%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV638-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n013.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 : Wed Jul 20 16:27:20 EDT 2022

% Result   : Timeout 300.04s 300.41s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV638-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command  : bliksem %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % DateTime : Thu Jun 16 03:00:44 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.27/1.64  *** allocated 10000 integers for termspace/termends
% 1.27/1.64  *** allocated 10000 integers for clauses
% 1.27/1.64  *** allocated 10000 integers for justifications
% 1.27/1.64  *** allocated 15000 integers for termspace/termends
% 1.27/1.64  *** allocated 22500 integers for termspace/termends
% 1.27/1.64  *** allocated 33750 integers for termspace/termends
% 1.27/1.64  *** allocated 50625 integers for termspace/termends
% 1.27/1.64  Bliksem 1.12
% 1.27/1.64  
% 1.27/1.64  
% 1.27/1.64  Automatic Strategy Selection
% 1.27/1.64  
% 1.27/1.64  Clauses:
% 1.27/1.64  [
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.27/1.64    , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( 
% 1.27/1.64    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 1.27/1.64    , ~( 'c_SEQ_OBseq'( Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y, 
% 1.27/1.64    X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y
% 1.27/1.64    , X, X, 'tc_nat' ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.64    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.64    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64    , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.27/1.64    , X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.64    , X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.27/1.64     ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.27/1.64     ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.27/1.64     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.64    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.64    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.27/1.64    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.27/1.64     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.27/1.64     ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.27/1.64     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.27/1.64    , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.27/1.64     ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.27/1.64     ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.27/1.64    , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64    , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.64    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.27/1.64    'c_Series_Osummable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, 
% 1.27/1.64    X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.64    , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.27/1.64    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    T, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.27/1.64    Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.27/1.64    'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.27/1.64    , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ), 
% 1.27/1.64    ~( 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X )
% 1.27/1.64    , Z, X, 'tc_fun'( X, X ), Y ), U, Y, X, X ), T, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.27/1.64     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.27/1.64     [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.64    X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), T ), 
% 1.27/1.64    hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.64    X ), Y ) ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ) ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.64    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.27/1.64     ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.27/1.64    hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 1.27/1.64    ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.27/1.64    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X
% 1.27/1.64     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.64     ), Y ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.27/1.64    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.27/1.64    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.27/1.64     ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.27/1.64     ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.64    , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.64    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.27/1.64     ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.64    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.27/1.64     ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.27/1.64     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.27/1.64     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.27/1.64     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.27/1.64     [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), 
% 1.27/1.64    'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 1.27/1.64    ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP( 
% 1.27/1.64    hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, 
% 1.27/1.64    V0, V1 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP( 
% 1.27/1.64    hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, 
% 1.27/1.64    V0, V1 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ), 
% 1.27/1.64    hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.27/1.64    , V0, V1 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ), 
% 1.27/1.64    hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.27/1.64    , V0, V1 ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.27/1.64    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.27/1.64    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.27/1.64    X ), T ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.27/1.64     ), =( Z, Y ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.64    , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.27/1.64    , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~( 
% 1.27/1.64    'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~( 
% 1.27/1.64    'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.27/1.64    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.64    , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.27/1.64    , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.64     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.27/1.64     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.27/1.64    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'( 
% 1.27/1.64    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 1.27/1.64    , ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.27/1.64     ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.64     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.64     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.64     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.27/1.64    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Oreal__normed__div__algebra'( Y ) ), 'c_Lim_OisCont'( 
% 1.27/1.64    'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( Y ), Z, Y, Y, X ), T, X, Y )
% 1.27/1.64    , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( Y ) ), ~( 'c_Lim_OisCont'( 
% 1.27/1.64    Z, T, X, Y ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.27/1.64     ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.27/1.64    , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.27/1.64    X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.64    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Oone__class_Oone'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.27/1.64     ), Y ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) )
% 1.27/1.64    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Y ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Z ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Y ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), Z ), Y ), X ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ), 
% 1.27/1.64    ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.27/1.64     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    'tc_nat' ) ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.27/1.64     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.27/1.64    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.27/1.64    , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.27/1.64     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.27/1.64     ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.27/1.64     ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.27/1.64    hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.27/1.64    , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.27/1.64    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), T ), Z ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), T ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), T ), Z, X ) ) ],
% 1.27/1.64     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', 
% 1.27/1.64    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.27/1.64    hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 
% 1.27/1.64    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.27/1.64    , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.64    X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.64    X ), Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ), 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 
% 1.27/1.64    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.27/1.64    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.27/1.64    X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.27/1.64    , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.27/1.64    , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~( 
% 1.27/1.64    'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP( 
% 1.27/1.64    hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.27/1.64    , V0, U, V1 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP( 
% 1.27/1.64    hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.27/1.64    , V0, U, V1 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ), 
% 1.27/1.64    Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.27/1.64    X, T, U, Y, W, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.27/1.64    X, T, U, Z, W, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.27/1.64    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 1.27/1.64    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.27/1.64    'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.27/1.64    T, X, U, Y, W, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.27/1.64    T, X, U, Z, W, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.27/1.64    T, X, U, W, Y, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.27/1.64    T, X, U, W, Z, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.27/1.64    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 1.27/1.64    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.27/1.64    , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ), 
% 1.27/1.64    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.27/1.64    , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ), 
% 1.27/1.64    ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 1.27/1.64    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.27/1.64    , V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.27/1.64    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 1.27/1.64    W, V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.27/1.64    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.27/1.64    , V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.27/1.64    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, 
% 1.27/1.64    W, V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.27/1.64    , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ), 
% 1.27/1.64    ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.27/1.64    hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 1.27/1.64    W, V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ), 
% 1.27/1.64    hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, 
% 1.27/1.64    W, V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP( 
% 1.27/1.64    hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.27/1.64    , V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.27/1.64    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.27/1.64    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.27/1.64    , V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.27/1.64    X, T, U, Y, W, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.27/1.64    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.27/1.64    , V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.27/1.64    'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.27/1.64    T, X, U, Y, W, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'( 
% 1.27/1.64    T, X, U, W, Y, V0 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP( 
% 1.27/1.64    hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.27/1.64    , V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~( 
% 1.27/1.64    'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP( 
% 1.27/1.64    hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~( 
% 1.27/1.64    'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP( 
% 1.27/1.64    hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~( 
% 1.27/1.64    'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.27/1.64    'c_Deriv_Odifferentiable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.27/1.64    , Y, X, X, X ), Z, X ), ~( 'c_Deriv_Odifferentiable'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.27/1.64    , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.27/1.64    , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.27/1.64    , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.27/1.64     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), Y ), T ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.27/1.64    Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.64    X ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.27/1.64    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.27/1.64     ), Y ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.64     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.64     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.64     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.64     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.27/1.64     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.27/1.64    X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.27/1.64    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.27/1.64    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z, 
% 1.27/1.64    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OisCont'( 
% 1.27/1.64    Z, T, X, Y ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ), 
% 1.27/1.64    ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T )
% 1.27/1.64    , X, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.64    , Y ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.64    X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.64    X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.64    X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.27/1.64    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.64    X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.27/1.64    , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), 
% 1.27/1.64    Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    T, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.64    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.27/1.64     ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64    , Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), 
% 1.27/1.64    Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.27/1.64    , Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.27/1.64     ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.27/1.64     ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.64    , 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.64    , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.27/1.64     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.27/1.64    , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.27/1.64     ), X ) ) ],
% 1.27/1.64     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.27/1.64    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP( 
% 1.27/1.64    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.64     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.27/1.64    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.27/1.64    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.64    , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.27/1.64     ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.27/1.64     ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.64    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.64    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y, 
% 1.27/1.64    X ), ~( 'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ), 
% 1.27/1.64    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, 
% 1.27/1.64    X, Z ), T, Z, X ) ) ],
% 1.27/1.64     [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.27/1.64     ) ],
% 1.27/1.64     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.27/1.64    , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~( 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.27/1.64     ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OCauchy'( Y, X ), 
% 1.27/1.64    ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T, 
% 1.27/1.64    U, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.27/1.64     ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.27/1.64     ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.27/1.64    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.64    hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.64    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'tc_nat' ), 
% 1.27/1.64    'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.27/1.64    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    T, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.27/1.64     ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber__ring'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.27/1.64     ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.64    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.27/1.64     [ =( 'c_Int_Osucc'( 'c_Int_OMin' ), 'c_Int_OPls' ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.27/1.64    , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Ometric__space'( Y ) ), ~( 
% 1.27/1.64    'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U, 
% 1.27/1.64    X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.27/1.64    , ~( 'c_Lim_OisCont'( T, V0, X, Y ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.27/1.64    'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'( 
% 1.27/1.64    'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.64    Y, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.27/1.64     ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.27/1.64    X ), Y ), Z ) ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), U, X
% 1.27/1.64     ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.27/1.64    Y ), T, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.27/1.64    'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~( 
% 1.27/1.64    'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.27/1.64     ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.27/1.64    , X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.64    X ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.27/1.64    Z, 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.64    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.27/1.64    Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.27/1.64    X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.27/1.64     ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.27/1.64     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.27/1.64    , X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), 
