.94 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [140, 1]
% 22.54/22.94 (w:1, o:122, a:1, s:1, b:0),
% 22.54/22.94 'class_Ring__and__Field_Osemiring' [141, 1] (w:1, o:102, a:1, s:1, b:
% 22.54/22.94 0),
% 22.54/22.94 'class_Ring__and__Field_Ocomm__semiring__1' [142, 1] (w:1, o:71, a:1
% 22.54/22.94 , s:1, b:0),
% 22.54/22.94 'class_Ring__and__Field_Oring__1' [145, 1] (w:1, o:84, a:1, s:1, b:0)
% 22.54/22.94 ,
% 22.54/22.94 'c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1' [148, 1
% 22.54/22.94 ] (w:1, o:109, a:1, s:1, b:0),
% 22.54/22.94 'v_w____' [149, 0] (w:1, o:53, a:1, s:1, b:0),
% 22.54/22.94 'tc_Complex_Ocomplex' [150, 0] (w:1, o:54, a:1, s:1, b:0),
% 22.54/22.94 'v_m____' [151, 0] (w:1, o:45, a:1, s:1, b:0),
% 22.54/22.94 'v_t____' [152, 0] (w:1, o:55, a:1, s:1, b:0),
% 22.54/22.94 'class_OrderedGroup_Oab__semigroup__idem__mult' [153, 1] (w:1, o:123
% 22.54/22.94 , a:1, s:1, b:0),
% 22.54/22.94 'class_OrderedGroup_Ocomm__monoid__mult' [154, 1] (w:1, o:124, a:1
% 22.54/22.94 , s:1, b:0),
% 22.54/22.94 'class_OrderedGroup_Oab__semigroup__mult' [155, 1] (w:1, o:125, a:1
% 22.54/22.94 , s:1, b:0),
% 22.54/22.94 'class_Ring__and__Field_Ocomm__semiring' [161, 1] (w:1, o:72, a:1, s:
% 22.54/22.94 1, b:0),
% 22.54/22.94 'class_OrderedGroup_Ocancel__ab__semigroup__add' [162, 1] (w:1, o:126
% 22.54/22.94 , a:1, s:1, b:0),
% 22.54/22.94 'class_OrderedGroup_Ocancel__semigroup__add' [163, 1] (w:1, o:127, a:
% 22.54/22.94 1, s:1, b:0),
% 22.54/22.94 'class_Ring__and__Field_Oring__no__zero__divisors' [164, 1] (w:1, o:
% 22.54/22.94 85, a:1, s:1, b:0),
% 22.54/22.94 'class_Ring__and__Field_Oring__1__no__zero__divisors' [165, 1] (w:1
% 22.54/22.94 , o:86, a:1, s:1, b:0),
% 22.54/22.94 'class_OrderedGroup_Oab__semigroup__add' [167, 1] (w:1, o:128, a:1
% 22.54/22.94 , s:1, b:0),
% 22.54/22.94 'class_Ring__and__Field_Oordered__comm__semiring__strict' [168, 1]
% 22.54/22.94 (w:1, o:95, a:1, s:1, b:0),
% 22.54/22.94 'class_OrderedGroup_Omonoid__add' [169, 1] (w:1, o:129, a:1, s:1, b:0
% 22.54/22.94 ),
% 22.54/22.94 'tc_Int_Oint' [170, 0] (w:1, o:57, a:1, s:1, b:0).