% 1.27/1.64    Z, X ) ) ],
% 1.27/1.64     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP( 
% 1.27/1.64    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Z, X, X, Y ), T, hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), U ), Y, X ), =( U, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Lim_OLIM'( Z, T, U, Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.64    'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'( 
% 1.27/1.64    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( Y ), Z, Y, Y, X ), T, X, Y ), 
% 1.27/1.64    ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.27/1.64     ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.27/1.64     ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.27/1.64     ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.27/1.64    , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.64    X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.27/1.64     ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.27/1.64     ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.64    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.64     [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.27/1.64    , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.27/1.64     ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.27/1.64     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.27/1.64     ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.27/1.64     ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.27/1.64     ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Y ) ), Z ), X ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.27/1.64     ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.27/1.64     ), T ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.64    X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.64    X ), Y ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.27/1.64     ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64    , X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    X ) ) ],
% 1.27/1.64     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.64    'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.27/1.64    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.64    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.27/1.64     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.27/1.64    X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.64    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.64    , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.27/1.64    'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.27/1.64    'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 
% 1.27/1.64    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ), 
% 1.27/1.64    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 
% 1.27/1.64    ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ), 
% 1.27/1.64    ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.64    X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.27/1.64     ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.27/1.64    , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ) ) ],
% 1.27/1.64     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ), 
% 1.27/1.64    'tc_Int_Oint' ) ) ],
% 1.27/1.64     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ), 
% 1.27/1.64    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 
% 1.27/1.64    'tc_Int_Oint' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.27/1.64     ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.27/1.64     ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.27/1.64     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ), 
% 1.27/1.64    'tc_Int_Oint' ) ) ],
% 1.27/1.64     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ), 
% 1.27/1.64    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 
% 1.27/1.64    'tc_Int_Oint' ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.27/1.64    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.27/1.64    hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), 
% 1.27/1.64    'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), 
% 1.27/1.64    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.27/1.64    , X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.27/1.64     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.27/1.64     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.27/1.64    ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ), 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.27/1.64    , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.27/1.64     ), T ), U ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.27/1.64    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    Z, X ) ), ~( 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X )
% 1.27/1.64    , Z ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( Z, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.27/1.64    'c_Deriv_Odifferentiable'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.27/1.64     ), Y, X, X, X ), Z, X ), =( hAPP( Y, Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ) ), ~( 'c_Deriv_Odifferentiable'( Y, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'( 
% 1.27/1.64    'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( 
% 1.27/1.64    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.27/1.64     ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.27/1.64    , Z, X ), ~( 'c_SEQ_OZseq'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z
% 1.27/1.64    , 'tc_nat', X, X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( 
% 1.27/1.64    'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, X, X ), Z, hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.64    , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.27/1.64     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.27/1.64     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.64    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.27/1.64     ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.64    , 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ) ) ],
% 1.27/1.64     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP( 
% 1.27/1.64    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.64     ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.27/1.64     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64     ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.27/1.64     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.27/1.64     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.64    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.64    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.27/1.64    , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.27/1.64    , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.27/1.64    , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.64    , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.27/1.64     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.27/1.64    , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.64    X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.64    X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.64    X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.64    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.64    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.27/1.64     ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64     ) ), =( 'c_Finite__Set_Osetsum'( Y, 
% 1.27/1.64    'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ), 
% 1.27/1.64    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.64    , X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.27/1.64     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.27/1.64     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 
% 1.27/1.64    'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.64    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 
% 1.27/1.64    'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.64    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.27/1.64    'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.64    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.64     ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.64     ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 
% 1.27/1.64    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.64     ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.64     ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ) ) ), =( Y, Z ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ) ) ), =( Y, Z ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.64    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.64    Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.64    Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.64    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.64    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.27/1.64    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.64     ), X ) ) ],
% 1.27/1.64     [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.27/1.64    , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.27/1.64    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.27/1.64    , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.64    , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.64    X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.27/1.64    X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y, 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.64     ) ), 'c_Series_Osums'( Y, Z, X ), ~( 'c_Series_Osums'( 'c_COMBB'( Y, 
% 1.27/1.64    'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'( 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), 
% 1.27/1.64    'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X ), Y, X, 
% 1.27/1.64    X, 'tc_nat' ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), =( 
% 1.27/1.64    Z, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), 
% 1.27/1.64    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.27/1.64     ), 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.64    , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.64    X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.64     ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.64    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.64    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.64     ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.27/1.64    , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.27/1.64    X ), T ), Y ) ), Z, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.27/1.64     ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.64    , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.27/1.64     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.64    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.64    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.64    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), ~( 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.64    ,
% 1.27/1.64     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.64    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.64    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.65    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc', 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.65    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.27/1.65    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin', 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin', 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), 'c_Lim_OLIM'( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y, hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X, X ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.27/1.65    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), X ) ), ~( 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X )
% 1.27/1.65    , Z ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_lessequals'( Z, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OisCont'( 
% 1.27/1.65    'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, X, X ), Z, X, X )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.65     ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.65    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.65    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.65    X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.65    , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.27/1.65     [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.27/1.65     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.65    'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.27/1.65     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.27/1.65    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.27/1.65     ), Y ) ) ],
% 1.27/1.65     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP( 
% 1.27/1.65    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.27/1.65    'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 
% 1.27/1.65    'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), T ), 'c_Finite__Set_Osetsum'( Y, 
% 1.27/1.65    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), X ), ~( 'c_Series_Osums'( Y, 
% 1.27/1.65    T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'( 
% 1.27/1.65    'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.27/1.65    'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ), 
% 1.27/1.65    Y ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.65    'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Z ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.65    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.65     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.65     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.65    , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.27/1.65    X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.27/1.65    X ), Y ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.27/1.65     ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.27/1.65     ), Y ), X ) ) ],
% 1.27/1.65     [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.27/1.65    , X ) ) ],
% 1.27/1.65     [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.27/1.65    , Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.27/1.65    , Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.65    , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.65    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), X ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.27/1.65     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.27/1.65     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.27/1.65     ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.27/1.65    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65    , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.27/1.65    , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65    , X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.27/1.65    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.27/1.65    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.65    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.27/1.65    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.65     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.27/1.65    ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.27/1.65     ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.27/1.65     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OMin', 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.27/1.65    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.27/1.65    , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.27/1.65    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.27/1.65    ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.27/1.65    , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.27/1.65    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.65    , 'tc_nat' ), 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.27/1.65    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ) ) ],
% 1.27/1.65     [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.27/1.65     [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL( 
% 1.27/1.65    hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.65     [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.27/1.65    , 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'( 
% 1.27/1.65    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.65    X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.27/1.65    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.27/1.65    Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.27/1.65    'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.27/1.65    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.27/1.65     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.65     ), Y ), T ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.27/1.65    Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), T ), Z ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), Y ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ) ) ],
% 1.27/1.65     [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), Y ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), Y ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.65     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.27/1.65    'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.65     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.27/1.65    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.27/1.65    , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.27/1.65    Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.27/1.65    Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 1.27/1.65    ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ), 
% 1.27/1.65    ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 1.27/1.65    ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), 
% 1.27/1.65    ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.27/1.65    'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.27/1.65    , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.27/1.65    , 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.27/1.65     ) ), 'c_Finite__Set_Osetsum'( Y, 
% 1.27/1.65    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U, 
% 1.27/1.65    X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.27/1.65    , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OisCont'( 'c_COMBB'( T, 
% 1.27/1.65    U, Z, Y, X ), W, X, Y ), ~( 'c_Lim_OisCont'( T, hAPP( U, W ), Z, Y ) ), 
% 1.27/1.65    ~( 'c_Lim_OisCont'( U, W, X, Z ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.27/1.65    'c_Deriv_Odifferentiable'( 'c_COMBB'( Y, Z, X, X, X ), T, X ), ~( 
% 1.27/1.65    'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'( Y, 
% 1.27/1.65    hAPP( Z, T ), X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z, 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.27/1.65    , T, hAPP( Z, T ), X, Y ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.27/1.65     ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( 
% 1.27/1.65    Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y, 
% 1.27/1.65    X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.27/1.65    , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 1.27/1.65     ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.27/1.65     ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.65    X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.27/1.65     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.27/1.65     ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.65    , Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.27/1.65     ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.27/1.65     [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.27/1.65     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.27/1.65    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_Series_Osums'( Y, Z
% 1.27/1.65    , X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.27/1.65    , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y, X, X, 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.27/1.65    , X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.27/1.65    'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, 
% 1.27/1.65    X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.27/1.65     ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.27/1.65     ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.27/1.65    , X ) ) ],
% 1.27/1.65     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', 
% 1.27/1.65    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.27/1.65    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~( 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65    , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.27/1.65     ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), 
% 1.27/1.65    ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.27/1.65     ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), 
% 1.27/1.65    Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, 
% 1.27/1.65    X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 
% 1.27/1.65    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.27/1.65    , T ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.27/1.65     ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.27/1.65    , X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.27/1.65     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OMin', 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 1.27/1.65    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), 
% 1.27/1.65    'c_SEQ_OBseq'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X ), Y, X, X
% 1.27/1.65    , 'tc_nat' ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.27/1.65    'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    'tc_Int_Oint' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    'tc_Int_Oint' ), Z ), Y ), 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    X, Z, 'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.65    , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.27/1.65    , X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.65    , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.27/1.65    , X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.27/1.65    'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.27/1.65     ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.27/1.65     ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~( 
% 1.27/1.65    'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.27/1.65     ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc', 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.27/1.65     ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65    , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.65     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.27/1.65     ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.27/1.65     ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ), 
% 1.27/1.65    ~( 'c_Lim_OLIM'( Z, T, hAPP( Z, T ), X, Y ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.27/1.65     ), X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'( 
% 1.27/1.65    Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.65    X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.65    X ), Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ), 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.65     ), Y ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.27/1.65    X ), Y ), Z ) ), T, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.27/1.65    Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'( 
% 1.27/1.65    'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65     ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65     ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.27/1.65    Y ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), 
% 1.27/1.65    Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.27/1.65     ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.27/1.65    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ), 
% 1.27/1.65    'c_lessequals'( Z, Y, X ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.27/1.65    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.27/1.65    , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.27/1.65    , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.65    , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), Y ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.27/1.65    'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.65     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.27/1.65     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.27/1.65    'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ), 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), Z ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.27/1.65    , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.27/1.65    , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.27/1.65    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.27/1.65     ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.27/1.65    , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.27/1.65    Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), X ) ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T, 
% 1.27/1.65    U, W, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.27/1.65    , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.27/1.65    , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.65    X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.65    X ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.65    X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    X ), Y ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.65     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.27/1.65     ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.27/1.65     ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~( 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Z ), U ) ), W ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.27/1.65     ), W, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~( 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Z ), T ) ), W ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.27/1.65     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.27/1.65     ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.27/1.65     ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.27/1.65     ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.65     ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.65     ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.27/1.65    , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.65     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), 
% 1.27/1.65    ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.65     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), 
% 1.27/1.65    ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.27/1.65     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.27/1.65     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.65     ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.65     ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.27/1.65     ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 
% 1.27/1.65    'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.27/1.65     ), Y ) ), Z ) ), Z ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.27/1.65    'c_lessequals'( Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.27/1.65    'c_lessequals'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.27/1.65    , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 
% 1.27/1.65    'c_lessequals'( Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), 
% 1.27/1.65    'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~( 
% 1.27/1.65    'c_lessequals'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.65    X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.27/1.65    , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.27/1.65    X ), Y ), Z ) ), Z ), Y ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    Y ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.27/1.65    Y ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    Y ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.65    X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.27/1.65    Y ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.27/1.65    Y ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    Y ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 
% 1.27/1.65    Y ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    X ), Y ), Z ) ), Z ), Y ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.27/1.65    , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.27/1.65    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.27/1.65    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , X ) ), Z ) ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.27/1.65    X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.27/1.65     ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) )
% 1.27/1.65    , T ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~( 
% 1.27/1.65    'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~( 
% 1.27/1.65    'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 
% 1.27/1.65    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), 'c_HOL_Oone__class_Oone'( X
% 1.27/1.65     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.65    X ), Y ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( 
% 1.27/1.65    X ), Y ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( 
% 1.27/1.65    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.27/1.65     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    Y, Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.27/1.65     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.65     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.65     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.27/1.65     ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, 
% 1.27/1.65    X, X ), Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.27/1.65     ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, 
% 1.27/1.65    X, X ), Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.27/1.65    'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ), 
% 1.27/1.65    Y ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), W
% 1.27/1.65     ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.27/1.65     ), =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.65    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'( 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.65     ), Y ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.65     ) ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), T ), Z ) ), U ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.65    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.27/1.65     ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.27/1.65     ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.27/1.65     ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.27/1.65     ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.27/1.65     ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ), T ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.27/1.65     ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'( X
% 1.27/1.65     ) ) ), =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), Z ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.27/1.65    , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'( 
% 1.27/1.65    'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, X, X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'( 
% 1.27/1.65    'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'( 
% 1.27/1.65    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.27/1.65    'tc_nat' ), X ), ~( 'c_SEQ_OCauchy'( Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.27/1.65    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.27/1.65    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'( 
% 1.27/1.65    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.27/1.65    'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'( 
% 1.27/1.65    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.27/1.65    'tc_nat' ), X ), ~( 'c_SEQ_OZseq'( Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.27/1.65    'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.27/1.65    'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.27/1.65    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.27/1.65    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.27/1.65    'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, 
% 1.27/1.65    'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.27/1.65    , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.27/1.65    'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.27/1.65     ) ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OBit1'( Y ), X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), 'c_Int_Oiszero'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.27/1.65     ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.65    Y ), X ), X ), ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.27/1.65     ) ), 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.27/1.65    ~( 'c_Int_Oiszero'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y
% 1.27/1.65     ), X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.27/1.65    , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.65    , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.27/1.65     ) ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.27/1.65    X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 1.27/1.65    X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.27/1.65    , T ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.27/1.65     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls', 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ =( 'c_Int_Osucc'( 'c_Int_OPls' ), 'c_Int_OBit1'( 'c_Int_OPls' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), 
% 1.27/1.65    hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 
% 1.27/1.65    'c_Int_OBit0'( X ) ), 'c_Int_OBit1'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.27/1.65     [ =( 'c_Int_Osucc'( 'c_Int_OBit0'( X ) ), 'c_Int_OBit1'( X ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 
% 1.27/1.65    'c_Int_OBit1'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.27/1.65     [ =( 'c_Int_Osucc'( 'c_Int_OBit1'( X ) ), 'c_Int_OBit0'( 'c_Int_Osucc'( 
% 1.27/1.65    X ) ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls', 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls', 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ), 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ), 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.27/1.65     ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.27/1.65     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.27/1.65     ) ],
% 1.27/1.65     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.27/1.65    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'( 
% 1.27/1.65    'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.27/1.65    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y, 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y, 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y, 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.27/1.65     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.27/1.65     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.27/1.65     ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.65    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.27/1.65    'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.27/1.65     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.27/1.65    'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.27/1.65     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 
% 1.27/1.65    'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.65    'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.65     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.65    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.65    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.27/1.65     ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_Osucc'( X ), 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_Osucc'( X ), 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.27/1.65    , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 
% 1.27/1.65    'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.27/1.65    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.27/1.65     [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.27/1.65     [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.27/1.65     ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.27/1.65    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.27/1.65    , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.27/1.65     ), Y ), Y ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), 
% 1.27/1.65    ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.27/1.65     ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP( 
% 1.27/1.65    T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~( 
% 1.27/1.65    'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.27/1.65     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.27/1.65    'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.27/1.65    , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 1.27/1.65     ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.27/1.65     ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X, 
% 1.27/1.65    X ), Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.27/1.65     ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X, 
% 1.27/1.65    X ), Z, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_Divides_Osemiring__div'( X ) ), =( 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.27/1.65    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.27/1.65     ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.27/1.65     ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.27/1.65     ), T ) ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.27/1.65     ), Z ) ), T ) ) ],
% 1.27/1.65     [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.27/1.65     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.27/1.65     [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.27/1.65     [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.27/1.65     [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls', 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 
% 1.27/1.65    'c_Int_OPls' ), X ), X ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), 
% 1.27/1.65    'c_Int_OPls' ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Z ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 1.27/1.65    =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.27/1.65     ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.27/1.65    X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 
% 1.27/1.65    'c_Int_OBit1'( X ) ), 'c_Int_OBit1'( Y ) ), 'c_Int_OBit0'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), 'c_Int_Osucc'( Y ) ) )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.27/1.65     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ), 
% 1.27/1.65    'tc_Int_Oint' ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 
% 1.27/1.65    'c_Int_OBit0'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit0'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.27/1.65     [ =( 'c_Int_OBit0'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    'tc_Int_Oint' ), X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.65    , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.27/1.65    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.27/1.65     ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.65    , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.27/1.65    'class_Power_Opower'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.27/1.65     ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.27/1.65     ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.65    'tc_nat' ) ), Y ) ],
% 1.27/1.65     [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.27/1.65    , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.27/1.65    , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.27/1.65    'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    'tc_nat' ), X ), Y ) ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.27/1.65    X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    'tc_nat' ), X ), Y ) ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.27/1.65    X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( 
% 1.27/1.65    'c_Suc', Y ) ) ) ],