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Starting Search:
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 2850
% 22.54/22.94 Kept: 2005
% 22.54/22.94 Inuse: 73
% 22.54/22.94 Deleted: 0
% 22.54/22.94 Deletedinuse: 0
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 6575
% 22.54/22.94 Kept: 4008
% 22.54/22.94 Inuse: 218
% 22.54/22.94 Deleted: 8
% 22.54/22.94 Deletedinuse: 0
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 16146
% 22.54/22.94 Kept: 6083
% 22.54/22.94 Inuse: 247
% 22.54/22.94 Deleted: 9
% 22.54/22.94 Deletedinuse: 0
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 22498
% 22.54/22.94 Kept: 8087
% 22.54/22.94 Inuse: 300
% 22.54/22.94 Deleted: 10
% 22.54/22.94 Deletedinuse: 0
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 32326
% 22.54/22.94 Kept: 10148
% 22.54/22.94 Inuse: 357
% 22.54/22.94 Deleted: 14
% 22.54/22.94 Deletedinuse: 0
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 41995
% 22.54/22.94 Kept: 12295
% 22.54/22.94 Inuse: 394
% 22.54/22.94 Deleted: 17
% 22.54/22.94 Deletedinuse: 0
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 51837
% 22.54/22.94 Kept: 14351
% 22.54/22.94 Inuse: 452
% 22.54/22.94 Deleted: 19
% 22.54/22.94 Deletedinuse: 0
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 63367
% 22.54/22.94 Kept: 16352
% 22.54/22.94 Inuse: 534
% 22.54/22.94 Deleted: 23
% 22.54/22.94 Deletedinuse: 0
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 76874
% 22.54/22.94 Kept: 18803
% 22.54/22.94 Inuse: 548
% 22.54/22.94 Deleted: 23
% 22.54/22.94 Deletedinuse: 0
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94 Resimplifying clauses:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 87472
% 22.54/22.94 Kept: 20871
% 22.54/22.94 Inuse: 563
% 22.54/22.94 Deleted: 425
% 22.54/22.94 Deletedinuse: 1
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 96550
% 22.54/22.94 Kept: 22877
% 22.54/22.94 Inuse: 587
% 22.54/22.94 Deleted: 425
% 22.54/22.94 Deletedinuse: 1
% 22.54/22.94
% 22.54/22.94 Resimplifying inuse:
% 22.54/22.94 Done
% 22.54/22.94
% 22.54/22.94
% 22.54/22.94 Intermediate Status:
% 22.54/22.94 Generated: 109928
% 22.54/22.94 Kept: 25069
% 22.54/22.94 Inuse: 618
% 22.54/22.94 Deleted: 430
% 52.59/52.92 Deletedinuse: 6
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 127902
% 52.59/52.92 Kept: 27574
% 52.59/52.92 Inuse: 628
% 52.59/52.92 Deleted: 430
% 52.59/52.92 Deletedinuse: 6
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 153174
% 52.59/52.92 Kept: 30851
% 52.59/52.92 Inuse: 682
% 52.59/52.92 Deleted: 431
% 52.59/52.92 Deletedinuse: 6
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 162595
% 52.59/52.92 Kept: 32867
% 52.59/52.92 Inuse: 709
% 52.59/52.92 Deleted: 434
% 52.59/52.92 Deletedinuse: 7
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 172686
% 52.59/52.92 Kept: 35050
% 52.59/52.92 Inuse: 740
% 52.59/52.92 Deleted: 434
% 52.59/52.92 Deletedinuse: 7
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 190169
% 52.59/52.92 Kept: 38768
% 52.59/52.92 Inuse: 775
% 52.59/52.92 Deleted: 434
% 52.59/52.92 Deletedinuse: 7
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying clauses:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 208143
% 52.59/52.92 Kept: 40790
% 52.59/52.92 Inuse: 788
% 52.59/52.92 Deleted: 883
% 52.59/52.92 Deletedinuse: 9
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 224223
% 52.59/52.92 Kept: 43492
% 52.59/52.92 Inuse: 810
% 52.59/52.92 Deleted: 884
% 52.59/52.92 Deletedinuse: 10
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 232556
% 52.59/52.92 Kept: 45495
% 52.59/52.92 Inuse: 834
% 52.59/52.92 Deleted: 886
% 52.59/52.92 Deletedinuse: 10
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 256643
% 52.59/52.92 Kept: 48020
% 52.59/52.92 Inuse: 863
% 52.59/52.92 Deleted: 886
% 52.59/52.92 Deletedinuse: 10
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 275266
% 52.59/52.92 Kept: 50115
% 52.59/52.92 Inuse: 913
% 52.59/52.92 Deleted: 892
% 52.59/52.92 Deletedinuse: 16