% 1.27/1.65     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.27/1.65     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.27/1.65     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.27/1.65     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.27/1.65    'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.27/1.65    , Z, 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.27/1.65    'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.27/1.65    , Z, 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.27/1.65    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( 
% 1.27/1.65    Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OZseq'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.27/1.65    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( 
% 1.27/1.65    Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OCauchy'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.27/1.65    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 
% 1.27/1.65    'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.27/1.65    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( 
% 1.27/1.65    Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 
% 1.27/1.65    'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( 
% 1.27/1.65    Y, T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( 
% 1.27/1.65    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, 
% 1.27/1.65    T, X ) ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.27/1.65     [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), 
% 1.27/1.65    'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y, 
% 1.27/1.65    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.27/1.65    , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.27/1.65    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.27/1.65     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 
% 1.27/1.65    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~( 
% 1.27/1.65    'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 
% 1.27/1.65    'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.27/1.65    , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ) ), Y ) ) ],
% 1.27/1.65     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( 
% 1.27/1.65    'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    'tc_nat' ), X ), Y ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) )
% 1.27/1.65     ],
% 1.27/1.65     [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ), 
% 1.27/1.65    ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.27/1.65     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'( 
% 1.27/1.65    'tc_nat' ), 'tc_nat' ) ) ],
% 1.27/1.65     [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.27/1.65    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.27/1.65    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.27/1.65    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.27/1.65     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 
% 1.27/1.65    'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 
% 1.27/1.65    'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), 
% 1.27/1.65    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y, 
% 1.27/1.65    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( 
% 1.27/1.65    Z, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y ), T, Y, Y, Y ), Y, X, Y ), 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~( 
% 1.27/1.65    'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.27/1.65    'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.27/1.65    , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.65    'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.27/1.65    'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'( 
% 1.27/1.65    'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.27/1.65    , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 
% 1.27/1.65    'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.27/1.65    , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( 
% 1.27/1.65    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_Osucc'( Y ), X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.27/1.65     [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.27/1.65    , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.27/1.65     ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( 
% 1.27/1.65    hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.65    X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.27/1.65    hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( 
% 1.27/1.65    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.27/1.65     ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Int_Onumber__ring'( X ) ), ~( 'c_Int_Oiszero'( 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.27/1.65     ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.27/1.65    , Y ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Odivide'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.27/1.65    , Y ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.27/1.65    'class_Int_Onumber__ring'( X ) ), =( hAPP( 
% 1.27/1.65    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.65    'c_Int_OBit1'( 'c_Int_OPls' ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 
% 1.27/1.65    hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.65    X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.65    X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.27/1.65    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.65    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.27/1.65    ,
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.65    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.65    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.27/1.65    'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.27/1.65    'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'( 
% 1.27/1.65    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.27/1.65     ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.65    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.27/1.65    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Y, X ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.27/1.65    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OZseq'( Y, X ) )
% 1.27/1.65     ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.27/1.65    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, 
% 1.27/1.65    T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.27/1.65    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 'c_SEQ_OCauchy'( Y, X )
% 1.27/1.65     ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.27/1.65    'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 
% 1.27/1.65    'c_Series_Osummable'( Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.27/1.65    'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.65    X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~( 
% 1.27/1.65    'c_Series_Osummable'( Y, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.27/1.65    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.27/1.65    , T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( 
% 1.27/1.65    X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.27/1.65    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.27/1.65    , T, X ) ) ],
% 1.27/1.65     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.27/1.65    'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.27/1.66    , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.27/1.66    , X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.27/1.66    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'( 
% 1.27/1.66    'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), ~( 
% 1.27/1.66    'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~( 
% 1.27/1.66    'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ), 
% 1.27/1.66    'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.27/1.66     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.66    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 
% 1.27/1.66    'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.27/1.66    , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ) ), 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( 
% 1.27/1.66    'class_RealVector_Oreal__normed__algebra'( Y ) ), ~( 'class_Power_Opower'( 
% 1.27/1.66    Y ) ), 'c_Lim_OisCont'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( Y ), Z, Y, 'tc_fun'( 'tc_nat', Y ), X ), 
% 1.27/1.66    T, X, 'tc_nat', Y ), U, X, Y ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.27/1.66    'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.27/1.66    , 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X )
% 1.27/1.66    , Z, X, 'tc_fun'( 'tc_nat', X ), Y ), T, Y, 'tc_nat', X ), U, hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 1.27/1.66    , U, W, Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 
% 1.27/1.66    'c_Deriv_Odifferentiable'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ), X ), 
% 1.27/1.66    Z, X, 'tc_nat', X ), T, X ), ~( 'c_Deriv_Odifferentiable'( Y, T, X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~( 
% 1.27/1.66    'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ), 
% 1.27/1.66    'tc_nat' ), Z, 'tc_nat', 'tc_nat', X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.27/1.66    , T, X ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y, 
% 1.27/1.66    X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( Y, 'c_COMBC'( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.27/1.66    , 'tc_nat', X, 'tc_nat' ), X ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( 
% 1.27/1.66    'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 
% 1.27/1.66    'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X ), ~( 
% 1.27/1.66    'c_SEQ_OBseq'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.27/1.66     ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.27/1.66    , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.27/1.66    'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 
% 1.27/1.66    'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~( 
% 1.27/1.66    'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.27/1.66    'c_Series_Osummable'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X
% 1.27/1.66     ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.66    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP( 
% 1.27/1.66    'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.27/1.66    'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.27/1.66    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( 
% 1.27/1.66    Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ), 
% 1.27/1.66    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.66    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( 
% 1.27/1.66    'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.27/1.66     ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.27/1.66    , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat', 
% 1.27/1.66    'tc_nat' ), 'tc_nat', X, 'tc_nat' ), 
% 1.27/1.66    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.27/1.66    'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.27/1.66    , X, Z, U, W, V0 ) ) ],
% 1.27/1.66     [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 
% 1.27/1.66    'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 
% 1.27/1.66    'tc_Int_Oint' ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_Int_OPls'
% 1.27/1.66     ) ), Y ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.27/1.66     ) ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), 
% 1.27/1.66    'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.27/1.66    'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.27/1.66    X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.66    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.66    X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.66    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.27/1.66    , Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.27/1.66    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.27/1.66     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.27/1.66     [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.27/1.66     [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.66    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP( 
% 1.27/1.66    hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~( 
% 1.27/1.66    'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.27/1.66     [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.27/1.66     ) ), 'c_Complex_Oii' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.27/1.66    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.27/1.66    =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.66    X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( 
% 1.27/1.66    X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 
% 1.27/1.66    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.27/1.66    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.27/1.66     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.27/1.66    , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.66    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), 
% 1.27/1.66    'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    'tc_nat' ), Y ), Z ) ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'( 
% 1.27/1.66    X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.27/1.66     [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.27/1.66    Y ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ), Y ) ],
% 1.27/1.66     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.27/1.66    , Z ) ],
% 1.27/1.66     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.27/1.66    , Z ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.66    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.27/1.66     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.66    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.27/1.66     ) ) ), =( Z, U ), =( Y, T ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.66     ) ), Z ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.27/1.66    X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.27/1.66     [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.27/1.66     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y, 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X, 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.27/1.66    , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.66    X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.27/1.66     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.66    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.66    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 
% 1.27/1.66    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.27/1.66     ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.27/1.66    , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.27/1.66     [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.27/1.66    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 
% 1.27/1.66    'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.27/1.66     [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.27/1.66     ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.27/1.66     ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Z ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.27/1.66    , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), Y ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OPls', X ) ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.27/1.66    , Y ) ],
% 1.27/1.66     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.66    Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.27/1.66    Y ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.27/1.66    Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.27/1.66    Y ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.27/1.66    Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 
% 1.27/1.66    Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.66    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.27/1.66    X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.27/1.66     ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.27/1.66     [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.27/1.66    hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.27/1.66    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.27/1.66    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 
% 1.27/1.66    hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 
% 1.27/1.66    hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.27/1.66     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.27/1.66    X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.27/1.66    , X ) ), T ) ) ) ],
% 1.27/1.66     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.27/1.66     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.27/1.66     ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.27/1.66     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP( 
% 1.27/1.66    'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 
% 1.27/1.66    'tc_nat' ), X ), X ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.27/1.66    'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.27/1.66     [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( X ), Y ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.27/1.66    , Y ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.27/1.66     [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.27/1.66     [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 
% 1.27/1.66    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.27/1.66     [ ~( =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'v_a', 'v_i' ), hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ), 
% 1.27/1.66    'c_FFT__Mirabelle_ODFT'( 'v_m', 'c_COMBB'( 'v_a', hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.27/1.66     ), 'v_i' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.27/1.66    'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.27/1.66    'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_i' ) ), 
% 1.27/1.66    'c_FFT__Mirabelle_ODFT'( 'v_m', 'c_COMBB'( 'v_a', 'c_COMBC'( 'c_COMBB'( 
% 1.27/1.66    'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 
% 1.27/1.66    'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 
% 1.27/1.66    'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'( 
% 1.27/1.66    'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.27/1.66    , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat', 
% 1.27/1.66    'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'v_i' ) ) ) ) )
% 1.27/1.66     ],
% 1.27/1.66     [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~( 
% 1.27/1.66    'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.27/1.66     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.27/1.66    'class_Orderings_Opreorder'( Y ) ) ],
% 1.27/1.66     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.27/1.66    'class_Orderings_Oorder'( Y ) ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.27/1.66     ],
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.27/1.66     ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.27/1.66     ],
% 1.27/1.66     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.27/1.66    'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.27/1.66    'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.27/1.66    'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.27/1.66     ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.27/1.66     ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 1.27/1.66    'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.27/1.66    'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.27/1.66    'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.27/1.66     ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.27/1.66     ],
% 1.27/1.66     [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.27/1.66     ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.27/1.66     ],
% 1.27/1.66     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.27/1.66     ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.27/1.66     [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.27/1.66    ,
% 1.27/1.66     [ 'c_fequal'( X, X, Y ) ],
% 1.27/1.66     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.27/1.66  ] .
% 1.27/1.66  
% 1.27/1.66  
% 1.27/1.66  percentage equality = 0.214948, percentage horn = 0.837627
% 1.27/1.66  This is a problem with some equality
% 1.27/1.66  
% 1.27/1.66  
% 1.27/1.66  
% 1.27/1.66  Options Used:
% 1.27/1.66  
% 1.27/1.66  useres =            1
% 1.27/1.66  useparamod =        1
% 1.27/1.66  useeqrefl =         1
% 1.27/1.66  useeqfact =         1
% 1.27/1.66  usefactor =         1
% 1.27/1.66  usesimpsplitting =  0
% 1.27/1.66  usesimpdemod =      5
% 1.27/1.66  usesimpres =        3
% 1.27/1.66  
% 1.27/1.66  resimpinuse      =  1000
% 1.27/1.66  resimpclauses =     20000
% 1.27/1.66  substype =          eqrewr
% 1.27/1.66  backwardsubs =      1
% 1.27/1.66  selectoldest =      5
% 1.27/1.66  
% 1.27/1.66  litorderings [0] =  split
% 1.27/1.66  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.27/1.66  
% 1.27/1.66  termordering =      kbo
% 1.27/1.66  
% 1.27/1.66  litapriori =        0
% 1.27/1.66  termapriori =       1
% 1.27/1.66  litaposteriori =    0
% 1.27/1.66  termaposteriori =   0
% 1.27/1.66  demodaposteriori =  0
% 1.27/1.66  ordereqreflfact =   0
% 1.27/1.66  
% 1.27/1.66  litselect =         negord
% 1.27/1.66  
% 1.27/1.66  maxweight =         15
% 1.27/1.66  maxdepth =          30000
% 1.27/1.66  maxlength =         115
% 1.27/1.66  maxnrvars =         195
% 1.27/1.66  excuselevel =       1
% 1.27/1.66  increasemaxweight = 1
% 1.27/1.66  
% 1.27/1.66  maxselected =       10000000
% 1.27/1.66  maxnrclauses =      10000000
% 1.27/1.66  
% 1.27/1.66  showgenerated =    0
% 1.27/1.66  showkept =         0
% 1.27/1.66  showselected =     0
% 1.27/1.66  showdeleted =      0
% 1.27/1.66  showresimp =       1
% 1.27/1.66  showstatus =       2000
% 1.27/1.66  
% 1.27/1.66  prologoutput =     1
% 1.27/1.66  nrgoals =          5000000
% 1.27/1.66  totalproof =       1
% 1.27/1.66  
% 1.27/1.66  Symbols occurring in the translation:
% 1.27/1.66  
% 1.27/1.66  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.27/1.66  .  [1, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 1.27/1.66  !  [4, 1]      (w:0, o:82, a:1, s:1, b:0), 
% 1.27/1.66  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.27/1.66  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.27/1.66  'class_Ring__and__Field_Oordered__idom'  [40, 1]      (w:1, o:90, a:1, s:1
% 1.27/1.66    , b:0), 
% 1.27/1.66  'c_Power_Opower__class_Opower'  [41, 1]      (w:1, o:91, a:1, s:1, b:0), 
% 1.27/1.66  hAPP  [43, 2]      (w:1, o:195, a:1, s:1, b:0), 
% 1.27/1.66  'c_lessequals'  [46, 3]      (w:1, o:205, a:1, s:1, b:0), 
% 1.27/1.66  'tc_nat'  [47, 0]      (w:1, o:28, a:1, s:1, b:0), 
% 1.27/1.66  'c_Parity_Oeven__odd__class_Oeven'  [48, 2]      (w:1, o:196, a:1, s:1, b:0
% 1.27/1.66    ), 
% 1.27/1.66  'class_Ring__and__Field_Odivision__ring'  [49, 1]      (w:1, o:95, a:1, s:1
% 1.27/1.66    , b:0), 
% 1.27/1.66  'class_Ring__and__Field_Odivision__by__zero'  [50, 1]      (w:1, o:96, a:1
% 1.27/1.66    , s:1, b:0), 
% 1.27/1.66  'c_HOL_Oinverse__class_Oinverse'  [51, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 1.27/1.66    
% 1.27/1.66  'c_HOL_Ozero__class_Ozero'  [54, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 1.27/1.66  'class_RealVector_Oreal__normed__vector'  [55, 1]      (w:1, o:99, a:1, s:1
% 1.27/1.66    , b:0), 
% 1.27/1.66  'c_HOL_Ouminus__class_Ouminus'  [56, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 1.27/1.66  'c_COMBB'  [58, 5]      (w:1, o:218, a:1, s:1, b:0), 
% 1.27/1.66  'c_SEQ_OBseq'  [59, 2]      (w:1, o:197, a:1, s:1, b:0), 
% 1.27/1.66  'class_Ring__and__Field_Oordered__field'  [60, 1]      (w:1, o:102, a:1, s:
% 1.27/1.66    1, b:0), 
% 1.27/1.66  'class_Int_Onumber'  [61, 1]      (w:1, o:103, a:1, s:1, b:0), 
% 1.27/1.66  'c_HOL_Otimes__class_Otimes'  [62, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 1.27/1.66  'c_Int_Onumber__class_Onumber__of'  [64, 2]      (w:1, o:198, a:1, s:1, b:0
% 1.27/1.66    ), 
% 1.27/1.66  'c_HOL_Oord__class_Oless'  [66, 3]      (w:1, o:206, a:1, s:1, b:0), 
% 1.27/1.66  'c_HOL_Oinverse__class_Odivide'  [67, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 1.27/1.66    
% 1.27/1.66  'class_OrderedGroup_Opordered__ab__group__add'  [68, 1]      (w:1, o:106
% 1.27/1.66    , a:1, s:1, b:0), 
% 1.27/1.66  'c_HOL_Ominus__class_Ominus'  [69, 1]      (w:1, o:107, a:1, s:1, b:0), 
% 1.27/1.66  'c_HOL_Oplus__class_Oplus'  [72, 1]      (w:1, o:109, a:1, s:1, b:0), 
% 1.27/1.66  'c_Suc'  [74, 0]      (w:1, o:37, a:1, s:1, b:0), 
% 1.27/1.66  'class_Orderings_Oorder'  [75, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 1.27/1.66  'class_Orderings_Olinorder'  [76, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 1.27/1.66  'class_Ring__and__Field_Opordered__ring'  [77, 1]      (w:1, o:117, a:1, s:
% 1.27/1.66    1, b:0), 
% 1.27/1.66  'class_Ring__and__Field_Oordered__ring__strict'  [78, 1]      (w:1, o:112
% 1.27/1.66    , a:1, s:1, b:0), 
% 1.27/1.66  'class_Ring__and__Field_Opordered__cancel__semiring'  [79, 1]      (w:1, o:
% 1.27/1.66    118, a:1, s:1, b:0), 
% 1.27/1.66  'class_Ring__and__Field_Ofield'  [80, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 1.27/1.66    
% 1.27/1.66  'c_HOL_Oone__class_Oone'  [81, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 1.27/1.66  'c_Series_Osummable'  [82, 2]      (w:1, o:199, a:1, s:1, b:0), 
% 1.27/1.66  'class_OrderedGroup_Opordered__ab__group__add__abs'  [83, 1]      (w:1, o:
% 1.27/1.66    120, a:1, s:1, b:0), 
% 1.27/1.66  'c_HOL_Oabs__class_Oabs'  [84, 1]      (w:1, o:121, a:1, s:1, b:0), 
% 1.27/1.66  'class_Ring__and__Field_Oordered__semiring__strict'  [85, 1]      (w:1, o:
% 1.27/1.66    113, a:1, s:1, b:0), 
% 1.27/1.66  'class_RealVector_Ometric__space'  [88, 1]      (w:1, o:122, a:1, s:1, b:0)
% 1.27/1.66    , 
% 1.27/1.66  'tc_fun'  [90, 2]      (w:1, o:200, a:1, s:1, b:0), 
% 1.27/1.66  'c_COMBC'  [92, 5]      (w:1, o:219, a:1, s:1, b:0), 
% 3.32/3.65  'c_Lim_OLIM'  [93, 5]      (w:1, o:220, a:1, s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Omult__mono'  [95, 1]      (w:1, o:123, a:1, s:1
% 3.32/3.65    , b:0), 
% 3.32/3.65  'class_Ring__and__Field_Omult__mono1'  [96, 1]      (w:1, o:124, a:1, s:1
% 3.32/3.65    , b:0), 
% 3.32/3.65  'class_RealVector_Oreal__normed__field'  [97, 1]      (w:1, o:125, a:1, s:1
% 3.32/3.65    , b:0), 
% 3.32/3.65  'class_Ring__and__Field_Oordered__semidom'  [99, 1]      (w:1, o:114, a:1
% 3.32/3.65    , s:1, b:0), 
% 3.32/3.65  'class_OrderedGroup_Ocomm__monoid__add'  [100, 1]      (w:1, o:126, a:1, s:
% 3.32/3.65    1, b:0), 
% 3.32/3.65  'c_Power_Opower_Opower'  [101, 3]      (w:1, o:207, a:1, s:1, b:0), 
% 3.32/3.65  'class_Divides_Osemiring__div'  [102, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 3.32/3.65    
% 3.32/3.65  'c_Divides_Odiv__class_Odiv'  [103, 3]      (w:1, o:208, a:1, s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Osemiring__0'  [104, 1]      (w:1, o:132, a:1, s:1
% 3.32/3.65    , b:0), 
% 3.32/3.65  'class_Power_Opower'  [105, 1]      (w:1, o:150, a:1, s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Ozero__neq__one'  [106, 1]      (w:1, o:151, a:1
% 3.32/3.65    , s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Ono__zero__divisors'  [107, 1]      (w:1, o:89, a:1
% 3.32/3.65    , s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Omult__zero'  [108, 1]      (w:1, o:88, a:1, s:1
% 3.32/3.65    , b:0), 
% 3.32/3.65  'c_Fact_Ofact__class_Ofact'  [109, 2]      (w:1, o:201, a:1, s:1, b:0), 