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 286742
% 52.59/52.92 Kept: 52133
% 52.59/52.92 Inuse: 948
% 52.59/52.92 Deleted: 892
% 52.59/52.92 Deletedinuse: 16
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 305820
% 52.59/52.92 Kept: 54316
% 52.59/52.92 Inuse: 983
% 52.59/52.92 Deleted: 892
% 52.59/52.92 Deletedinuse: 16
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 329857
% 52.59/52.92 Kept: 57649
% 52.59/52.92 Inuse: 998
% 52.59/52.92 Deleted: 892
% 52.59/52.92 Deletedinuse: 16
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 340272
% 52.59/52.92 Kept: 59889
% 52.59/52.92 Inuse: 1023
% 52.59/52.92 Deleted: 892
% 52.59/52.92 Deletedinuse: 16
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying clauses:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 351357
% 52.59/52.92 Kept: 62744
% 52.59/52.92 Inuse: 1037
% 52.59/52.92 Deleted: 1920
% 52.59/52.92 Deletedinuse: 16
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 367506
% 52.59/52.92 Kept: 64874
% 52.59/52.92 Inuse: 1077
% 52.59/52.92 Deleted: 1920
% 52.59/52.92 Deletedinuse: 16
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 376044
% 52.59/52.92 Kept: 67007
% 52.59/52.92 Inuse: 1102
% 52.59/52.92 Deleted: 1926
% 52.59/52.92 Deletedinuse: 17
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 391135
% 52.59/52.92 Kept: 69114
% 52.59/52.92 Inuse: 1131
% 52.59/52.92 Deleted: 1927
% 52.59/52.92 Deletedinuse: 17
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 411858
% 52.59/52.92 Kept: 71326
% 52.59/52.92 Inuse: 1151
% 52.59/52.92 Deleted: 1927
% 52.59/52.92 Deletedinuse: 17
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 426915
% 52.59/52.92 Kept: 73346
% 52.59/52.92 Inuse: 1172
% 52.59/52.92 Deleted: 1927
% 52.59/52.92 Deletedinuse: 17
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 456426
% 52.59/52.92 Kept: 76338
% 52.59/52.92 Inuse: 1208
% 52.59/52.92 Deleted: 1938
% 52.59/52.92 Deletedinuse: 25
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 462781
% 52.59/52.92 Kept: 78347
% 52.59/52.92 Inuse: 1215
% 52.59/52.92 Deleted: 1952
% 52.59/52.92 Deletedinuse: 34
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 472939
% 52.59/52.92 Kept: 80533
% 52.59/52.92 Inuse: 1238
% 52.59/52.92 Deleted: 1955
% 52.59/52.92 Deletedinuse: 37
% 52.59/52.92
% 52.59/52.92 Resimplifying clauses:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92 Resimplifying inuse:
% 52.59/52.92 Done
% 52.59/52.92
% 52.59/52.92
% 52.59/52.92 Intermediate Status:
% 52.59/52.92 Generated: 489482
% 52.59/52.92 Kept: 86017
% 52.59/52.92 Inuse: 1253
% 119.30/119.72 Deleted: 2813
% 119.30/119.72 Deletedinuse: 37
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 500615
% 119.30/119.72 Kept: 88222
% 119.30/119.72 Inuse: 1278
% 119.30/119.72 Deleted: 2813
% 119.30/119.72 Deletedinuse: 37
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 513735
% 119.30/119.72 Kept: 90277
% 119.30/119.72 Inuse: 1308
% 119.30/119.72 Deleted: 2813
% 119.30/119.72 Deletedinuse: 37
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 535198
% 119.30/119.72 Kept: 94071
% 119.30/119.72 Inuse: 1348
% 119.30/119.72 Deleted: 2813
% 119.30/119.72 Deletedinuse: 37
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 542547
% 119.30/119.72 Kept: 96097
% 119.30/119.72 Inuse: 1353
% 119.30/119.72 Deleted: 2813
% 119.30/119.72 Deletedinuse: 37
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 550015
% 119.30/119.72 Kept: 98414
% 119.30/119.72 Inuse: 1358
% 119.30/119.72 Deleted: 2813
% 119.30/119.72 Deletedinuse: 37
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 562740
% 119.30/119.72 Kept: 100421
% 119.30/119.72 Inuse: 1391
% 119.30/119.72 Deleted: 2815
% 119.30/119.72 Deletedinuse: 39
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying clauses:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 576039
% 119.30/119.72 Kept: 102443
% 119.30/119.72 Inuse: 1421
% 119.30/119.72 Deleted: 3731
% 119.30/119.72 Deletedinuse: 39