% 3.32/3.65  'class_OrderedGroup_Olordered__ab__group__add'  [110, 1]      (w:1, o:133
% 3.32/3.65    , a:1, s:1, b:0), 
% 3.32/3.65  'c_Groebner__Basis_Ogb__semiring'  [116, 6]      (w:1, o:221, a:1, s:1, b:0
% 3.32/3.65    ), 
% 3.32/3.65  'class_Ring__and__Field_Opordered__ring__abs'  [118, 1]      (w:1, o:152
% 3.32/3.65    , a:1, s:1, b:0), 
% 3.32/3.65  'class_RealVector_Oreal__normed__algebra__1'  [119, 1]      (w:1, o:153, a:
% 3.32/3.65    1, s:1, b:0), 
% 3.32/3.65  'tc_Int_Oint'  [122, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 3.32/3.65  'c_SEQ_OLIMSEQ'  [123, 3]      (w:1, o:209, a:1, s:1, b:0), 
% 3.32/3.65  'class_Lattices_Oboolean__algebra'  [124, 1]      (w:1, o:154, a:1, s:1, b:
% 3.32/3.65    0), 
% 3.32/3.65  'class_OrderedGroup_Ogroup__add'  [125, 1]      (w:1, o:134, a:1, s:1, b:0)
% 3.32/3.65    , 
% 3.32/3.65  'class_OrderedGroup_Olordered__ab__group__add__abs'  [126, 1]      (w:1, o:
% 3.32/3.65    135, a:1, s:1, b:0), 
% 3.32/3.65  'c_SEQ_OZseq'  [127, 2]      (w:1, o:202, a:1, s:1, b:0), 
% 3.32/3.65  'class_OrderedGroup_Opordered__comm__monoid__add'  [128, 1]      (w:1, o:
% 3.32/3.65    136, a:1, s:1, b:0), 
% 3.32/3.65  'class_RealVector_Oreal__normed__div__algebra'  [129, 1]      (w:1, o:155
% 3.32/3.65    , a:1, s:1, b:0), 
% 3.32/3.65  'c_Lim_OisCont'  [130, 4]      (w:1, o:215, a:1, s:1, b:0), 
% 3.32/3.65  'class_OrderedGroup_Oordered__ab__group__add'  [131, 1]      (w:1, o:105
% 3.32/3.65    , a:1, s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Opordered__semiring'  [132, 1]      (w:1, o:156, a:
% 3.32/3.65    1, s:1, b:0), 
% 3.32/3.65  'class_Int_Onumber__ring'  [134, 1]      (w:1, o:157, a:1, s:1, b:0), 
% 3.32/3.65  'class_OrderedGroup_Oab__group__add'  [135, 1]      (w:1, o:137, a:1, s:1
% 3.32/3.65    , b:0), 
% 3.32/3.65  'c_Deriv_Odifferentiable'  [140, 3]      (w:1, o:210, a:1, s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Oidom'  [143, 1]      (w:1, o:158, a:1, s:1, b:0), 
% 3.32/3.65    
% 3.32/3.65  'class_Ring__and__Field_Oabs__if'  [144, 1]      (w:1, o:159, a:1, s:1, b:0
% 3.32/3.65    ), 
% 3.32/3.65  'class_Ring__and__Field_Oordered__semiring'  [145, 1]      (w:1, o:115, a:1
% 3.32/3.65    , s:1, b:0), 
% 3.32/3.65  'c_Int_OPls'  [146, 0]      (w:1, o:58, a:1, s:1, b:0), 
% 3.32/3.65  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [147, 1]      
% 3.32/3.65    (w:1, o:138, a:1, s:1, b:0), 
% 3.32/3.65  'c_SEQ_OCauchy'  [148, 2]      (w:1, o:203, a:1, s:1, b:0), 
% 3.32/3.65  'c_Finite__Set_Osetsum'  [150, 4]      (w:1, o:216, a:1, s:1, b:0), 
% 3.32/3.65  'c_Fun_Oinj__on'  [152, 4]      (w:1, o:217, a:1, s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Olordered__ring'  [154, 1]      (w:1, o:87, a:1, s:
% 3.32/3.65    1, b:0), 
% 3.32/3.65  'c_Int_OMin'  [155, 0]      (w:1, o:62, a:1, s:1, b:0), 
% 3.32/3.65  'c_Int_Osucc'  [156, 1]      (w:1, o:160, a:1, s:1, b:0), 
% 3.32/3.65  'c_Series_Osums'  [159, 3]      (w:1, o:211, a:1, s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Ocomm__ring__1'  [160, 1]      (w:1, o:92, a:1, s:1
% 3.32/3.65    , b:0), 
% 3.32/3.65  'c_Int_OBit0'  [161, 1]      (w:1, o:161, a:1, s:1, b:0), 
% 3.32/3.65  'c_Int_OBit1'  [162, 1]      (w:1, o:162, a:1, s:1, b:0), 
% 3.32/3.65  'c_SetInterval_Oord__class_OatLeastLessThan'  [163, 3]      (w:1, o:212, a:
% 3.32/3.65    1, s:1, b:0), 
% 3.32/3.65  'class_Orderings_Opreorder'  [166, 1]      (w:1, o:139, a:1, s:1, b:0), 
% 3.32/3.65  'class_OrderedGroup_Omonoid__mult'  [170, 1]      (w:1, o:140, a:1, s:1, b:
% 3.32/3.65    0), 
% 3.32/3.65  'c_Int_Oiszero'  [172, 2]      (w:1, o:204, a:1, s:1, b:0), 
% 3.32/3.65  'class_Ring__and__Field_Osemiring__1'  [175, 1]      (w:1, o:163, a:1, s:1
% 13.61/13.95    , b:0), 
% 13.61/13.95  hBOOL  [178, 1]      (w:1, o:164, a:1, s:1, b:0), 
% 13.61/13.95  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [179, 1]      
% 13.61/13.95    (w:1, o:116, a:1, s:1, b:0), 
% 13.61/13.95  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [180, 1]      
% 13.61/13.95    (w:1, o:141, a:1, s:1, b:0), 
% 13.61/13.95  'class_RealVector_Oreal__normed__algebra'  [181, 1]      (w:1, o:165, a:1
% 13.61/13.95    , s:1, b:0), 
% 13.61/13.95  'class_Ring__and__Field_Oring'  [182, 1]      (w:1, o:128, a:1, s:1, b:0), 
% 13.61/13.95    
% 13.61/13.95  'class_Ring__and__Field_Oring__no__zero__divisors'  [183, 1]      (w:1, o:
% 13.61/13.95    129, a:1, s:1, b:0), 
% 13.61/13.95  'class_Ring__and__Field_Ocomm__semiring__1'  [184, 1]      (w:1, o:93, a:1
% 13.61/13.95    , s:1, b:0), 
% 13.61/13.95  'class_RealVector_Oreal__field'  [191, 1]      (w:1, o:166, a:1, s:1, b:0)
% 13.61/13.95    , 
% 13.61/13.95  'class_OrderedGroup_Opordered__ab__semigroup__add'  [192, 1]      (w:1, o:
% 13.61/13.95    142, a:1, s:1, b:0), 
% 13.61/13.95  'class_OrderedGroup_Omonoid__add'  [193, 1]      (w:1, o:143, a:1, s:1, b:0
% 13.61/13.95    ), 
% 13.61/13.95  'class_Int_Oring__char__0'  [194, 1]      (w:1, o:167, a:1, s:1, b:0), 
% 13.61/13.95  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [197, 1]      (w:1
% 13.61/13.95    , o:130, a:1, s:1, b:0), 
% 13.61/13.95  'class_Ring__and__Field_Oring__1'  [199, 1]      (w:1, o:131, a:1, s:1, b:0
% 13.61/13.95    ), 
% 13.61/13.95  'c_FFT__Mirabelle_Oroot'  [200, 1]      (w:1, o:168, a:1, s:1, b:0), 
% 13.61/13.95  'c_Complex_Oii'  [201, 0]      (w:1, o:72, a:1, s:1, b:0), 
% 13.61/13.95  'tc_Complex_Ocomplex'  [202, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 13.61/13.95  'class_Ring__and__Field_Osemiring'  [203, 1]      (w:1, o:169, a:1, s:1, b:
% 13.61/13.95    0), 
% 13.61/13.95  'class_OrderedGroup_Ocancel__semigroup__add'  [205, 1]      (w:1, o:144, a:
% 13.61/13.95    1, s:1, b:0), 
% 13.61/13.95  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [206, 1]      (w:1, o:145
% 13.61/13.95    , a:1, s:1, b:0), 
% 13.61/13.95  'class_Ring__and__Field_Ocomm__semiring'  [207, 1]      (w:1, o:94, a:1, s:
% 13.61/13.95    1, b:0), 
% 13.61/13.95  'class_OrderedGroup_Oab__semigroup__mult'  [208, 1]      (w:1, o:146, a:1
% 13.61/13.95    , s:1, b:0), 
% 13.61/13.95  'class_OrderedGroup_Ocomm__monoid__mult'  [209, 1]      (w:1, o:147, a:1
% 13.61/13.95    , s:1, b:0), 
% 13.61/13.95  'class_OrderedGroup_Oab__semigroup__idem__mult'  [210, 1]      (w:1, o:148
% 13.61/13.95    , a:1, s:1, b:0), 
% 13.61/13.95  'class_OrderedGroup_Oab__semigroup__add'  [211, 1]      (w:1, o:149, a:1
% 13.61/13.95    , s:1, b:0), 
% 13.61/13.95  'v_m'  [214, 0]      (w:1, o:76, a:1, s:1, b:0), 
% 13.61/13.95  'v_a'  [215, 0]      (w:1, o:77, a:1, s:1, b:0), 
% 13.61/13.95  'v_i'  [216, 0]      (w:1, o:78, a:1, s:1, b:0), 
% 13.61/13.95  'c_FFT__Mirabelle_ODFT'  [217, 3]      (w:1, o:213, a:1, s:1, b:0), 
% 13.61/13.95  'c_fequal'  [220, 3]      (w:1, o:214, a:1, s:1, b:0).
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Starting Search:
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    6002
% 13.61/13.95  Kept:         2008
% 13.61/13.95  Inuse:        87
% 13.61/13.95  Deleted:      9
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    13518
% 13.61/13.95  Kept:         4011
% 13.61/13.95  Inuse:        161
% 13.61/13.95  Deleted:      10
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    21332
% 13.61/13.95  Kept:         6014
% 13.61/13.95  Inuse:        240
% 13.61/13.95  Deleted:      11
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    33437
% 13.61/13.95  Kept:         8015
% 13.61/13.95  Inuse:        276
% 13.61/13.95  Deleted:      11
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    43769
% 13.61/13.95  Kept:         10530
% 13.61/13.95  Inuse:        343
% 13.61/13.95  Deleted:      13
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    50003
% 13.61/13.95  Kept:         12638
% 13.61/13.95  Inuse:        391
% 13.61/13.95  Deleted:      20
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    59861
% 13.61/13.95  Kept:         15026
% 13.61/13.95  Inuse:        446
% 13.61/13.95  Deleted:      20
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    73788
% 13.61/13.95  Kept:         17820
% 13.61/13.95  Inuse:        466
% 13.61/13.95  Deleted:      20
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    84649
% 13.61/13.95  Kept:         19820
% 13.61/13.95  Inuse:        485
% 13.61/13.95  Deleted:      20
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  Resimplifying clauses:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 13.61/13.95  Generated:    92703
% 13.61/13.95  Kept:         22074
% 13.61/13.95  Inuse:        506
% 13.61/13.95  Deleted:      210
% 13.61/13.95  Deletedinuse: 0
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  Resimplifying inuse:
% 13.61/13.95  Done
% 13.61/13.95  
% 13.61/13.95  
% 13.61/13.95  Intermediate Status:
% 37.12/37.52  Generated:    102370
% 37.12/37.52  Kept:         24798
% 37.12/37.52  Inuse:        531
% 37.12/37.52  Deleted:      210
% 37.12/37.52  Deletedinuse: 0
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    111364
% 37.12/37.52  Kept:         27119
% 37.12/37.52  Inuse:        566
% 37.12/37.52  Deleted:      210
% 37.12/37.52  Deletedinuse: 0
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    120728
% 37.12/37.52  Kept:         29589
% 37.12/37.52  Inuse:        615
% 37.12/37.52  Deleted:      215
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    141690
% 37.12/37.52  Kept:         33255
% 37.12/37.52  Inuse:        635
% 37.12/37.52  Deleted:      215
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    156987
% 37.12/37.52  Kept:         35977
% 37.12/37.52  Inuse:        655
% 37.12/37.52  Deleted:      215
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    171255
% 37.12/37.52  Kept:         38286
% 37.12/37.52  Inuse:        680
% 37.12/37.52  Deleted:      215
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    181174
% 37.12/37.52  Kept:         40356
% 37.12/37.52  Inuse:        710
% 37.12/37.52  Deleted:      215
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying clauses:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    208129
% 37.12/37.52  Kept:         43624
% 37.12/37.52  Inuse:        735
% 37.12/37.52  Deleted:      519
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    218054
% 37.12/37.52  Kept:         45636
% 37.12/37.52  Inuse:        770
% 37.12/37.52  Deleted:      519
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    226322
% 37.12/37.52  Kept:         48334
% 37.12/37.52  Inuse:        784
% 37.12/37.52  Deleted:      519
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    233886
% 37.12/37.52  Kept:         50579
% 37.12/37.52  Inuse:        800
% 37.12/37.52  Deleted:      519
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    245116
% 37.12/37.52  Kept:         52958
% 37.12/37.52  Inuse:        830
% 37.12/37.52  Deleted:      519
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    254661
% 37.12/37.52  Kept:         55061
% 37.12/37.52  Inuse:        850
% 37.12/37.52  Deleted:      519
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    265935
% 37.12/37.52  Kept:         57501
% 37.12/37.52  Inuse:        875
% 37.12/37.52  Deleted:      519
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    273900
% 37.12/37.52  Kept:         59514
% 37.12/37.52  Inuse:        901
% 37.12/37.52  Deleted:      519
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying clauses:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    283726
% 37.12/37.52  Kept:         61803
% 37.12/37.52  Inuse:        930
% 37.12/37.52  Deleted:      701
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    292314
% 37.12/37.52  Kept:         64043
% 37.12/37.52  Inuse:        955
% 37.12/37.52  Deleted:      701
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    301972
% 37.12/37.52  Kept:         66084
% 37.12/37.52  Inuse:        985
% 37.12/37.52  Deleted:      701
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    316688
% 37.12/37.52  Kept:         68700
% 37.12/37.52  Inuse:        1010
% 37.12/37.52  Deleted:      701
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    328153
% 37.12/37.52  Kept:         70712
% 37.12/37.52  Inuse:        1025
% 37.12/37.52  Deleted:      701
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    340410
% 37.12/37.52  Kept:         72786
% 37.12/37.52  Inuse:        1065
% 37.12/37.52  Deleted:      701
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    348729
% 37.12/37.52  Kept:         74797
% 37.12/37.52  Inuse:        1087
% 37.12/37.52  Deleted:      701
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    356069
% 37.12/37.52  Kept:         77004
% 37.12/37.52  Inuse:        1105
% 37.12/37.52  Deleted:      701
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  
% 37.12/37.52  Intermediate Status:
% 37.12/37.52  Generated:    366079
% 37.12/37.52  Kept:         79049
% 37.12/37.52  Inuse:        1135
% 37.12/37.52  Deleted:      701
% 37.12/37.52  Deletedinuse: 4
% 37.12/37.52  
% 37.12/37.52  Resimplifying inuse:
% 37.12/37.52  Done
% 37.12/37.52  
% 37.12/37.52  Resimplifying clauses:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    377785
% 94.68/95.03  Kept:         81116
% 94.68/95.03  Inuse:        1170
% 94.68/95.03  Deleted:      807
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    392003
% 94.68/95.03  Kept:         83658
% 94.68/95.03  Inuse:        1210
% 94.68/95.03  Deleted:      807
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    403688
% 94.68/95.03  Kept:         85917
% 94.68/95.03  Inuse:        1230
% 94.68/95.03  Deleted:      807
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    420864
% 94.68/95.03  Kept:         88269
% 94.68/95.03  Inuse:        1270
% 94.68/95.03  Deleted:      807
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    453943
% 94.68/95.03  Kept:         92571
% 94.68/95.03  Inuse:        1295
% 94.68/95.03  Deleted:      807
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    461646
% 94.68/95.03  Kept:         94888
% 94.68/95.03  Inuse:        1303
% 94.68/95.03  Deleted:      807
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    470998
% 94.68/95.03  Kept:         96911
% 94.68/95.03  Inuse:        1310
% 94.68/95.03  Deleted:      807
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    481314
% 94.68/95.03  Kept:         99421
% 94.68/95.03  Inuse:        1320
% 94.68/95.03  Deleted:      807
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying clauses:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    488726
% 94.68/95.03  Kept:         101587
% 94.68/95.03  Inuse:        1335
% 94.68/95.03  Deleted:      915
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    498265
% 94.68/95.03  Kept:         103593
% 94.68/95.03  Inuse:        1349
% 94.68/95.03  Deleted:      915
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    509282