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 589697
% 119.30/119.72 Kept: 104598
% 119.30/119.72 Inuse: 1448
% 119.30/119.72 Deleted: 3732
% 119.30/119.72 Deletedinuse: 40
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 603814
% 119.30/119.72 Kept: 106755
% 119.30/119.72 Inuse: 1483
% 119.30/119.72 Deleted: 3732
% 119.30/119.72 Deletedinuse: 40
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 618246
% 119.30/119.72 Kept: 108775
% 119.30/119.72 Inuse: 1501
% 119.30/119.72 Deleted: 3732
% 119.30/119.72 Deletedinuse: 40
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 634268
% 119.30/119.72 Kept: 110825
% 119.30/119.72 Inuse: 1527
% 119.30/119.72 Deleted: 3735
% 119.30/119.72 Deletedinuse: 43
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 647584
% 119.30/119.72 Kept: 113028
% 119.30/119.72 Inuse: 1553
% 119.30/119.72 Deleted: 3735
% 119.30/119.72 Deletedinuse: 43
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 662723
% 119.30/119.72 Kept: 115191
% 119.30/119.72 Inuse: 1568
% 119.30/119.72 Deleted: 3735
% 119.30/119.72 Deletedinuse: 43
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 671293
% 119.30/119.72 Kept: 117365
% 119.30/119.72 Inuse: 1573
% 119.30/119.72 Deleted: 3736
% 119.30/119.72 Deletedinuse: 44
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 683741
% 119.30/119.72 Kept: 119379
% 119.30/119.72 Inuse: 1599
% 119.30/119.72 Deleted: 3736
% 119.30/119.72 Deletedinuse: 44
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying clauses:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 696716
% 119.30/119.72 Kept: 121404
% 119.30/119.72 Inuse: 1624
% 119.30/119.72 Deleted: 5533
% 119.30/119.72 Deletedinuse: 44
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 711486
% 119.30/119.72 Kept: 123699
% 119.30/119.72 Inuse: 1638
% 119.30/119.72 Deleted: 5533
% 119.30/119.72 Deletedinuse: 44
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 732735
% 119.30/119.72 Kept: 126868
% 119.30/119.72 Inuse: 1648
% 119.30/119.72 Deleted: 5533
% 119.30/119.72 Deletedinuse: 44
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 746587
% 119.30/119.72 Kept: 129149
% 119.30/119.72 Inuse: 1673
% 119.30/119.72 Deleted: 5535
% 119.30/119.72 Deletedinuse: 46
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 758895
% 119.30/119.72 Kept: 131606
% 119.30/119.72 Inuse: 1693
% 119.30/119.72 Deleted: 5535
% 119.30/119.72 Deletedinuse: 46
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 770179
% 119.30/119.72 Kept: 133659
% 119.30/119.72 Inuse: 1713
% 119.30/119.72 Deleted: 5535
% 119.30/119.72 Deletedinuse: 46
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 785856
% 119.30/119.72 Kept: 136062
% 119.30/119.72 Inuse: 1743
% 119.30/119.72 Deleted: 5535
% 119.30/119.72 Deletedinuse: 46
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 797502
% 119.30/119.72 Kept: 138458
% 119.30/119.72 Inuse: 1763
% 119.30/119.72 Deleted: 5535
% 119.30/119.72 Deletedinuse: 46
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72 Resimplifying inuse:
% 119.30/119.72 Done
% 119.30/119.72
% 119.30/119.72
% 119.30/119.72 Intermediate Status:
% 119.30/119.72 Generated: 807244
% 119.30/119.72 Kept: 140460
% 119.30/119.72 Inuse: 1779
% 220.71/221.12 Deleted: 5535
% 220.71/221.12 Deletedinuse: 46
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying clauses:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 818896
% 220.71/221.12 Kept: 142903
% 220.71/221.12 Inuse: 1798
% 220.71/221.12 Deleted: 6033
% 220.71/221.12 Deletedinuse: 46
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 827950
% 220.71/221.12 Kept: 144904
% 220.71/221.12 Inuse: 1813
% 220.71/221.12 Deleted: 6033
% 220.71/221.12 Deletedinuse: 46
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 844868
% 220.71/221.12 Kept: 147447
% 220.71/221.12 Inuse: 1816
% 220.71/221.12 Deleted: 6033
% 220.71/221.12 Deletedinuse: 46
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 863300
% 220.71/221.12 Kept: 150991
% 220.71/221.12 Inuse: 1833
% 220.71/221.12 Deleted: 6036
% 220.71/221.12 Deletedinuse: 49
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 869895
% 220.71/221.12 Kept: 153013
% 220.71/221.12 Inuse: 1855
% 220.71/221.12 Deleted: 6069
% 220.71/221.12 Deletedinuse: 82
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 881607
% 220.71/221.12 Kept: 155017
% 220.71/221.12 Inuse: 1864
% 220.71/221.12 Deleted: 6089
% 220.71/221.12 Deletedinuse: 102
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 891730
% 220.71/221.12 Kept: 157262
% 220.71/221.12 Inuse: 1878
% 220.71/221.12 Deleted: 6105
% 220.71/221.12 Deletedinuse: 118
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 900272
% 220.71/221.12 Kept: 159269
% 220.71/221.12 Inuse: 1897
% 220.71/221.12 Deleted: 6137
% 220.71/221.12 Deletedinuse: 150
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 908966
% 220.71/221.12 Kept: 161521
% 220.71/221.12 Inuse: 1913
% 220.71/221.12 Deleted: 6169
% 220.71/221.12 Deletedinuse: 182
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying clauses:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 919374
% 220.71/221.12 Kept: 163815
% 220.71/221.12 Inuse: 1933
% 220.71/221.12 Deleted: 11450
% 220.71/221.12 Deletedinuse: 206
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 930234
% 220.71/221.12 Kept: 166298
% 220.71/221.12 Inuse: 1953
% 220.71/221.12 Deleted: 11482
% 220.71/221.12 Deletedinuse: 238
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 937014
% 220.71/221.12 Kept: 168305
% 220.71/221.12 Inuse: 1972
% 220.71/221.12 Deleted: 11510
% 220.71/221.12 Deletedinuse: 266
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 944055
% 220.71/221.12 Kept: 170577
% 220.71/221.12 Inuse: 1988
% 220.71/221.12 Deleted: 11526
% 220.71/221.12 Deletedinuse: 282
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 957751
% 220.71/221.12 Kept: 173085
% 220.71/221.12 Inuse: 2012
% 220.71/221.12 Deleted: 11566
% 220.71/221.12 Deletedinuse: 321
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 974708
% 220.71/221.12 Kept: 175667
% 220.71/221.12 Inuse: 2022
% 220.71/221.12 Deleted: 11586
% 220.71/221.12 Deletedinuse: 341
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 987268
% 220.71/221.12 Kept: 177927
% 220.71/221.12 Inuse: 2032
% 220.71/221.12 Deleted: 11610
% 220.71/221.12 Deletedinuse: 365
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 1021560
% 220.71/221.12 Kept: 182618
% 220.71/221.12 Inuse: 2052
% 220.71/221.12 Deleted: 11642
% 220.71/221.12 Deletedinuse: 397
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying clauses:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 1054560
% 220.71/221.12 Kept: 184634
% 220.71/221.12 Inuse: 2060
% 220.71/221.12 Deleted: 18081
% 220.71/221.12 Deletedinuse: 409
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 1087326
% 220.71/221.12 Kept: 186658
% 220.71/221.12 Inuse: 2067
% 220.71/221.12 Deleted: 18089
% 220.71/221.12 Deletedinuse: 417
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 1108398
% 220.71/221.12 Kept: 190234
% 220.71/221.12 Inuse: 2092
% 220.71/221.12 Deleted: 18121
% 220.71/221.12 Deletedinuse: 449
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 1123687
% 220.71/221.12 Kept: 192662
% 220.71/221.12 Inuse: 2102
% 220.71/221.12 Deleted: 18145
% 220.71/221.12 Deletedinuse: 473
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 1135353
% 220.71/221.12 Kept: 195201
% 220.71/221.12 Inuse: 2117
% 220.71/221.12 Deleted: 18161
% 220.71/221.12 Deletedinuse: 489
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 1145554
% 220.71/221.12 Kept: 197240
% 220.71/221.12 Inuse: 2128
% 220.71/221.12 Deleted: 18185
% 220.71/221.12 Deletedinuse: 513
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12 Resimplifying inuse:
% 220.71/221.12 Done
% 220.71/221.12
% 220.71/221.12
% 220.71/221.12 Intermediate Status:
% 220.71/221.12 Generated: 1153746
% 220.71/221.12 Kept: 199654
% 220.71/221.12 Inuse: 2Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------