% 94.68/95.03  Kept:         106031
% 94.68/95.03  Inuse:        1360
% 94.68/95.03  Deleted:      915
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    519269
% 94.68/95.03  Kept:         108036
% 94.68/95.03  Inuse:        1367
% 94.68/95.03  Deleted:      915
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    529233
% 94.68/95.03  Kept:         110370
% 94.68/95.03  Inuse:        1375
% 94.68/95.03  Deleted:      915
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    538645
% 94.68/95.03  Kept:         112774
% 94.68/95.03  Inuse:        1400
% 94.68/95.03  Deleted:      915
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    548543
% 94.68/95.03  Kept:         115110
% 94.68/95.03  Inuse:        1425
% 94.68/95.03  Deleted:      915
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    561775
% 94.68/95.03  Kept:         118445
% 94.68/95.03  Inuse:        1445
% 94.68/95.03  Deleted:      915
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    569692
% 94.68/95.03  Kept:         120803
% 94.68/95.03  Inuse:        1465
% 94.68/95.03  Deleted:      915
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying clauses:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    580258
% 94.68/95.03  Kept:         123018
% 94.68/95.03  Inuse:        1495
% 94.68/95.03  Deleted:      985
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    597820
% 94.68/95.03  Kept:         126538
% 94.68/95.03  Inuse:        1525
% 94.68/95.03  Deleted:      985
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    611970
% 94.68/95.03  Kept:         128912
% 94.68/95.03  Inuse:        1560
% 94.68/95.03  Deleted:      985
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    622123
% 94.68/95.03  Kept:         131201
% 94.68/95.03  Inuse:        1580
% 94.68/95.03  Deleted:      985
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    634507
% 94.68/95.03  Kept:         133716
% 94.68/95.03  Inuse:        1605
% 94.68/95.03  Deleted:      985
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    652451
% 94.68/95.03  Kept:         137316
% 94.68/95.03  Inuse:        1630
% 94.68/95.03  Deleted:      985
% 94.68/95.03  Deletedinuse: 4
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    664282
% 94.68/95.03  Kept:         139585
% 94.68/95.03  Inuse:        1655
% 94.68/95.03  Deleted:      991
% 94.68/95.03  Deletedinuse: 5
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  Resimplifying inuse:
% 94.68/95.03  Done
% 94.68/95.03  
% 94.68/95.03  
% 94.68/95.03  Intermediate Status:
% 94.68/95.03  Generated:    679679
% 171.98/172.38  Kept:         142692
% 171.98/172.38  Inuse:        1675
% 171.98/172.38  Deleted:      991
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying clauses:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    691064
% 171.98/172.38  Kept:         145035
% 171.98/172.38  Inuse:        1695
% 171.98/172.38  Deleted:      1309
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    710577
% 171.98/172.38  Kept:         147207
% 171.98/172.38  Inuse:        1715
% 171.98/172.38  Deleted:      1309
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    723234
% 171.98/172.38  Kept:         149865
% 171.98/172.38  Inuse:        1725
% 171.98/172.38  Deleted:      1309
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    730847
% 171.98/172.38  Kept:         151946
% 171.98/172.38  Inuse:        1740
% 171.98/172.38  Deleted:      1309
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    738967
% 171.98/172.38  Kept:         153949
% 171.98/172.38  Inuse:        1757
% 171.98/172.38  Deleted:      1309
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    748316
% 171.98/172.38  Kept:         156093
% 171.98/172.38  Inuse:        1780
% 171.98/172.38  Deleted:      1309
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    769344
% 171.98/172.38  Kept:         160565
% 171.98/172.38  Inuse:        1795
% 171.98/172.38  Deleted:      1309
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    785731
% 171.98/172.38  Kept:         164054
% 171.98/172.38  Inuse:        1800
% 171.98/172.38  Deleted:      1309
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying clauses:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    798927
% 171.98/172.38  Kept:         166062
% 171.98/172.38  Inuse:        1833
% 171.98/172.38  Deleted:      1444
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    813134
% 171.98/172.38  Kept:         169546
% 171.98/172.38  Inuse:        1845
% 171.98/172.38  Deleted:      1444
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    820056
% 171.98/172.38  Kept:         171939
% 171.98/172.38  Inuse:        1865
% 171.98/172.38  Deleted:      1444
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    839593
% 171.98/172.38  Kept:         176037
% 171.98/172.38  Inuse:        1895
% 171.98/172.38  Deleted:      1444
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    850322
% 171.98/172.38  Kept:         178490
% 171.98/172.38  Inuse:        1915
% 171.98/172.38  Deleted:      1444
% 171.98/172.38  Deletedinuse: 5
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    860588
% 171.98/172.38  Kept:         181056
% 171.98/172.38  Inuse:        1935
% 171.98/172.38  Deleted:      1445
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    870526
% 171.98/172.38  Kept:         183750
% 171.98/172.38  Inuse:        1950
% 171.98/172.38  Deleted:      1445
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying clauses:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    881544
% 171.98/172.38  Kept:         186574
% 171.98/172.38  Inuse:        1965
% 171.98/172.38  Deleted:      1768
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    906722
% 171.98/172.38  Kept:         193137
% 171.98/172.38  Inuse:        1975
% 171.98/172.38  Deleted:      1768
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    946527
% 171.98/172.38  Kept:         195351
% 171.98/172.38  Inuse:        2005
% 171.98/172.38  Deleted:      1768
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    957554
% 171.98/172.38  Kept:         197713
% 171.98/172.38  Inuse:        2010
% 171.98/172.38  Deleted:      1768
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    968197
% 171.98/172.38  Kept:         200058
% 171.98/172.38  Inuse:        2015
% 171.98/172.38  Deleted:      1768
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    979482
% 171.98/172.38  Kept:         202230
% 171.98/172.38  Inuse:        2035
% 171.98/172.38  Deleted:      1768
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    994907
% 171.98/172.38  Kept:         205335
% 171.98/172.38  Inuse:        2045
% 171.98/172.38  Deleted:      1768
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying clauses:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    1008325
% 171.98/172.38  Kept:         207858
% 171.98/172.38  Inuse:        2050
% 171.98/172.38  Deleted:      1881
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:
% 171.98/172.38  Generated:    1023637
% 171.98/172.38  Kept:         210693
% 171.98/172.38  Inuse:        2055
% 171.98/172.38  Deleted:      1881
% 171.98/172.38  Deletedinuse: 6
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  Resimplifying inuse:
% 171.98/172.38  Done
% 171.98/172.38  
% 171.98/172.38  
% 171.98/172.38  Intermediate Status:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------